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<h2>SL Paper 3</h2><div class="specification">
<p>A lamp is located 6.0 m from a screen.</p>
<p><img src="data:image/png;base64,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"></p>
<p>Somewhere between the lamp and the screen, a lens is placed so that it produces a real inverted image on the screen. The image produced is 4.0 times larger than the lamp.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify the nature of the lens.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the distance between the lamp and the lens.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the focal length of the lens.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The lens is moved to a second position where the image on the screen is again focused. The lamp–screen distance does not change. Compare the characteristics of this new image with the original image.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>converging/positive/biconvex/plane convex</p>
<p><em>Do not accept convex.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{v}{u} = 4">
  <mfrac>
    <mi>v</mi>
    <mi>u</mi>
  </mfrac>
  <mo>=</mo>
  <mn>4</mn>
</math></span><br><em>Award <strong>[3]</strong> for a bald correct answer.</em></p>
<p><em>v </em>+ <em>u </em>= 6<br><em>Allow <strong>[1]</strong> if the answer is 4.8 «m».</em></p>
<p>so lens is 1.2 «m» from object <em><strong>or</strong></em> u = 1.2 «m»</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{u} + \frac{1}{v} = \frac{1}{f}">
  <mfrac>
    <mn>1</mn>
    <mi>u</mi>
  </mfrac>
  <mo>+</mo>
  <mfrac>
    <mn>1</mn>
    <mi>v</mi>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mn>1</mn>
    <mi>f</mi>
  </mfrac>
</math></span>, so <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{{1.2}} + \frac{1}{{4.8}} = \frac{1}{f}">
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>1.2</mn>
    </mrow>
  </mfrac>
  <mo>+</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>4.8</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mn>1</mn>
    <mi>f</mi>
  </mfrac>
</math></span>, so» <em>f </em>= 0.96 «m» <em><strong>or</strong></em> 1 «m»</p>
<p><em>Watch for ECF from (b)</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>real AND inverted</p>
<p>smaller OR diminished </p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>Spherical converging mirrors are reflecting surfaces which are cut out of a sphere. The diagram shows a mirror, where the dot represents the centre of curvature of the mirror.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A ray of light is incident on a converging mirror. On the diagram, draw the reflection of the incident ray shown.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The incident ray shown in the diagram makes a significant angle with the optical axis.</p>
<p>(i) State the aberration produced by these kind of rays.</p>
<p>(ii) Outline how this aberration is overcome.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><em><strong>ALTERNATIVE 1 </strong></em></p>
<p>for incident ray, normal drawn which pass through C</p>
<p>reflected ray drawn such as <em>i</em>=<em>r</em></p>
<p><em>i = r by eye <br>If normal is not visibly constructed using C,do not award MP1.<br>If no normal is drawn then grazing angles must be equal for MP2. </em>  </p>
<p><em><strong>ALTERNATIVE 2</strong></em></p>
<p>drawn second ray through C, parallel to incident ray  </p>
<p>adds focal plane and draws reflected ray so that it meets 2nd ray at focal plane</p>
<p><em>Focal plane position by eye, half-way between C and mirror.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>i</p>
<p>spherical «aberration»</p>
<p> </p>
<p>ii</p>
<p>using parabolic mirror<br><em><strong>OR<br></strong></em>reducing the aperture</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Optical fibres can be classified, based on the way the light travels through them, as single-mode or multimode fibres. Multimode fibres can be classified as step-index or graded-index fibres.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the main physical difference between step-index and graded-index fibres.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why graded-index fibres help reduce waveguide dispersion.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>step-index fibres have constant «core» refracting index, graded index fibres have refracting index that reduces/decreases/gets smaller away from axis<br><em>OWTTE but refractive index is variable is not enough for the mark.<br>Award the mark if these ideas are evident in the answer to 14(b).</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«in graded index fibres» rays travelling longer paths travel faster</p>
<p>so that rays travelling different paths arrive at same/similar time</p>
<p><em>Ignore statements about different colours/wavelengths. </em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>Both optical refracting telescopes and compound microscopes consist of two converging lenses.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Compare the focal lengths needed for the objective lens in an refracting telescope and in a compound microscope.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A student has four converging lenses of focal length 5, 20, 150 and 500 mm. Determine the maximum magnification that can be obtained with a refracting telescope using <strong>two</strong> of the lenses.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>There are optical telescopes which have diameters about 10 m. There are radio telescopes with single dishes of diameters at least 10 times greater.</p>
<p>(i) Discuss why, for the same number of incident photons per unit area, radio telescopes need to be much larger than optical telescopes.</p>
<p>(ii) Outline how is it possible for radio telescopes to achieve diameters of the order of a thousand kilometres.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows a schematic view of a compound microscope with the focal points <em>f</em><sub>o</sub> of the objective lens and the focal points <em>f</em><sub>e</sub> of the eyepiece lens marked on the axis.</p>
<p><img 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"></p>
<p>On the diagram, identify with an X, a suitable position for the image formed by the objective of the compound microscope.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Image 1 shows details on the petals of a flower under visible light. Image 2 shows the same flower under ultraviolet light. The magnification is the same, but the resolution is higher in Image 2.</p>
<p><img 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"></p>
<p>Explain why an ultraviolet microscope can increase the resolution of a compound microscope.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>fOBJECTIVE for telescope &gt; fOBJECTIVE for microscope <br>OR </p>
<p>fOBJECTIVE for telescope&gt; fEYEPIECE for telescope but fOBJECTIVE for microscope&lt; fEYEPIECE for microscope</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{500}}{5}">
  <mfrac>
    <mrow>
      <mn>500</mn>
    </mrow>
    <mn>5</mn>
  </mfrac>
</math></span><br><em><strong>OR</strong></em><br>100 times</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>i <br>RF photons have smaller energy, so signal requires larger dish</p>
<p>RF waves have greater wavelength, good resolution requires larger dish <br><em>Must see both, reason and explanation. </em><br><br>ii <br>use of an array of dishes/many mutually connected antennas «so the effective diameter equals to the distance between the furthest antennas» <br><br></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>between <em>f</em><sub>e</sub> and eyepiece lens, on its left</p>
<p><img src="data:image/png;base64,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"></p>
<p><em>Accept any clear indication of the image (eg: X, arrow, dot).</em><br><em>Accept positions which are slightly off axis.</em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>resolution improves as wavelength decreases AND wavelength of UV is smaller<br>OR<br> gives resolution formula AND adds that λ is smaller for UV </p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>The diagram is a partially-completed ray diagram for a compound microscope that consists of two thin converging lenses. The objective lens L<sub>1</sub> has a focal length&nbsp;of 3.0 cm. The object is placed 4.0 cm to the left of L<sub>1</sub>. The final virtual image is formed at the near point of the observer, a distance of 24 cm from the eyepiece lens L<sub>2</sub>.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-09-26_om_15.46.06.png" alt="M17/4/PHYSI/SP3/ENG/TZ1/7a"></p>
</div>

<div class="specification">
<p>Two converging lenses are used to make an astronomical telescope. The focal length of the objective is 85.0 cm and that of the eyepiece is 2.50 cm. The telescope is used to form a final image of the Moon at infinity.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by a virtual image.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the image of the object formed by L<sub>1</sub> is 12 cm to the right of L<sub>1</sub>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The distance between the lenses is 18 cm. Determine the focal length of L<sub>2</sub>.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram draw rays to locate the focal point of L<sub>2</sub>. Label this point F.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iv.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why, for the final image to form at infinity, the distance between the lenses must be 87.5 cm.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The angular diameter of the Moon at the naked eye is 7.8 × 10<sup>–3</sup> rad.</p>
<p>Calculate the angular diameter of the final image of the Moon.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>By reference to chromatic aberration, explain <strong>one</strong> advantage of a reflecting telescope over a refracting telescope.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>an image formed by extensions of rays, not rays themselves<br><em><strong>OR</strong></em><br>an image that cannot be projected on a screen</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{v} = \frac{1}{{3.0}} - \frac{1}{{4.0}}">
  <mfrac>
    <mn>1</mn>
    <mi>v</mi>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>3.0</mn>
    </mrow>
  </mfrac>
  <mo>−</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>4.0</mn>
    </mrow>
  </mfrac>
</math></span></p>
<p>«<em>v</em> = 12 cm»</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>u</em> = 18&nbsp;– 12 = 6.0&nbsp;«cm»</p>
<p><em>v</em> =&nbsp;–24&nbsp;«cm»</p>
<p>«<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{f} = \frac{1}{{6.0}} - \frac{1}{{24}} \Rightarrow ">
  <mfrac>
    <mn>1</mn>
    <mi>f</mi>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>6.0</mn>
    </mrow>
  </mfrac>
  <mo>−</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>24</mn>
    </mrow>
  </mfrac>
  <mo stretchy="false">⇒</mo>
</math></span>» <em>f</em> = 8.0&nbsp;«cm»</p>
<p>&nbsp;</p>
<p><em>Award <strong>[2 max]</strong> for answer of 4.8 cm.</em><br><em>Minus sign required for MP2.</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>line parallel to principal axis from intermediate image meeting eyepiece lens at P</p>
<p>line from arrow of final image to P intersecting principal axis at F</p>
<p><img src="data:image/png;base64,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"></p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.iv.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>object is far away so intermediate image forms at focal plane of objective</p>
<p>for final image at infinity object must also be at focal point of eyepiece</p>
<p>«hence 87.5 cm»</p>
<p>&nbsp;</p>
<p><em>No mark for simple addition of focal lengths without explanation.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>angular magnification = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{85.0}}{{2.50}}">
  <mfrac>
    <mrow>
      <mn>85.0</mn>
    </mrow>
    <mrow>
      <mn>2.50</mn>
    </mrow>
  </mfrac>
</math></span> = 34</p>
<p>angular diameter 3.4 × 7.8 × 10<sup>−3</sup> = 0.2652 ≈ 0.27 «rad»</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>chromatic aberration is the dependence of refractive index on wavelength</p>
<p>but mirrors rely on reflection<br><em><strong>OR</strong></em><br>mirrors do not involve refraction</p>
<p>«so do not suffer chromatic aberration»</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.iv.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The diagram shows planar wavefronts incident on a converging lens. The focal point of the&nbsp;lens is marked with the letter F.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-09-27_om_08.02.15.png" alt="M17/4/PHYSI/SP3/ENG/TZ2/08"></p>
<p>Wavefront X is incomplete. Point Q and point P lie on the surface of the lens and the&nbsp;principal axis.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram, sketch the&nbsp;part of wavefront X that is inside the lens.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram, sketch the wavefront in air that passes through point P. Label this wavefront Y.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain your sketch in (a)(i).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two parallel rays are incident on a system consisting of a diverging lens of&nbsp;focal length 4.0 cm and a converging lens of focal length 12 cm.</p>
<p><img 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"></p>
<p>The rays emerge parallel from the converging lens. Determine the distance between&nbsp;the two lenses.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>line of correct curvature as shown</p>
<p><img src="data:image/png;base64,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"></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>line of approximately correct curvature as shown</p>
<p><img src="data:image/png;base64,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"></p>
<p>&nbsp;</p>
<p><em>Judged by eye.</em></p>
<p><em>Allow second wavefront Y, to have “passed” P as this is how this&nbsp;question is being interpreted by some.</em></p>
<p><em>Ignore any waves beyond Y.</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>wave travels slower in glass than in air<br><em><strong>OR</strong></em><br>RI greater for glass<br><br>wavelength less in glass than air</p>
<p>hence wave from Q will cover a shorter distance «than in air»&nbsp;causing the curvature shown</p>
<p>&nbsp;</p>
<p><em>OWTTE</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>realization that the two lenses must have a common focal point</p>
<p>distance is 12 – 4.0 =&nbsp;8.0 «cm»</p>
<p>&nbsp;</p>
<p><em>Accept MP1 from a separate diagram or a sketch on&nbsp;the original diagram.</em></p>
<p><em>A valid reason from MP1 is expected.</em></p>
<p><em>Award <strong>[1 max]</strong> for a bald answer of 12 – 4 =&nbsp;8 «cm».</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Communication signals are transmitted through optic fibres using infrared radiation.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>two</strong> advantages of optic fibres over coaxial cables for these transmissions.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest why infrared radiation rather than visible light is used in these transmissions.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A signal with an input power of 15 mW is transmitted along an optic fibre which has an attenuation per unit length of 0.30 dB<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,">
  <mspace width="thinmathspace"></mspace>
</math></span>km<sup>–1</sup>. The power at the receiver is 2.4 mW.</p>
<p>Calculate the length of the fibre.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State and explain why it is an advantage for the core of an optic fibre to be&nbsp;extremely thin.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>longer distance without amplification</p>
<p>signal cannot easily be interfered with</p>
<p>less noise</p>
<p>no cross talk</p>
<p>higher data transfer rate</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>infrared radiation suffers lower attenuation</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>loss = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="10\log \frac{{2.4}}{{15}}">
  <mn>10</mn>
  <mi>log</mi>
  <mo>⁡</mo>
  <mfrac>
    <mrow>
      <mn>2.4</mn>
    </mrow>
    <mrow>
      <mn>15</mn>
    </mrow>
  </mfrac>
</math></span>&nbsp;«= −7.959 dB»</p>
<p>length =&nbsp;«<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{7.959}}{{0.30}} = ">
  <mfrac>
    <mrow>
      <mn>7.959</mn>
    </mrow>
    <mrow>
      <mn>0.30</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
</math></span>» 26.53 ≈ 27&nbsp;«km»</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>a thin core means that rays follow essentially the same path / OWTTE</p>
<p>and so waveguide (modal) dispersion is minimal / OWTTE</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Two converging lenses placed a distance 90 cm apart are used as a simple astronomical&nbsp;refracting telescope at normal adjustment. The angular magnification of this arrangement&nbsp;is 17.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the focal length of each lens.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The telescope is used to form an image of the Moon. The angle subtended by the&nbsp;image of the Moon at the eyepiece is 0.16 rad. The distance to the Moon is 3.8 x&nbsp;10<sup>8</sup> m.&nbsp;Estimate the diameter of the Moon.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>two</strong> advantages of the use of satellite-borne telescopes compared to&nbsp;Earth-based telescopes.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAxIAAAC0CAYAAAAAaRqlAAAP1klEQVR4Ae3dT6hcdxUH8HNjUBfRVRAyKeJC/LMQCgZc2IVNFw+lgrQSXQhKVoJKKbQMBFcqaCCYjYqroWJxIahFNxZxiNuIINTFcxbFLkw2b/XMIhWcK/PQoum9Qx7c/O79nfsJpLT3Tn/ndz7nN535Zqa8pm3bNvwiQIAAAQIECBAgQIDAKQTOnOKxHkqAAAECBAgQIECAAIETAUHCQSBAgAABAgQIECBA4NQCTUT4atOp2fwLBAgQIECAAAECBOYl8OD/EXF2d6FpmnjwxrxYdEuAAAECBAgQIECAQJdAX1bw1aYuLdcIECBAgAABAgQIENgrIEjs5XGTAAECBAgQIECAAIEuAUGiS8U1AgQIECBAgAABAgT2CggSe3ncJECAAAECBAgQIECgS0CQ6FJxjQABAgQIECBAgACBvQKCxF4eNwkQIECAAAECBAgQ6BIQJLpUXCNAgAABAgQIECBAYK+AILGXx00CBAgQIECAAAECBLoEBIkuFdcIECBAgAABAgQIENgrIEjs5XGTAAECBAgQIECAAIEuAUGiS8U1AgQIECBAgAABAgT2CggSe3ncJECAAAECBAgQIECgS0CQ6FJxjQABAgQIECBAgACBvQKCxF4eNwkQIECAAAECBAgQ6BIQJLpUXCNAgAABAgQIECBAYK+AILGXx00CBAgQIECAAAECBLoEBIkuFdcIECBAgAABAgQIENgrIEjs5XGTAAECBAgQIECAAIEuAUGiS8U1AgQIECBAgAABAgT2CggSe3ncJECAAAECBAgQIECgSyBHkLh3O248+clYro+6enSNAAECBAgQIECAAIGBBeoPEvf+Ej/59nfjV7feHJjGcgQIECBAgAABAgQI9AlUHCT+GXf/9NNYfm0dH73ymTjX16HrBAgQIECAAAECBAgMLlBtkNhuXo6vvPB6HHzvq3HpPe8YHMaCBAgQIECAAAECBAj0C5ztvzXtO2cWT8dLvzkfF86die0/pr1XuyNAgAABAgQIECCQTaDaIBHn3hcXsk1DPwQIECBAgAABAgQqEaj2q02V+NomAQIECBAgQIAAgZQCgkTKsWqKAAECBAgQIECAwKMVECQera/VCRAgQIAAAQIECKQUECRSjlVTBAgQIECAAAECBB6tgCDxaH2tToAAAQIECBAgQCClQOogsd2s4qBpYrFcx/Ekx3c/Nqsr0TSXYrk+6t3hQ/WxPYzVwSKaxbVYH2971ipdL6LevZe2Um93aJ2XHcIUn8vZz6ezd/Ki4exFRPazrr/Jvtb0vHOb+uWmbdu2aZpo23bqe7U/AgQIECBAgAABAgQKC/RlhdSfSBQ2Vo4AAQIECBAgQIDAbAQEidmMWqMECBAgQIAAAQIEhhMQJIaztBIBAgQIECBAgACB2QgIErMZtUYJECBAgAABAgQIDCcgSAxnaSUCBAgQIECAAAECsxEQJGYzao0SIECAAAECBAgQGE5AkBjO0koECBAgQIAAAQIEZiMgSMxm1BolQIAAAQIECBAgMJyAIDGcpZUIECBAgAABAgQIzEZAkJjNqDVKgAABAgQIECBAYDgBQWI4SysRIECAAAECBAgQmI2AIDGbUWuUAAECBAgQIECAwHACgsRwllYiQIAAAQIECBAgMBsBQWI2o9YoAQIECBAgQIAAgeEEBInhLK1EgAABAgQIECBAYDYCgsRsRq1RAgQIECBAgAABAsMJCBLDWVqJAAECBAgQIECAwGwEBInZjFqjBAgQIECAAAECBIYTECSGs7QSAQIECBAgQIAAgdkICBKzGbVGCRAgQIAAAQIECAwnIEgMZ2klAgQIECBAgAABArMRECRmM2qNEiBAgAABAgQIEBhOQJAYztJKBAgQIECAAAECBGYjIEjMZtQaJUCAAAECBAgQIDCcgCAxnKWVCBAgQIAAAQIECMxGQJCYzag1SoAAAQIECBAgQGA4AUFiOEsrESBAgAABAgQIEJiNgCAxm1FrlAABAgQIECBAgMBwAoLEcJZWIkCAAAECBAgQIDAbAUFi1FHfj83qSjTNpViuj3p3st2s4qBpYrFcx3Hfo7aHsTpYRLO4Fuvjbc+jSteLqHfvpa3U2x1a52WHMMXncvbz6eydvGg4exGR/azrb7KvNT3v3KZ+uWnbtm2aJtq2nfpe7Y8AAQIECBAgQIAAgcICfVnBJxKFB6EcAQIECBAgQIAAgQwCgkSGKeqBAAECBAgQIECAQGEBQaIwuHIECBAgQIAAAQIEMggIEhmmqAcCBAgQIECAAAEChQUEicLgyhEgQIAAAQIECBDIICBIZJiiHggQIECAAAECBAgUFhAkCoMrR4AAAQIECBAgQCCDgCCRYYp6IECAAAECBAgQIFBYQJAoDK4cAQIECBAgQIAAgQwCgkSGKeqBAAECBAgQIECAQGEBQaIwuHIECBAgQIAAAQIEMggIEhmmqAcCBAgQIECAAAEChQUEicLgyhEgQIAAAQIECBDIICBIZJiiHggQIECAAAECBAgUFhAkCoMrR4AAAQIECBAgQCCDgCCRYYp6IECAAAECBAgQIFBYQJAoDK4cAQIECBAgQIAAgQwCgkSGKeqBAAECBAgQIECAQGEBQaIwuHIECBAgQIAAAQIEMggIEhmmqAcCBAgQIECAAAEChQUEicLgyhEgQIAAAQIECBDIICBIZJiiHggQIECAAAECBAgUFhAkCoMrR4AAAQIECBAgQCCDgCCRYYp6IECAAAECBAgQIFBYQJAoDK4cAQIECBAgQIAAgQwCgkSGKeqBAAECBAgQIECAQGEBQaIwuHIECBAgQIAAAQIEMgjUGyTubWK9WsaTTRPNye+PxZdvvBqbe9sMc9EDAQIECBAgQIAAgUkL1Bkktm/EL597Nr70h/fH9TtvRtu28a87P47HX3shPvXcK/F3WWLSh87mCBAgQIAAAQIE6hdo2rZtd3+iv3szXsuv7WYVn/7wj+Lx3/82rl8+/9a2+66/9QB/Q4AAAQIECBAgQIDAqQT6ssLZU60ykQef+dDVeLW92rObO/Hnvx3FNs5HnR+39LTlMgECBAgQIECAAIEJCSR8r/1EfOGJDwgREzpktkKAAAECBAgQIJBPIE+Q2L4Rr1y/Ga9d/WIcfPDd+SalIwIECBAgQIAAAQITEqjyq01v9zuOw5e+FV9//fPx8s+ejot54tHbW3WFAAECBAgQIECAwAQEEgSJ4zhcPR+XvxnxnfXzcfnCOyfAagsECBAgQIAAAQIEcgvU/Wf327tx++Y3/hMibsbVj7w397R0R4AAAQIECBAgQGAiAtUGie3d38W1pz4en/j1xfjBLSFiIufJNggQIECAAAECBGYiUOXPkYh7t+PGZz8XL/71mfjFH78fz1z0daaZnFdtEiBAgAABAgQIFBbo+zkSFX4icT82P78RL966G3H3h/HsY++KXXP/+3uxXMdxROx+QN1B08R//7mw+UOUux+b1ZVomkuxXB/1Pv6h+tgexupgEc3iWqyP+360d+l6DzmDSe69tJV6uydAvWfd/Oqen7N38gLkv8UR4blc93O54vmdPAnr+0udn0jU52zHBAgQIECAAAECBKoUSPSJRJX+Nk2AAAECBAgQIEAglUCFX21K5a8ZAgQIECBAgAABAlUKCBJVjs2mCRAgQIAAAQIECIwrIEiM6686AQIECBAgQIAAgSoFBIkqx2bTBAgQIECAAAECBMYVECTG9VedAAECBAgQIECAQJUCgkSVY7NpAgQIECBAgAABAuMKCBLj+qtOgAABAgQIECBAoEoBQaLKsdk0AQIECBAgQIAAgXEFBIlx/VUnQIAAAQIECBAgUKWAIFHl2GyaAAECBAgQIECAwLgCgsS4/qoTIECAAAECBAgQqFJAkKhybDZNgAABAgQIECBAYFwBQWJcf9UJECBAgAABAgQIVCkgSFQ5NpsmQIAAAQIECBAgMK6AIDGuv+oECBAgQIAAAQIEqhQQJKocm00TIECAAAECBAgQGFdAkBjXX3UCBAgQIECAAAECVQoIElWOzaYJECBAgAABAgQIjCsgSIzrrzoBAgQIECBAgACBKgUEiSrHZtMECBAgQIAAAQIExhUQJMb1V50AAQIECBAgQIBAlQKCRJVjs2kCBAgQIECAAAEC4woIEuP6q06AAAECBAgQIECgSgFBosqx2TQBAgQIECBAgACBcQUEiXH9VSdAgAABAgQIECBQpYAgUeXYbJoAAQIECBAgQIDAuAKCxLj+qhMgQIAAAQIECBCoUkCQqHJsNk2AAAECBAgQIEBgXAFBYlT/+7FZXYmmuRTL9VHvTrabVRw0TSyW6zjue9T2MFYHi2gW12J9vO15VOl6EfXuvbSVertD67zsEKb4XM5+Pp29kxcNZy8isp91/U32tabnndvULzdt27ZN00TbtlPfq/0RIECAAAECBAgQIFBYoC8r+ESi8CCUI0CAAAECBAgQIJBBQJDIMEU9ECBAgAABAgQIECgsIEgUBleOAAECBAgQIECAQAYBQSLDFPVAgAABAgQIECBAoLCAIFEYXDkCBAgQIECAAAECGQQEiQxT1AMBAgQIECBAgACBwgKCRGFw5QgQIECAAAECBAhkEBAkMkxRDwQIECBAgAABAgQKCwgShcGVI0CAAAECBAgQIJBBQJDIMEU9ECBAgAABAgQIECgsIEgUBleOAAECBAgQIECAQAYBQSLDFPVAgAABAgQIECBAoLCAIFEYXDkCBAgQIECAAAECGQQEiQxT1AMBAgQIECBAgACBwgKCRGFw5QgQIECAAAECBAhkEBAkMkxRDwQIECBAgAABAgQKCwgShcGVI0CAAAECBAgQIJBBQJDIMEU9ECBAgAABAgQIECgsIEgUBleOAAECBAgQIECAQAYBQSLDFPVAgAABAgQIECBAoLCAIFEYXDkCBAgQIECAAAECGQQEiQxT1AMBAgQIECBAgACBwgKCRGFw5QgQIECAAAECBAhkEBAkMkxRDwQIECBAgAABAgQKCwgShcGVI0CAAAECBAgQIJBBQJDIMEU9ECBAgAABAgQIECgsIEgUBleOAAECBAgQIECAQAYBQSLDFPVAgAABAgQIECBAoLCAIFEYXDkCBAgQIECAAAECGQQEiQxT1AMBAgQIECBAgACBwgJNRLSFaypHgAABAgQIECBAgEBlAm37/7Hh7IMXKuvHdgkQIECAAAECBAgQGEHAV5tGQFeSAAECBAgQIECAQO0CgkTtE7R/AgQIECBAgAABAiMICBIjoCtJgAABAgQIECBAoHYBQaL2Cdo/AQIECBAgQIAAgREEBIkR0JUkQIAAAQIECBAgULuAIFH7BO2fAAECBAgQIECAwAgCgsQI6EoSIECAAAECBAgQqF1AkKh9gvZPgAABAgQIECBAYASBfwOatqowBh/7kAAAAABJRU5ErkJggg=="></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>states <em>f</em><sub>o</sub> +&nbsp;<em>f</em><sub>e</sub> =&nbsp;90 <em><strong>AND</strong> </em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{f_{\text{o}}}}}{{{f_{\text{e}}}}} = 17">
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>f</mi>
          <mrow>
            <mtext>o</mtext>
          </mrow>
        </msub>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <msub>
          <mi>f</mi>
          <mrow>
            <mtext>e</mtext>
          </mrow>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mn>17</mn>
</math></span></p>
<p>solves to give <em>f</em><sub>o</sub>&nbsp;= 85 <em><strong>AND</strong> f</em><sub>e</sub>&nbsp;= 5 «cm»</p>
<p>&nbsp;</p>
<p><em>Both needed.</em></p>
<p><em>Both needed.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>angle subtended by Moon is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{0.16}}{{17}} = 0.0094">
  <mfrac>
    <mrow>
      <mn>0.16</mn>
    </mrow>
    <mrow>
      <mn>17</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mn>0.0094</mn>
</math></span>&nbsp;«rad»</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="0.0094 = \frac{D}{{3.8 \times {{10}^8}}}">
  <mn>0.0094</mn>
  <mo>=</mo>
  <mfrac>
    <mi>D</mi>
    <mrow>
      <mn>3.8</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>8</mn>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
</math></span></p>
<p><em>D</em> = 3.6 x 10<sup>6&nbsp;</sup>«m»</p>
<p>&nbsp;</p>
<p><em>Allow ECF from MP1.</em></p>
<p><em>Allow <strong>[2]</strong> for an answer of 6.1 x 10<sup>7</sup>&nbsp;«m» if the factor of&nbsp;17 is missing in MP1.</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>operation day and night</p>
<p>operation at all wavelengths/no atmospheric absorption</p>
<p>operation without atmospheric turbulence/light pollution</p>
<p>&nbsp;</p>
<p><em>Accept any other sensible advantages.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A beam of monochromatic light from infinity is incident on a converging lens A. The diagram shows three wavefronts of the light and the focal point <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math> of the lens.</p>
<p style="text-align: center;"><img 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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw on the diagram the three wavefronts after they have passed through the lens.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Lens A has a focal length of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>.</mo><mn>00</mn><mo> </mo><mi>cm</mi></math>. An object is placed <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>.</mo><mn>50</mn><mo> </mo><mi>cm</mi></math> to the left of A. Show by calculation that a screen should be placed about <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>4</mn><mo> </mo><mi mathvariant="normal">m</mi></math> from A to display a focused image.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The screen is removed and the image is used as the object for a second diverging lens B, to form a final image. Lens B has a focal length of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>.</mo><mn>00</mn><mo> </mo><mi>cm</mi></math> and the final real image is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn><mo>.</mo><mn>00</mn><mo> </mo><mi>cm</mi></math> from the lens. Calculate the distance between lens A and lens B.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the total magnification of the object by the lens combination.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span class="fontstyle0">wavefront separation identical and equal to separation before the lens </span><span class="fontstyle2">✓<br></span></p>
<p><span class="fontstyle0">wavefronts converging, approximately centered on </span><span class="fontstyle3"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math> </span><span class="fontstyle2">✓</span></p>
<p><img src="data:image/png;base64,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"></p>
<p>&nbsp;</p>
<p><em><span class="fontstyle0">By eye.</span></em></p>
<p><em><span class="fontstyle0">Dotted construction lines are not required, allow wavefronts to extend beyond or be inside the dotted lines here.</span></em></p>
<p><em><span class="fontstyle0">Allow </span><strong><span class="fontstyle2">[1 max] </span></strong><span class="fontstyle0">if only two wavefronts drawn.</span></em>&nbsp;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="fontstyle0"><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mi>v</mi></mfrac><mo>=</mo><mfrac><mn>1</mn><mrow><mn>4</mn><mo>.</mo><mn>00</mn></mrow></mfrac><mo>-</mo><mfrac><mn>1</mn><mrow><mn>4</mn><mo>.</mo><mn>50</mn></mrow></mfrac></math>&nbsp;✓</span></p>
<p><span class="fontstyle0"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mo>=</mo><mn>36</mn><mo>.</mo><mn>0</mn><mo>&nbsp;</mo><mo>«</mo><mi>cm</mi><mo>»</mo></math>&nbsp;✓</span></p>
<p>&nbsp;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="fontstyle0"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">A</mi><mo>:</mo><mo> </mo><mfrac><mn>1</mn><mrow><mo>-</mo><mn>2</mn><mo>.</mo><mn>0</mn></mrow></mfrac><mo>=</mo><mfrac><mn>1</mn><mn>8</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mi>u</mi></mfrac></math>&nbsp;✓</span></p>
<p><span class="fontstyle0"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u</mi><mo>=</mo><mo>-</mo><mn>1</mn><mo>.</mo><mn>6</mn><mo>&nbsp;</mo><mo>«</mo><mi>cm</mi><mo>»</mo><mo>&nbsp;</mo></math>&nbsp;✓</span></p>
<p><span class="fontstyle0">distance necessary =</span><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&nbsp;</mo><mo>«</mo><mn>36</mn><mo>.</mo><mn>0</mn><mo>-</mo><mn>1</mn><mo>.</mo><mn>6</mn><mo>=</mo><mo>»</mo><mn>34</mn><mo>.</mo><mn>4</mn><mo>&nbsp;</mo><mo>«</mo><mi>cm</mi><mo>»</mo></math> <span class="fontstyle4">✓</span></p>
<p>&nbsp;</p>
<p><em><span class="fontstyle0">Allow </span><strong><span class="fontstyle2">[2 max] </span></strong><span class="fontstyle0">for ECF for no negative in MP1. Gives <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u</mi><mo>=</mo><mn mathvariant="italic">2</mn><mo mathvariant="italic">.</mo><mn mathvariant="italic">7</mn></math> and distance of&nbsp;</span><math xmlns="http://www.w3.org/1998/Math/MathML"><mn mathvariant="italic">38</mn><mo mathvariant="italic">.</mo><mn mathvariant="italic">7</mn><mo>«</mo><mi>cm</mi><mo>»</mo></math></em></p>
<p><em><span class="fontstyle0">Allow ECF from (b) in MP3.EG use of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn mathvariant="italic">0</mn><mo mathvariant="italic">.</mo><mn mathvariant="italic">4</mn><mo mathvariant="italic"> </mo><mi>m</mi><mo mathvariant="italic">/</mo><mn mathvariant="italic">40</mn><mo mathvariant="italic"> </mo><mi>c</mi><mi>m</mi></math>.</span></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mo>-</mo><mfrac><mi>i</mi><mi>o</mi></mfrac><mo>=</mo><mfrac><mrow><mo>-</mo><mn>36</mn></mrow><mrow><mn>4</mn><mo>.</mo><mn>5</mn></mrow></mfrac><mo>&nbsp;</mo></math>&nbsp;for A or&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>-</mo><mn>8</mn></mrow><mrow><mo>-</mo><mn>1</mn><mo>.</mo><mn>6</mn></mrow></mfrac></math>&nbsp;for B»</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>m</mi><mi mathvariant="normal">A</mi></msub><mo>=</mo><mo>«</mo><mo>–</mo><mo>»</mo><mn>8</mn></math>&nbsp;&nbsp;<em><strong>OR</strong></em>&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>m</mi><mi mathvariant="normal">B</mi></msub><mo>=</mo><mo>«</mo><mo>+</mo><mo>»</mo><mn>5</mn></math>&nbsp;✓</p>
<p>total magnification&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>=</mo><mo>«</mo><mo>–</mo><mo>»</mo><mo>&nbsp;</mo><mn>40</mn></math>&nbsp;✓</p>
<p>&nbsp;</p>
<p><em><span class="fontstyle0">Allow </span><strong><span class="fontstyle2">[2] </span></strong><span class="fontstyle0">marks for a bald correct answer<br></span></em></p>
<p><em><span class="fontstyle0">Allow ECF from (b) and (c).<br></span></em></p>
<p><em><span class="fontstyle0">Eg if </span><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u</mi><mo>=</mo><mn mathvariant="italic">2</mn><mo mathvariant="italic">.</mo><mn mathvariant="italic">7</mn><mo mathvariant="italic"> </mo><mi>c</mi><mi>m</mi></math> <span class="fontstyle0">in (c) then </span><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>m</mi><mi mathvariant="italic">B</mi></msub><mo mathvariant="italic">=</mo><mn mathvariant="italic">3</mn></math><span class="fontstyle0"> and total <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo mathvariant="italic">=</mo><mn mathvariant="italic">24</mn></math></span></em></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>The graphs show the variation with time of the intensity of a signal that is being&nbsp;transmitted through an optic fibre. Graph 1 shows the input signal to the fibre and&nbsp;Graph 2 shows the output signal from the fibre. The scales of both graphs are&nbsp;identical.</p>
<p><img 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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows a ray of light in air that enters the core of an optic fibre.</p>
<p><img src="data:image/png;base64,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"></p>
<p>The ray makes an angle <em>A</em> with the normal at the air–core boundary. The refractive&nbsp;index of the core is 1.52 and that of the cladding is 1.48.</p>
<p>Determine the largest angle <em>A</em> for which the light ray will stay within the core of&nbsp;the fibre.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify the features of the output signal that indicate the presence of attenuation&nbsp;and dispersion.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The length of the optic fibre is 5.1 km. The input power of the signal is 320 mW.&nbsp;The output power is 77 mW. Calculate the attenuation per unit length of the fibre&nbsp;in dB<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,">
  <mspace width="thinmathspace"></mspace>
</math></span>km<sup>–1</sup>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>calculation of critical angle at core–cladding boundary «<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1.52 \times \sin {\theta _{\text{C}}} = 1.48">
  <mn>1.52</mn>
  <mo>×</mo>
  <mi>sin</mi>
  <mo>⁡</mo>
  <mrow>
    <msub>
      <mi>θ</mi>
      <mrow>
        <mtext>C</mtext>
      </mrow>
    </msub>
  </mrow>
  <mo>=</mo>
  <mn>1.48</mn>
</math></span>» <em>θ</em><sub>C </sub>= 76.8<sup>º</sup></p>
<p>refraction angle at air–core boundary 90<sup>º&nbsp;</sup>–&nbsp;76.8<sup>º</sup> = 13.2<sup>º</sup></p>
<p>«<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="1.52 \times \sin 13.2^\circ &nbsp;= \;\sin A">
  <mn>1.52</mn>
  <mo>×</mo>
  <mi>sin</mi>
  <mo>⁡</mo>
  <msup>
    <mn>13.2</mn>
    <mo>∘</mo>
  </msup>
  <mo>=</mo>
  <mspace width="thickmathspace"></mspace>
  <mi>sin</mi>
  <mo>⁡</mo>
  <mi>A</mi>
</math></span>» <em>A</em>&nbsp;= 20.3<sup>º</sup></p>
<p>&nbsp;</p>
<p><em>Allow ECF from MP1 to MP2 to MP3.</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>attenuation:</em> output signal has smaller area</p>
<p><em>dispersion:</em> output signal is wider than input signal</p>
<p>&nbsp;</p>
<p><em>OWTTE</em></p>
<p><em>OWTTE</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>attenuation = «<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="10\log \frac{I}{{{I_0}}} = 10\log \frac{{77}}{{320}} = ">
  <mn>10</mn>
  <mi>log</mi>
  <mo>⁡</mo>
  <mfrac>
    <mi>I</mi>
    <mrow>
      <mrow>
        <msub>
          <mi>I</mi>
          <mn>0</mn>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mn>10</mn>
  <mi>log</mi>
  <mo>⁡</mo>
  <mfrac>
    <mrow>
      <mn>77</mn>
    </mrow>
    <mrow>
      <mn>320</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
</math></span>»&nbsp;«–» 6.2 «dB»</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{ - 6.2}}{{5.1}}">
  <mfrac>
    <mrow>
      <mo>−</mo>
      <mn>6.2</mn>
    </mrow>
    <mrow>
      <mn>5.1</mn>
    </mrow>
  </mfrac>
</math></span> =&nbsp;«–» 1.2 «dB<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\,">
  <mspace width="thinmathspace"></mspace>
</math></span>km<sup>–1</sup>»</p>
<p>&nbsp;</p>
<p><em>Allow intensity ratio to be inverted.</em></p>
<p><em>Allow ECF from MP1 to MP2.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A magnifying glass is constructed from a thin converging lens.</p>
</div>

<div class="specification">
<p>A converging lens can also be used to produce an image of a distant object. The base&nbsp;of the object is positioned on the principal axis of the lens at a distance of 10.0 m from&nbsp;the centre of the lens. The lens has a focal length of 2.0 m.</p>
</div>

<div class="specification">
<p>The object is replaced with an L shape that is positioned 0.30 m vertically above&nbsp;the principal axis as shown. A screen is used to form a focused image of part of&nbsp;the L shape. Two points P and Q on the base of the L shape and R on its top,&nbsp;are indicated on the diagram. Point Q is 10.0 m away from the same lens as used in part (b).</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAxQAAAFMCAYAAABSwfoiAAAgAElEQVR4Ae3d/49X1Z0/8OPGX5n5A4SJJv4iO6RNmqy0sLpuVjdi2jSFRuCDtdIUMayI0UpCraZ+WBO0jVRrRJui7rJCUzBNDZiPfpLGBlxo4kY/EP3FRAP4B8z4B8wnrwt38p437xnezL3vO+/3PY+bTOc998s59zzOFO9zzrn3XjczMzOTLAQIECBAgAABAgQIEFiEwN8t4hiHECBAgAABAgQIECBAoBAQKPwiECBAgAABAgQIECCwaIHrO4+8+cabOn/0mQABAgQIECBAgAABAlcIfP7lF7Prruu+hyJCRecOs3v6QIAAAQIECBAgQIBA1gK9soIpT1n/Smg8AQIECBAgQIAAgWoCAkU1P0cTIECAAAECBAgQyFpAoMi6+zWeAAECBAgQIECAQDUBgaKan6MJECBAgAABAgQIZC0gUGTd/RpPgAABAgQIECBAoJqAQFHNz9EECBAgQIAAAQIEshYQKLLufo0nQIAAAQIECBAgUE1AoKjm52gCBAgQIECAAAECWQsIFFl3v8YTIECAAAECBAgQqCYgUFTzczQBAgQIECBAgACBrAUEiqy7X+MJECBAgAABAgQIVBMQKKr5OZoAAQIECBAgQIBA1gICRdbdr/EECBAgQIAAAQIEqgkIFNX8HE2AAAECBAgQIEAgawGBIuvu13gCBAgQIECAAAEC1QQEimp+jiZAgAABAgQIECCQtYBAkXX3azwBAgQIECBAgACBagICRTU/RxMgQIAAAQIECBDIWkCgyLr7NZ4AAQIECBAgQIBANQGBopqfowkQIECAAAECBAhkLSBQZN39Gk+AAAECBAgQIECgmoBAUc3P0QQIECBAgAABAgSyFhAosu5+jSdAgAABAgQIECBQTUCgqObnaAIECBAgQIAAAQJZCwgUWXe/xhMgQIAAAQIECBCoJiBQVPNzNAECBAgQIECAAIGsBQSKrLtf4wkQIECAAAECBAhUExAoqvk5mgABAgQIECBAgEDWAgJF1t2v8QQIECBAgAABAgSqCQgU1fwcTYAAAQIECBAgQCBrAYEi6+7XeAIECBAgQIAAAQLVBASKan6OJkCAAAECBAgQIJC1gECRdfdrPAECBAgQIECAAIFqAtdXOzzvo48dPZqO/fHogggP/GRruvOuuxbcx0YCBAgQIECAAAECoypghKJCz3118WL625kzKb53LuX62PbQtgdTBA8LAQIECBAgQIAAgTYKGKGooVfX/3BD2rlr15ySLl68mF58YX96+9ix4vv6DRvmbPcDAQIECBAgQIAAgTYIGKEYUC8uX748Pfn0U2nZsmXpq6++Sp99+umAalIsAQIECBAgQIAAgaUTECgGbP/1118XoeKG5csHXJPiCRAgQIAAAQIECDQvYMrTAMxjNKKc8hTFx03ZY2NjA6hJkQQIECBAgAABAgSWVkCgqMH/xf2/SfHVa7nhhhtSPOnJQoAAAQIECBAgQKCNAgJFDb0aoaGc0hRPeIp7JmL5+VO/SA9sFSZqIFYEAQIECBAgQIDAkAq4h6KGjomnPL31hyPF1wenTqYfrF9flBpPeYqpTxYCBAgQIECAAAECbRUQKAbQs8/9+lfpH269NcUN2Q/9dFuanp4eQC2KJECAAAECBAgQILD0AgLFgPogQkU8Mvazzz5Lbxw8OKBaFEuAAIHRF7j5xpvS3meeGf2GaAEBAgQyFRAoBtTx8R6KnY9eetld3LDtPRQDglYsAQIjLXDm9Oni/N84+LopoiPdk06eAIGcBQSKAfZ+3JAdU59ieeKxxwdYk6IJECAwmgK/eWF/ceJx71ncd2YhQIAAgdET8JSnCn126+rVaeeulOL7fMsvnn4qvf/ee8XmuEE7Ri4sBAgQIJBSjE6Uo7cxovtPa/+xGNn176TfDgIECIyWwHUzMzMznaccc1k///KLzlU+EyBAgACB2gU237sxrf726uI9PvHfnXIkN+5BsxAgQIDAcAr0ygqmPNXcV4EcXxYCBAgQmF+gHJ34cce7emKU4u1jx9xLMT+bLQQIEBhKAYFiKLvFSREgQKDdAnHvxAM/2ZrGxsZmGxpTndxLMcvhAwECBEZGQKAYma5yogQIEGiHQK/RibJlRilKCd8JECAwOgICxej0lTMlQIBAKwRe//3BK0YnyoYZpSglfCdAgMDoCHjK0+j0lTMlQIBAKwTu/Ne70p133TVvW2KUonw/xbw72UCAAAECQyMgUAxNVzgRAgQI5CGwfsOGBRsaoxTLr7LPggXYSIAAAQKNCpjy1Ci3yggQIECAAAECBAi0S0CgaFd/ag0BAgQIECBAgACBRgUEika5VUaAAAECBAgQIECgXQICRbv6U2sIECBAgAABAgQINCogUDTKrTICBAgQIECAAAEC7RIQKNrVn1pDgAABAgQIECBAoFEBgaJRbpURIECAAAECBAgQaJeAQNGu/tQaAgQIECBAgAABAo0KCBSNcquMAAECBAgQIECAQLsEBIp29afWECBAgAABAgQIEGhUQKBolFtlBAgQIECAAAECBNolIFC0qz+1hgABAgQIECBAgECjAgJFo9wqI0CAAAECBAgQINAuAYGiXf2pNQQIECBAgAABAgQaFRAoGuVWGQECBAgQIECAAIF2CQgU7epPrSFAgAABAgQIECDQqIBA0Si3yggQIECAAAECBAi0S0CgaFd/ag0BAgQIECBAgACBRgUEika5VUaAAAECBAgQIECgXQICRbv6U2sIECBAgAABAgQINCogUDTKrTICBAgQIECAAAEC7RIQKNrVn1pDgAABAgQIECBAoFEBgaJRbpURIECAAAECBAgQaJeAQNGu/tQaAgQIECBAgAABAo0KCBSNcquMAAECBAgQIECAQLsEBIp29afWECBAgAABAgQIEGhUQKBolFtlBAgQIECAAAECBNolIFC0qz+1hgABAgQIECBAgECjAgJFo9wqI0CAAAECBAgQINAuAYGiXf2pNQQIECBAgAABAgQaFRAoGuVWGQECBAgQIECAAIF2CQgU7epPrSFAgAABAgQIECDQqIBA0Si3yggQIECAAAECBAi0S0CgaFd/ag0BAgQIECBAgACBRgUEika5VUaAAAECBAgQIECgXQICRbv6U2sIECBAgAABAgQINCogUDTKrTICBAgQIECAAAEC7RIQKNrVn1pDgAABAgQIECBAoFEBgaJRbpURIECAAAECBAgQaJeAQNGu/tQaAgQIECBAgAABAo0KCBSNcquMAAECBAgQIECAQLsEBIp29afWECBAgAABAgQIEGhUQKBolFtlBAgQIECAAAECBNolIFC0qz+1hgABAgQIECBAgECjAgJFo9wqI0CAAAECBAgQINAuAYGiXf2pNQQIECBAgAABAgQaFRAoGuVWGQECBAgQIECAAIF2CQgU7epPrSFAgAABAgQIECDQqIBA0Si3yggQIECAAAECBAi0S0CgaFd/ag0BAgQIECBAgACBRgUEika5VUaAAAECBAgQIECgXQICRbv6U2sIECBAgAABAgQINCogUDTKrTICBAgQIECAAAEC7RIQKNrVn1pDgAABAgQIECBAoFEBgaJRbpURIECAAAECBAgQaJfA9e1qTn6tOXP69Gyjb129evazDwQIECBAgAABAgSaEBAomlCuuY7p6em095fPpPffey99/fXXc0r/wfr16cmnn0pjY2Nz1vuBAAECBAgQIECAwCAETHkahOoAy7x48WL67t3r0tvHjhW1RIDYueuRdMsttxQ/x/rb16xNn3366QDPQtEECBAgQIAAAQIELgkYoVjgN2HzvRvn3bp8+fL0wE+2pltWrpx3n0FseOKxx9NXX31VBIj/+sOR2ZGInbt2pRi5+F/3bkyfffZZ2v7TbemDUycHcQrKJECAAAECBAgQIDArIFDMUlz54W9nzly58vKa2BajAa+89mq686675t2vzg1xv0TUu2zZstQZJso6YprTc7/+VYogFKHj2NGjaf2GDeVm3wkQIECAAAECBAjULmDKUx+kn3/5Rer8+p//90n6lzvvLI6MEYOmlmN/PFpUtf6HG2ZHJrrrjhGTnY/uKla//3/e697sZwIECBAgQIAAAQK1CggUi+CMkYADv3utODJuim7qfoW4fyKWq42IrLw8DavzCVCLaKZDCBAgQIAAAQIECFxVQKC4KtH8O8TUo1ji3oVhWsrHx3Y/AWqYztG5ECBAgAABAgQItENAoFhkP8b9CeUF+w3Lly+ylMEc1tSIyWDOXqkECBAgQIAAAQKjJOCm7D5668X9++fsdfq/L90cHSt/vPWBFE98amIp3y3x6aefpnIUole95dSof7j11l6brSNAgAABAgQIECBQm4BA0Qfli/t/03OvCBPxuNamljv/9a70f99/P8XN1g9s3TpbbQSIuF8i7q2I0PH67w8W21Z/25uzZ5F8IECAAAECBAgQGIiAQNEH638dOTxnr7hob/r9E3ECERj2LnumeHRsjJqUYSbemP3vz/zvYlvsE4+WveGGG9KPO0LHnAb4gQABAgQIECBAgEBNAgJFH5ALTS/q4/DadokgE++ZeGjbgylGTWLqVbxcL6ZcxZuy44V25Ru0n3z6qXkfLVvbCSmIAAECBAgQIEAgewGBYsR+BWIEIkZM4v0XMRIRX72W2B5hI0Ypynsveu1nHQECBAgQIECAAIEqAgJFFb0lOjZGTD44dTLFVKfOJzrFNKwIHHE/xd5fPlOMYpj2tESdpFoCBAgQIECAQCYCAsWAOvrmG28aUMm9i403eZdLBI533j1RhA2jE6WK7wQIECBAgAABAoMQECgWUN2565EFtg7/pqW4cXz4VZwhAQIECBAgQIBAnQICxQKa5VOUFtjlik2dIwVXbFxgRbxt+/Y1a4spS3Hj9bUsTY+GXMu52ZcAAQIECBAgQKDdAt6UPST9+8bBg8Wbt+MpTeWL6Ybk1JwGAQIECBAgQIAAgXkFBIp5aZrbEKMT5cvofrB+fXrxhblv5m7uTNREgAABAgQIECBA4NoEBIpr8xrI3jE6Ud7vsPPRXcW7JK5llGKx06wG0hiFEiBAgAABAgQIZCUgUCxxd5ejE488uqs4k3hJnVGKJe4U1RMgQIAAAQIECPQtIFD0TTWYHcvRic63cS9mlGIwZ6dUAgQIECBAgAABAgsLCBQL+wx867E/Hk3l6ERZWTlK8fbRo+WqBb97ytOCPDYSIECAAAECBAgMUMBjYweI20/R8cbrXsu1Pjq2VxnWESBAgAABAgQIEBi0gBGKQQsrnwABAgQIECBAgECLBQSKFneuphEgQIAAAQIECBAYtIBAMWhh5RMgQIAAAQIECBBoscBIBop3j59I3//u91LcjBxfd9x2e3r1lQNX7aZzZ8+m+7dsmT0uPse67uXJPXtm94nyH96xI104f757Nz8TIECAAAECBAgQyF5g5ALF1NRUigv+8fGx9NEnH6d4qdvGTZvS8/v2pSNvHZ63QyMQ3L/lvmJ7HBNfY+PjxbrOsBDlRGDZ++yzxT5/+esH6cL5C+lHl4+dt4Il3ODFdkuIr2oCBAgQIECAQOYCIxco4mI/QkVc8I+Pjxfd9+BD29OKiYl07tyVow1l/x45fClsvHnoULkqPbF7d1FWuS02nDh+It19z7q0cfOmYr8oNwJLhI7O4DFbiA8ECBAgQIAAAQIEMhYYuUARoSGCRFzody5r1q4pRhY613V+/tnu3cWIRue67s9laFix4sqyY98IG51LTJeKKVEx3apzKlU5RSq+l9OyYnsEIQsBAgQIECBAgACBNgmMXqA4e+6KMBEdEiEjLtj7vWiP/S5NnRovRiCijHNnzxV9O9EVVmJqVCzT070DwWsHDqSNmzYXU6Ri5CRGUeK+jsnJVcW6P73z56LsmE41iCVCi4UAAQIECBAgQIDAUgiMXKC4GlI/05Lihu5vfeOb6dTJU8XUpu7RjvnqOD/PjdkxRSq+YompUhFuYsQkpmLFMrlqVZpcNVnUV6zwPwQIECBAgAABAgRaIpDlm7JjxCCWS099uq/43nlvxbX2bfcUqTi+HNUoy4qfp6cujYCU63wnQIAAAQIECBAgMOoCrRuh6He0ITouRg5iZCFGKvoZ2eieClVH5z/x2ONpenr6iqKOHT2a3n/vvSvWW0GAAAECBAgQIEBgmARGLlDE1KFeF/9xT0RMNYqva1nK/eP4KDuW7qlN05dvph4bu7ay+zmPixcvpjcOHpyzawSMvb98Jo2Njc1Z7wcCBAgQIECAAAECwyYweoFiclVx43V3qIhRhjIQ9EKOpyzFjdLdSxlEYmSj/LpwYe5L7KLsWGJEo+7lkUd3pdd/f3DOKEUEjFtWrky3rl7dV3XeQ9EXk50IECBAgAABAgQGIDBygSKmKMWoQjyhKcJALPHY1ggY8aSl+ZZt2x8q9ul8o3Y8jSm+tm3fPjuyse6edcUL8sqX5EW58Z6KCBNxo3XdS4SGCA/lKEWMTkTAiKBhIUCAAAECBAgQIDDsAiMXKCJMxDslpqamiyc1xSNT47Gtsa580lKgx5OcYlsZOiIMvPTyy+nDUydn3w3x6uXjyqcxxXERLuJJTRFY4vgY1Yi3cr/08m8H1pflKEVUcK2jEwM7KQUTIECAAAECBAgQ6EPgupmZmZnO/eIi2hSaTpFmPm++d2P625kzadmyZenA717re7pTM2enFgIECAxOwH93BmerZAIECNQt0Ovf7JEboagbZVjKK6c4Xcu9E+W5R8daCBAgQIAAAQIECCyFwNCMULgoXoruVycBAgQIEBh+ATMnhr+PnGE+Ar1GKIbmxXb+sVj8L2Kvjl18aY4kQGA+Af9fm0+m2nqu1fwWOprtQjq2ESBQl4ApT3VJKocAAQIECBAgQIBAhgICRYadrskECBAgQIAAAQIE6hIQKOqSXMJyTBdbQnxVEyBAgAABAgQyFxAoMv8F0HwCBAgQIECAAAECVQQEiip6jiVAgAABAgQIECCQuYBA0YJfgHiKh4UAAQIECBAgQIDAUggIFEuhrk4CBEZSwP1KI9ltWZ+039msu1/jCTQmIFA0Rq0iAgQIECBAgAABAu0TECja16daRIDAgAXOnT2b7t+yJcV0w/huITDsAlNTU+nhHTuK39k7brs9xc8WAgQI1CUgUNQlqRwCBLIQuBQm7ksbN21Obx46lM6dPZdFuzVydAUiPNy/5b40MTGRYgrU9NSU39vR7U5nTmAoBa4fyrNyUgQIEBhSgYd3/Fvatn17uvuedcUZfvTJx0N6pk6LwCWBJ/fsSePjY+lnu3cXK/zO+s0gQKBuASMUdYsuQXluulsCdFVmKfDqKweKv+5u3Lwpy/Zr9OgJxIjau8dPFCNqo3f2zpgAgVEREChGpaecJwECSyoQ00aOHD6cJldNpvHx8SU9F5UT6Ffg+X37it/XckSt3+PsR4AAgWsRECiuRcu+BAhkKRAjE9/6xjfThfPn06mTp9yIneVvwWg1On5P46EB8T3CcPz+WggQIDAoAYFiULINluvFdg1iqypLgQcf2l7cgB2Njxux48tCYJgF1qxdU9yAHaNpce+E+yaGubecG4HRFxAoRr8PtYAAgQYEYi56XJzFhZqFwCgIlKMTk6tWjcLpOkcCBEZYQKAY4c5z6gQINCfw4amTxf0TzdWoJgLVBITgan6OJkCgfwGBon8rexIgkLFAvG/iO2vWZiyg6aMmIASPWo85XwKjKyBQjG7fOXMCBBoSMHWkIWjV1CogBNfKqTACBBYQECgWwBmVTd5DMSo95TxHVcDUkVHtuXzPWwjOt++1nMBSCAgUS6GuTgIERkogpo58x83YI9VnuZ9shOAVExMeIpD7L4L2E2hIQKBoCFo1BAiMrkBMHdm4afPoNsCZZycQIXjjJm90z67jNZjAEgkIFEsEr1oCBEZD4N3jJ/yldzS6ylleFogX2RUheLNA4ZeCAIFmBASKZpwHWosX2w2UV+EZCjy/b196cs+eFNNGntu3L7308m8zVNDkURKI4HvHbbcXb8XeuWNH8TK7eG+KhQABAk0IXN9EJeogQIDAKAmsWDGRXn0lAsW5IkzEXHQLgWEWmFw1maanptI/33Z7ESY2Gp0Y5u5ybgRaJyBQtK5LNYgAgaoCcTHmgqyqouObFIjQ+9EnHzdZpboIECAwK2DK0yyFDwQIECBAgAABAgQIXKuAQHGtYvYnQIAAAQIECBAgQGBWQKCYpRjdD15sN7p958wJECBAgAABAqMuIFCMeg86fwIECBAgQIAAAQJLKCBQLCH+oKs+dvRoun3N2nTm9OlBV6V8AgQILCiw95ln0uZ7N/r3aEElGwkQIDCaAgLFaPbbnLPufg9FGSRefGF/2vnornTr6tVz9vcDAQIEmhbYuWtXWv3t1Wn7T7cJFk3jq48AAQIDFvDY2AEDN1l8BIkIEbFEkFi/YUOT1auLAAEC8wqMjY2lCBU/3ro1vXHwYBEsblm5Mj3y6K55j7GBAAECBEZD4LqZmZmZzlONv3a7ybdTZPg/d49QDP8ZO0MCBAjMFfDfnbkefiJAgMCwCvTKCkYohrW3rvG8fv7UL4rRifIvfqY5XSOg3QkQaExgenq6GKV4/fcHU/yb9bczZxqrW0UECBAgUL+AeyjqN12SEh/YujV9cOrk7BzlmKd88eLFJTkXlRIgQKCXQASJF/fvLx4Wcfq/T6cDv3stvfWHI712tY4AAQIERkhAoBihzrraqZZzlCNYrPz7lemf1v5jeuKxx692mO0ECBAYuED5sIjOIGEkdeDsKiBAgEAjAqY8NcI82Eq65x6XweIHGzakt48eHWzlSidAgEAfAvHvUoxICBF9YNmFAAECIybgpuwR6zCnS4AAgbYJ9LrBr21t1B4CBAi0RaDXv9mmPLWld7WDAAECBAgQIECAwBIICBRLgF53lR4bW7foaJd36uSpFL8T586evaIhT+7ZU2yL7fH18I4d6cL581fs171iscd1l+NnAgQIECBAoH0CAkX7+lSLMhaIELFzx46eAs/v25fePX4i7X322eJdM3/56wfpwvkL6Udb7uu5f7lysceVx/tOgAABAgQItFtAoGh3/2pdRgJx4R9f27Zv79nqE8dPpLvvWZc2bt5UbF8xMZE2btpUjFAsNEqx2ON6noSVBAgQIECAQOsEBIoWdGn3U55a0CRNuEaBV185kGKq04svv9zzyAgM8bVixcSc7WvWril+jtDQa1nMcd/6xjdTTJGK6VTl1Kr7t2wp6o/zLNd9/7vf6zktq9d5WEeAAAECBAgMr4BAMbx948wI9C0QweBP7/w5jY+P9zzm3NlzxfqJibmBYuzy/tPTU7Ued+Stw2lyctXs1Kqo/47bbk8fnjpZrPvok4+L+h7e8W8967WSAAECBAgQGB0BgWJ0+sqZEphXYHLVqnm39bPhfB83ZvcqZ77jYjrVgw9dmnoVnydXTRZh581Dh4piIvjcvW7dVadb9arTOgIECBAgQGC4BASK4eoPZ0OgFQIRIDqXciSkc135eWqq9+hIud13AgQIECBAYLgFBIrh7h9nR6ARge6pUP1Wutjj+i3ffgQIECBAgMDwCwgUw99HzpBAZYFyxKB7itL05dGBsbHe914s9rjKJ6wAAgQIECBAYGQEBIqR6SonSmDxAnEfQ3xduDD3JXbxZKhY5rsHY7HHLf5MHUmAAAECBAiMmoBAMWo95nwJLFJg3T3rUjx9Kb5iiUfCHjl8uAgT5eNjexW92ON6lWUdAQIECBAg0D4BgaJ9fapFBHoKxAvv4qV28Y6IeBdEPMZ1fHwsvfTyb2f3jxukY1u8I6Jc+jmu3Nd3AgQIECBAID+B62ZmZmY6mx0XE16U1iniMwECBAgMUsB/dwapq2wCBAjUK9Dr32wjFPUaK40AAQIECBAgQIBAVgICRVbdrbEECBAgQIAAAQIE6hUQKOr1VBoBAgQIECBAgACBrAQEiqy6W2MJECBAgAABAgQI1CsgUNTrqTQCBAgQIECAAAECWQkIFFl1t8YSIECAAAECBAgQqFdAoKjXU2kECBAgQIAAAQIEshIQKLLqbo0lQIAAAQIECBAgUK+AQFGvp9IIECBAgAABAgQIZCUgUGTV3RpLgAABAgQIECBAoF4BgaJeT6URIECAAAECBAgQyEpAoMiquzWWAAECBAgQIECAQL0CAkW9nkojQIAAAQIECBAgkJWAQJFVd2ssAQIECBAgQIAAgXoFBIp6PZVGgAABAgQIECBAICsBgSKr7tZYAgQIECBAgAABAvUKCBT1eiqNAAECBAgQIECAQFYCAkVW3a2xBAgQIECAAAECBOoVECjq9VQaAQIECBAgQIAAgawEBIqsultjCRAgQIAAAQIECNQrIFDU66k0AgQIECBAgAABAlkJCBRZdbfGEiBAgAABAgQIEKhXQKCo11NpBAgQIECAAAECBLISECiy6m6NJUCAAAECBAgQIFCvgEBRr6fSCBAgQIAAAQIECGQlIFBk1d0aS4AAAQIECBAgQKBeAYGiXk+lESBAgAABAgQIEMhKQKDIqrs1lgABAgQIECBAgEC9AgJFvZ5KI0CAAAECBAgQIJCVgECRVXdrLAECBAgQIECAAIF6BQSKej2VRoAAAQIECBAgQCArAYEiq+7WWAIECBAgQIAAAQL1CggU9XoqjQABAgQIECBAgEBWAgJFVt2tsQQIECBAgAABAgTqFRAo6vVUGgECBAgQIECAAIGsBASKrLpbYwkQIECAAAECBAjUKyBQ1OupNAIECBAgQIAAAQJZCQgUWXW3xhIgQIAAAQIECBCoV0CgqNdTaQQIECBAgAABAgSyEhAosupujSVAgAABAgQIECBQr4BAUa+n0ggQIECAAAECBAhkJSBQZNXdGkuAAAECBAgQIECgXgGBol5PpREgQIAAAQIECBDISihQbgAAAAqnSURBVECgyKq7NZYAAQIECBAgQIBAvQICRb2eSiNAgACBqwhMT09fZY+U+tnnqoXYgQCB1gu8e/xEun/Llqu288k9e9Krrxy46n7DssPDO3akb33jm8NyOlc9D4HiqkR2IECAAIE6Bbb/dFs6c/r0vEUeO3o0PfHY4/Nut4EAAQKlwIkTx9O5s+fKH3t+P3f2bDry1uGe26ysR0CgqMdRKQQIECDQp8D6H25Iv3lh/7x7v/jC/vTAT7bOu90GAgQIEBguAYFiuPrD2RAgQKD1Aus3bEhfXbzYc5QiRiduWL483bp6desdNJBArgLP79uXbr7xpmLU4Pvf/V7xOX6OaUmdy9TUVLEutpVfcWy5xLEx5Sn2i+29pjTF9tgvlji2cxpR7B8/l2XHNKML58+Xxff8Xk6xKo+J47vrjTKirHKfqD9GSTqX0qBznyh7oSXqueO222fLjTqi7cOwCBTD0AvOgQABApkJ7Hx0V89RihideOTRXZlpaC6BPAWOHD6c9j777+nzL79Ie599tggYnYHh/i33pVMnT6U/vfPnYp+XXn652Ke8ZyLW333PujQ+Pl5sf/Ch7VdAxvbYL5af7d6dPvrk4+JzhJeoK9ZF/X/56wfpwvkL6Udb7pv3Ir0MOCsmJopj4rht27cX5ZRTqmKfKCOmYUWZsc/4+FiKtpQX/xEEThw/Mbu93CfOqdynuyERJuJ8N27aNOd8o9xhWASKYegF50CAAIHMBHqNUhidyOyXQHOzF4iL48lVqwqHjZs3pbhQjwARS1xAx1/1n9i9e3afCAdxAR/7XO2v+QvhlvdURACJemOJuiPcxOjCawd637z94clTxQX/5OSlc47joowIBGU5ESyijAe3by/KjH22bX+oOK7cFucebY86y2Xjps3FPlFH9xLlRZiI9pehqTzfaEv3CEn38U38fH0TlaiDAAECBAh0C3SPUsToxHO//lX3bn4mQKClApOrJue0LEYayuXcubPFyENcRHcu6+5ZV1xcnzp1srjA7tzW7+cytHxnzdo5h0S4iQv1GD2IkYvu5Ttr1xTb3z1xvLj4n5iYuOIcPjx1sjhszdo1s4fH5wgd5RKfYySiHI2Jz+UIR7lP5/fyfNf0ON8wizrLoNF5XJOfjVA0qa0uAgQIEJgVKEcpYoXRiVkWHwgQSKmYftQLYuxy6JhvalCvY7rXTU9fuu8gpiJ1L3GBPj3PfQmx7T8O/WcxYhKjGOV9EvE9RhFimZq69Fjs8jy7y4+fI0jEvRdliIhyY8rXfEvZ1pgSVd5zUX6PbWWd8x3fxHojFE0oq4MAAQIEegrEKMXux3+WjE705LGSQLYCKyZWzF6kdyKUF/sxOrDYZWzs0khIrwvxuEDvnIrUXUdsi9GL+Ip9I1jElKO4/yLu1ShDSpxnBIXuJUYbYv8YUegcBSnDRff+8XNZTtxD0j1i02v/pVhnhGIp1NVJgAABAoVAjFLE4slOfiEIEOgUiPsU4oK9+16JmI4Uy4oViw8U5XSkcnpSWW/cjxAjDd1Tscrt3d/jQj9CQVzklyMU5TSqcppSHBPbYkQhbiaPOmLpvA+j2OfC/E+XKs83poF1LuETIx3l1KnObU1/FiiaFlcfAQIECMwReOfE8fSLp5+as84PBAjkLRB/wY97Gp7bt2/2IjzCRYwIxAV2eRN0+df7uLguL+q75cp9YqrTpcCwqjg+RgrKkYFY/+SenxejE50jB51lRf0RDDpvgo51cSN1OXJQ3lweT7AqzyfaEEvcnF2GgyOH35otOsory4x2dC8xKhLldu+3c8eOFFOr4kb1pV4EiqXuAfUTIEAgc4FbVq5M8WUhQIBAp8Cbh/6zuAAv31UR9yrEhfWbhw7N7hZPS4qL6uKehMO934bdeUEe73GIi/a4ZyGCQ/x1P0JCrI9pVnGPRBlAZiu5/CFCQxz37olLwSKOi3OKC/ryHog4NsqIssp3RsR0qJiuFGEiQlLsG4+VjePjK0ZKyhBzYZ6RivJ8I6jEMdHeWBY63+7zH+TP183MzMx0VhAn2Xkneuc2nwkQIECAAAECBAgQyFegV1YwQpHv74OWEyBAgAABAgQIEKgsIFBUJlQAAQIECBAgQIAAgXwFBIp8+17LCRAgQIAAAQIECFQWECgqEyqAAAECBAgQIECAQL4CAkW+fa/lBAgQIECAAAECBCoLCBSVCRVAgAABAgQIECBAIF8BgSLfvtdyAgQIECBAgAABApUFBIrKhAogQIAAAQIECBAgkK+AQJFv32s5AQIECBAgQIAAgcoCAkVlQgUQIECAAAECBAgQyFdAoMi377WcAAECBAgQIECAQGUBgaIyoQIIECBAgAABAgQI5CsgUOTb91pOgAABAgQIECBAoLKAQFGZUAEECBAgQIAAAQIE8hUQKPLtey0nQIAAAQIECBAgUFlAoKhMqAACBAgQIECAAAEC+QoIFPn2vZYTIECAAAECBAgQqCwgUFQmVAABAgQIECBAgACBfAUEinz7XssJECBAgAABAgQIVBYQKCoTKoAAAQIECBAgQIBAvgICRb59r+UECBAgQIAAAQIEKgsIFJUJFUCAAAECBAgQIEAgXwGBIt++13ICBAgQIECAAAEClQUEisqECiBAgAABAgQIECCQr4BAkW/fazkBAgQIECBAgACBygICRWVCBRAgQIAAAQIECBDIV0CgyLfvtZwAAQIECBAgQIBAZQGBojKhAggQIECAAAECBAjkKyBQ5Nv3Wk6AAAECBAgQIECgsoBAUZlQAQQIECBAgAABAgTyFRAo8u17LSdAgAABAgQIECBQWUCgqEyoAAIECBAgQIAAAQL5CggU+fa9lhMgQIAAAQIECBCoLCBQVCZUAAECBAgQIECAAIF8BQSKfPteywkQIECAAAECBAhUFhAoKhMqgAABAgQIECBAgEC+AgJFvn2v5QQIECBAgAABAgQqCwgUlQkVQIAAAQIECBAgQCBfAYEi377XcgIECBAgQIAAAQKVBQSKyoQKIECAAAECBAgQIJCvgECRb99rOQECBAgQIECAAIHKAgJFZUIFECBAgAABAgQIEMhXQKDIt++1nAABAgQIECBAgEBlAYGiMqECCBAgQIAAAQIECOQrIFDk2/daToAAAQIECBAgQKCygEBRmVABBAgQIECAAAECBPIVECjy7XstJ0CAAAECBAgQIFBZQKCoTKgAAgQIECBAgAABAvkKCBT59r2WEyBAgAABAgQIEKgsIFBUJlQAAQIECBAgQIAAgXwFBIp8+17LCRAgQIAAAQIECFQWECgqEyqAAAECBAgQIECAQL4CAkW+fa/lBAgQIECAAAECBCoLCBSVCRVAgAABAgQIECBAIF8BgSLfvtdyAgQIECBAgAABApUFBIrKhAogQIAAAQIECBAgkK+AQJFv32s5AQIECBAgQIAAgcoCAkVlQgUQIECAAAECBAgQyFfgupmZmZmy+TffeFP50XcCBAgQIECAAAECBAj0FPj8yy9m188JFLNrfSBAgAABAgQIECBAgEAfAqY89YFkFwIECBAgQIAAAQIEegsIFL1drCVAgAABAgQIECBAoA8BgaIPJLsQIECAAAECBAgQINBbQKDo7WItAQIECBAgQIAAAQJ9CPx/dhV5JTUA2hwAAAAASUVORK5CYII="></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Sketch a ray diagram to show how the magnifying glass produces an upright image.</p>
<p><img src="data:image/png;base64,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"></p>
<p> </p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the maximum possible distance from an object to the lens in order for the lens to produce an upright image.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the position of the image.</p>
<p> </p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>three</strong> characteristics of the image.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram, draw <strong>two</strong> rays to locate the point Q′ on the image that corresponds to point Q on the L shape.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the vertical distance of point Q′ from the principal axis.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A screen is positioned to form a focused image of point Q. State the direction, relative to Q, in which the screen needs to be moved to form a focused imaged of point R.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The screen is now correctly positioned to form a focused image of point R. However, the top of the L shape looks distorted. Identify and explain the reason for this distortion.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.iv.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>with object placed between lens and focus</p>
<p>two rays correctly drawn</p>
<p><img 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"></p>
<p><em>Backwards extrapolation of refracted rays can be dashes or solid lines</em></p>
<p><em>Do not penalize extrapolated rays which would meet beyond the edge of page</em></p>
<p><em>Image need not be shown</em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«just less than» the focal length <em><strong>or</strong> f</em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{{10}} + \frac{1}{v} = \frac{1}{2}">
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>10</mn>
    </mrow>
  </mfrac>
  <mo>+</mo>
  <mfrac>
    <mn>1</mn>
    <mi>v</mi>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mn>1</mn>
    <mn>2</mn>
  </mfrac>
</math></span></p>
<p><em>v</em> = 2.5 «m»</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>real, smaller, inverted</p>
<p><em>All three required — OWTTE</em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>two correct rays coming from Q</p>
<p>locating Q′ below the main axis <em><strong>AND</strong> </em>beyond <em>f</em> to the right of lens <em><strong>AND</strong> </em>at intercept of rays</p>
<p><em>Allow any <strong>two</strong> of the three conventional rays.</em></p>
<p><img 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"></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img src="data:image/png;base64,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"></p>
<p><em><strong>OR</strong></em></p>
<p>2.5 <em><strong>or</strong></em> 10 × 0.3 «m»</p>
<p>«–» 0.075 «m»</p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>towards Q</p>
<p><em>Accept move to the left</em></p>
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>spherical aberration</p>
<p>top of the shape «R» is far from axis so no paraxial rays</p>
<p><em>For MP2 accept rays far from the centre converge at different points</em></p>
<div class="question_part_label">c.iv.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.iv.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline the meaning of normal adjustment for a compound microscope.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Sketch a ray diagram to find the position of the images for both lenses in the compound microscope at normal adjustment. The object is at O and the focal lengths of the objective and eyepiece lenses are shown.</p>
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"></p>
<p> </p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span class="fontstyle0">the final image lies at the near point </span><span class="fontstyle2">«</span><span class="fontstyle0">often assumed to be <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>25</mn><mo> </mo><mi>cm</mi></math></span><span class="fontstyle2">» </span><span class="fontstyle3">✓</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="fontstyle0">any 2 correct rays from O for objective lens </span><span class="fontstyle2">✓</span></p>
<p><span class="fontstyle2"><br></span><span class="fontstyle0">forming an intermediate image at approximate position shown<br></span><span class="fontstyle3"><em><strong>OR</strong></em><br></span><span class="fontstyle0">use of image from objective lens as object for eyepiece lens </span><span class="fontstyle2">✓</span></p>
<p><span class="fontstyle2"><br></span><span class="fontstyle0">any 2 correct rays for eyepiece lens from intermediate image </span><span class="fontstyle2">✓</span></p>
<p><span class="fontstyle0">ray extension to form a final image </span><span class="fontstyle2">✓</span></p>
<p><img 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"></p>
<p> </p>
<p><em><span class="fontstyle0">Allow ECF for MP2, MP3 &amp; MP4 for badly drawn rays.</span></em></p>
<p><em><span class="fontstyle0">MP4 allow final image to be off the page</span></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>An optic fibre of length 185 km has an attenuation of 0.200 dB km<sup>–1</sup>. The input power to&nbsp;the cable is 400.0 μW. The output power from the cable must not fall below 2.0 μW.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An optic fibre of refractive index 1.4475 is surrounded by air. The critical angle for&nbsp;the core – air boundary interface is 44°. Suggest, with a calculation, why the use of&nbsp;cladding with refractive index 1.4444 improves the performance of the optic fibre.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the maximum attenuation allowed for the signal.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An amplifier can increase the power of the signal by 12 dB. Determine the&nbsp;minimum number of amplifiers required.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph shows the variation with wavelength of the refractive index of the glass&nbsp;from which the optic fibre is made.</p>
<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<img src="images/Schermafbeelding_2018-08-13_om_09.07.29.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/10.b.ii"></p>
<p>Two light rays enter the fibre at the same instant along the axes. Ray A has a&nbsp;wavelength of <em>λ</em><sub>A</sub> and ray B has a wavelength of <em>λ</em><sub>B</sub>. Discuss the effect that the&nbsp;difference in wavelength has on the rays as they pass along the fibre.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In many places clad optic fibres are replacing copper cables. State <strong>one </strong>example of&nbsp;how fibre optic technology has impacted society.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>sin&nbsp;<em>c</em> =&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{1.4444}}{{1.4475}}">
  <mfrac>
    <mrow>
      <mn>1.4444</mn>
    </mrow>
    <mrow>
      <mn>1.4475</mn>
    </mrow>
  </mfrac>
</math></span>&nbsp;<strong><em>or</em></strong>&nbsp;sin&nbsp;<em>c</em> =&nbsp;0.9978</p>
<p>critical angle = 86.2<strong>«</strong>°<strong>»</strong></p>
<p>with cladding only rays travelling nearly parallel to fibre axis are transmitted</p>
<p><strong><em>OR</em></strong></p>
<p>pulse broadening/dispersion will be reduced</p>
<p>&nbsp;</p>
<p><em>OWTTE</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>attenuation =&nbsp;<strong>«</strong>10 log<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{I}{{{I_0}}}">
  <mfrac>
    <mi>I</mi>
    <mrow>
      <mrow>
        <msub>
          <mi>I</mi>
          <mn>0</mn>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
</math></span><strong>»</strong>&nbsp;= 10 log<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{2.0 \times {{10}^{ - 6}}}}{{400 \times {{10}^{ - 6}}}}">
  <mfrac>
    <mrow>
      <mn>2.0</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mo>−</mo>
            <mn>6</mn>
          </mrow>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mn>400</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mrow>
            <mo>−</mo>
            <mn>6</mn>
          </mrow>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
</math></span></p>
<p>attenuation =&nbsp;<strong>«</strong>–<strong>»</strong>23<strong> «</strong>dB<strong>»</strong></p>
<p>&nbsp;</p>
<p><em>Accept 10 log</em><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{400}}{{2.0}}">
  <mfrac>
    <mrow>
      <mn>400</mn>
    </mrow>
    <mrow>
      <mn>2.0</mn>
    </mrow>
  </mfrac>
</math></span><em>&nbsp;for first marking point</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>185 ×&nbsp;0.200 = 37 loss over length of cable</p>
<p><strong>«</strong><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{37 - 23}}{{12}}">
  <mfrac>
    <mrow>
      <mn>37</mn>
      <mo>−</mo>
      <mn>23</mn>
    </mrow>
    <mrow>
      <mn>12</mn>
    </mrow>
  </mfrac>
</math></span> = 1.17<strong>»</strong>&nbsp;so two amplifiers are sufficient</p>
<p>&nbsp;</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>mention of material dispersion</p>
<p>mention that rays become separated in time</p>
<p><strong><em>OR</em></strong></p>
<p>mention that ray A travels slower/arrives later than ray B</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>high bandwidth/data transfer rates</p>
<p>low distortion/Low noise/Faithful reproduction</p>
<p>high security</p>
<p>fast <strong>«</strong>fibre<strong>» </strong>broadband/internet</p>
<p>high quality optical audio</p>
<p>medical endoscopy</p>
<p>&nbsp;</p>
<p><em>Allow any other verifiable sensible advantage</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A ray of light travelling in an optic fibre undergoes total internal reflection at point P.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-11_om_06.49.40.png" alt="M18/4/PHYSI/SP3/ENG/TZ1/09"></p>
<p>The refractive index of the core is 1.56 and that of the cladding 1.34.</p>
</div>

<div class="specification">
<p>The input signal in the fibre has a power of 15.0 mW and the attenuation per unit length is 1.24 dB km<sup>–1</sup>.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the critical angle at the core−cladding boundary.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The use of optical fibres has led to a revolution in communications across the globe. Outline <strong>two </strong>advantages of optical fibres over electrical conductors for the purpose of data transfer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw on the axes an output signal to illustrate the effect of waveguide dispersion.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the power of the output signal after the signal has travelled a distance of 3.40 km in the fibre.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain how the use of a graded-index fibre will improve the performance of this fibre optic system.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.iii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><strong>«</strong>sin <em>c</em>&nbsp;=&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{1.34}}{{1.56}}">
  <mfrac>
    <mrow>
      <mn>1.34</mn>
    </mrow>
    <mrow>
      <mn>1.56</mn>
    </mrow>
  </mfrac>
</math></span><strong>»</strong></p>
<p><em>c</em> = 59.2<strong>«</strong>°<strong>»</strong>&nbsp;</p>
<p>&nbsp;</p>
<p><em>Accept values in the range: 59.0 to 59.5.</em></p>
<p><em>Accept answer 1.0 rad.</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>optic fibres are not susceptible to earthing problems</p>
<p>optic fibres are very thin and so do not require the physical space of electrical cables</p>
<p>optic fibres offer greater security as the lines cannot be tapped</p>
<p>optic fibres are not affected by external electric/magnetic fields/interference</p>
<p>optic fibres have lower attenuation than electrical conductors/require less energy</p>
<p>the bandwidth of an optic fibre is large and so it can carry many communications at once/in a shorter time interval/faster data transfer</p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>a signal that is wider and lower, not necessarily rectangular, but not a larger area</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>attenuation = –1.24 ×&nbsp;3.4&nbsp;<strong>«</strong>= –4.216 dB<strong>»</strong></p>
<p>–4.216 = 10 log<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{I}{{15}}">
  <mfrac>
    <mi>I</mi>
    <mrow>
      <mn>15</mn>
    </mrow>
  </mfrac>
</math></span></p>
<p><em>I</em> =&nbsp;5.68 <strong>«</strong>mW<strong>»</strong></p>
<p>&nbsp;</p>
<p><em>Need negative attenuation for MP1, may be shown in MP2.</em></p>
<p><em>For mp3 answer must be less than 15 mW (even with ECF) to earn mark.</em></p>
<p><em>Allow </em><strong><em>[3] </em></strong><em>for BCA.</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>refractive index near the edge of the core is less than at the centre</p>
<p>speed of rays which are reflected from the cladding are greater than the speed of rays which travel along the centre of the core</p>
<p>the time difference for the rays that reflect from the cladding layer compared to those that travel along the centre of the core is less</p>
<p><strong><em>OR</em></strong></p>
<p>the signal will remain more compact/be less spread out/dispersion is lower</p>
<p>bit rate of the system may be greater</p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">c.iii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.iii.</div>
</div>
<br><hr><br><div class="specification">
<p>The refractive index of glass decreases with increasing wavelength. The diagram shows&nbsp;rays of light incident on a converging lens made of glass. The light is a mixture of red and&nbsp;blue light.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAxQAAAGhCAYAAAD4G/J+AAAgAElEQVR4Ae3dD4yU9Z0/8I97ptEe2V3RnqWk3fCDLq3aaw1Ke/iHcAhKTItYwcPak8MrFYMt1J4Cag0nVZvSwqmR1tYNWlpO2khpzlAEuxH/1ILEctZe2dMQr6Fo6gG7t1cbr11+eWZnltlldl2YcWZ5ntcmdmefeZ7v9/t5fabZefM8z+wJhw4dOhS+CBAgQIAAAQIECBAgcAwCdcdwjEMIECBAgAABAgQIECCQExAovBAIECBAgAABAgQIEDhmgROLj2xoaCj+0WMCBAgQIECAAAECBAgcIdDe3t6z7YS+91AkoaJ4h549PSBAgAABAgQIECBAINMCpbKCS54y/ZJQPAECBAgQIECAAIHyBASK8vwcTYAAAQIECBAgQCDTAgJFptuveAIECBAgQIAAAQLlCQgU5fk5mgABAgQIECBAgECmBQSKTLdf8QQIECBAgAABAgTKExAoyvNzNAECBAgQIECAAIFMCwgUmW6/4gkQIECAAAECBAiUJyBQlOfnaAIECBAgQIAAAQKZFhAoMt1+xRMgQIAAAQIECBAoT0CgKM/P0QQIECBAgAABAgQyLSBQZLr9iidAgAABAgQIECBQnoBAUZ6fowkQIECAAAECBAhkWkCgyHT7FU+AAAECBAgQIECgPAGBojw/RxMgQIAAAQIECBDItIBAken2K54AAQIECBAgQIBAeQICRXl+jiZAgAABAgQIECCQaQGBItPtVzwBAgQIECBAgACB8gQEivL8HE2AAAECBAgQIEAg0wICRabbr3gCBAgQIECAAAEC5QkIFOX5OZoAAQIECBAgQIBApgUEiky3X/EECBAgQIAAAQIEyhMQKMrzczQBAgQIECBAgACBTAsIFJluv+IJECBAgAABAgQIlCcgUJTn52gCBAgQIECAAAECmRYQKDLdfsUTIECAAAECBAgQKE9AoCjPz9EECBAgQIAAAQIEMi0gUGS6/YonQIAAAQIECBAgUJ6AQFGen6MJECBAgAABAgQIZFpAoMh0+xVPgAABAgQIECBAoDwBgaI8P0cTIECAAAECBAgQyLSAQJHp9iueAAECBAgQIECAQHkCAkV5fo4mQIAAAQIECBAgkGkBgSLT7Vc8AQIECBAgQIAAgfIEBIry/BxNgAABAgQIECBAINMCAkWm2694AgQIECBAgAABAuUJCBTl+TmaAAECBAgQIECAQKYFBIpMt1/xBAgQIECAAAECBMoTECjK83M0AQIECBAgQIAAgUwLCBSZbr/iCRAgQIAAAQIECJQnIFCU5+doAgQIECBAgAABApkWECgy3X7FEyBAgAABAgQIEChPQKAoz8/RBAgQIECAAAECBDItIFBkuv2KJ0CAAAECBAgQIFCegEBRnp+jCRAgQIAAAQIECGRaQKDIdPsVT4AAAQIECBAgQKA8AYGiPD9HEyBAgAABAgQIEMi0gECR6fYrngABAgQIECBAgEB5AgJFeX6OJkCAAAECBAgQIJBpAYEi0+1XPAECBAgQIECAAIHyBASK8vwcTYAAAQIECBAgQCDTAgJFptuveAIECBAgQIAAAQLlCQgU5fk5mgABAgQIECBAgECmBQSKTLdf8QQIECBAgAABAgTKExAoyvNzNAECBAgQIECAAIFMCwgUmW6/4gkQIECAAAECBAiUJyBQlOfnaAIECBAgQIAAAQKZFhAoMt1+xRMgQIAAAQIECBAoT0CgKM/P0QQIECBAgAABAgQyLSBQZLr9iidAgAABAgQIECBQnoBAUZ6fowkQIECAAAECBAhkWkCgyHT7FU+AAAECBAgQIECgPAGBojw/RxMgQIAAAQIECBDItIBAken2K54AAQIECBAgQIBAeQICRXl+jiZAgAABAgQIECCQaQGBItPtVzwBAgT6F/jlL3/Z/5OeIUCAAAECeQGBwkuBAAECBI4QaGtri4kTJ8YzzzxzxHM2ECBAgACBYgGBoljDYwIECBDICTz44IO579/4xjeIECBAgACBAQUEigF5PEmAAIHsCSRnJ5588slc4R/84AedpcjeS0DFBAgQOCoBgeKouOxMgACB9AskZyduvvnmXKHXXnttOEuR/p6rkAABAuUICBTl6DmWAAECKRMonJ245JJLcpU1NzeHsxQpa7JyCBAgUGEBgaLCoIYjQIDA8SxQODtx8skn95ThLEUPhQcECBAgUEJAoCiBYhMBAgSyKND37ETBwFmKgoTvBAgQIFBKQKAopWIbAQIEMihQ6uxEgcFZioKE7wQIECDQV0Cg6CviZwIECGRQYP/+/blPdircO9GXoHCWwh+76yvjZwIECBA44dChQ4eKGRoaGqK9vb14k8cECBAgkAGBJFQMHz68p9K+vw/efPPN3HPF91f07OwBAQIECGRCoO/vhqToEzNRuSIJECBA4G0FisNEqZ0FiVIqthEgQICAS568BggQIECAAAECBAgQOGYBgeKY6RxIgAABAgQIECBAgIBA4TVAgAABAgQIECBAgMAxCwgUx0znQAIECBAgQIAAAQIEBAqvAQIECBAgQIAAAQIEjllAoDhmOgcSIECAAAECBAgQICBQeA0QIECAAAECBAgQIHDMAgLFMdM5kAABAgQIECBAgAABgcJrgAABAgQIECBAgACBYxYQKI6ZzoEECBAgQIAAAQIECAgUXgMECBAgQIAAAQIECByzgEBxzHQOJECAAAECBAgQIEAgI4GiKzpab4mmhiujpe2PNer6G9G6eHw0TGuJtq7SS+hqa4lpb7fGrt3RMm1sTGvZHf0MU3rwY9naZ67u9Y2Pxa1vDH603BhN0bS4NToGOqqzLbauuDMeqll/Blqc5wgQIECAAAECBPoTyEig6K98249GoK55bmxq3x53TzrtaA4bxL5d0bHjobj2jl3x50HsbZfSAg8//HB8/etfj/3795fewVYCBAgQIECAwDsgIFC8A6iGJFALgaeffjqWL18eo0aNEixq0QBzEiBAgACBjAoMzUDR0RqLm5pi8uJ7YsWcj0VDQ8PhS2a69sXOhxbH5IaG3PaGyYujpbUtOosbmOyzYUXMaerep2nON2PTzr3Fe5R+3Oe4hoZkDS3R2la4WKdw2dL90bp9bSye3NS9hqY5sWJr7zV07dsZG1bMiabcOj8Wc1b8JHa+9lbpeXtt/VPsf2lTT90NJcY+vHvhUq6+lyHl19l0S7R2FC6Meiv27Sxac8O0WNzSGm2dhecPj9rfo5KXPOUuVSquc220LJ4WDb3mjojXdsamHo+GaJqzKrbmXJMabouPXHZfHIyfxqJzTz/c614LKdQ6LRZ/92v53ubrHrBvb8XeDTdEU9/1JGPnXmcFu67obGvtXvtAr61eaxq6PwgWQ7c3VkaAAAECBNImMDQDRU75YDy/7sUYvmRbtB/4z9jyuXFR3/VqbPj8tLi89QNx129+H+3tB2Lv/R+ObXNmxaINr+bvKTgYO7/5+fjb+w7E9C2/ze3z0tLR8cKm1jg4YPe6j7t847vj+ueSsduj/cCzcetf/DAum98SO4vfeD/7tVj+6F/G3I17or399/GbNf8vNn36y/GtnfkZOrfHN6++Ku57Y3ps2Xsg2tu3xdLRr8SmDXsGXEH3k1vjjoUb48TrN8WBpL4t0+ONuz4Z01ds7x2aBjHS4V2SN9U3xicu3xrvveu5OJDUtvfr0bxtUUxZtDH2Dj5THB4yeZT0Y9GsuPZXk+LxfJ1Lhj8Zy1Y/23u/iDi44Yl4YfSSeCnn+utYM3JzfDrnGlE/6Y548ccLojEuiZU7Xo9X754U9UeMUNjwbKx7+r2x5KUDceA36+Jz59bl+t1/306MkZMvj9nxWPzgid8W3XfSFR07t8a6mBIXjxse0fl8fGv+zbGt+euxN1lj0tdb3x3fv+y2WH8c39chWBReN74TIECAAAEC75TAEA4UEY2zr4orxtZH1P1VNI8eFh1PPhAL14+N25fOjfEj3hURdTFs7GfjnjWXxuMLH4gnk3+N73ghfnjvazH/1kUxozl5W1oXw5qnx9Jbr47GgRTzx82+ZlZ+7OTQkTHxmpkx4fmfx67fFZ1daLw6bl06PZqHJXzvihHjLohzG3fFE7tej65I7gfYGPe+fEXRPvXRPGNR3Dp/7EAryD83KmatWhZfGD8i6nrWfkW8fO/G2NFztmEQwxTv0vFM3LvwJ3HG7Uvy40bEsLNi7j0rY/bjd8W9Tx7FTdY943Z19+PxC2LVV2fH2JxFfYyde1esKVFn4/ybYumMsTEsOb4/156xB3owNmZfc2luvroRo2N0165cvwfsW/3ZMfOGD8T6B56Il3vC0/7YuXlLxOyLYlx9XXT97lfxxPOj4sLzx3SvMenrpK/EE+2PxNzmkwZa0HHxXCFYrF69+rhYr0USIECAAAECx4/AicfPUrvfAB5snBKj3puEicJXXQwbOTrOOPit2LzzizEutsa6g6Pi9pG5t675nfL7xMuFg478Xj8p7n51e0RnW7RueKr7bMaBX8R9i1bH83FJzDzyiMNbhr0vms+IWNf2u+iMU3NvVA+ecV2MzL3JLuw2LEY2j4rYVfi5v+9j42/OPD0OJ73i+hbFpIn9Hdff9vy/xB88PWaPOrVo3CRUJOt+PZZtfjGWThrorECpsfP9OOO6ODMX7gr75Oss/Djg9z3Rtrczonn4gHsN+OSg+tYYZ3/qsphwx+Z4+uWrojkJCB0vxuZ1EbPXfKT7bMj7zorJ5yyLZS3/FmddfHL878gLYlIukPY/e3Ip3vH2tXjx4kj+80WAAAECBAgQqJTAcRQo8iUfvC8ue/99JeofGx+Nt+K1PS+/zaVNJQ7NbeqI3S03xtRF6+PgOfNj5YKPxymnTIv7fzYmFv7tA/k3vv0dW7S9679jz67XizYMlYe7Y/Vlo6PUv083fnSorPFY1jGYvp0UdWMmx7xZ98TClp/HFXdPjEgudxpzVTx6bj7MDBsfX964JcZt2RaPLr8xVj+fXL42IeavvCnmzpqYPxvVe33JZXFD6WvevHnxyCOPlFzSwoUL44tf/GIMH15GeCs5so1pFjgeQ3Oa+6E2AgQIDFWB4y9QTFgZOx6bG82H/wm/yLYrOmJMNA50JqJo7+KHXW0/ioWLdsTUNf8e357RlP+X/ORG4Mfj1xEx6PfcdafGqI+ePogzEcWzV+Nxcn/CQ6m4fKdYa9B9q3t/TL7q0og5W2Pn0jMjNj8VZ3zmO3F28VmkYc0xaUby3z/G3cmN3hu/H/cuvCymtP04Xhzwvo7iFQ2tx4LE0OqH1RAgQIAAgTQKlHxbPjQLHR7jLp4Sjb9+IV7aV3Q/Q3RF585VMTn3B+HeivpxF8XsxvylND2FdEXn3ldywaBnU68Hhef7Xm70p/ifg4VPeOp1wAA/FNb5SuwtvpE7OmNv22Buyu5n7Y35m4d7zVy4lKvXxj4/1OVNdsfPX0ru8Sj66tweKyYf6x/JK7fOonUc88Oj6Vtd1J87PW4YsyV+sP5H8di6ETHz/EJwLLGAuhExbsacuGb22Di4a0+81guuxP5DbFMSJPbs2RPLli1zVmKI9cZyCBAgQIBA2gSOo0BRF/UT58WqqU/Fwlu+G9tzoSL5qM+Nsfym1RG33Rizkmvj68+LG1Z9PNbNWRItu5Mw0L3PncvXDnApVOFN93Px/Yeejn25N49vxb7t341bFj48wHGlXg6FdT4Wc77wvdidCxUd0bZhZSxfvbvUAX227Y7Vy1fGhvxHqnbu/l58Yc5jMXXVvJhYf2S76sacFzMnvB7rHnqs/7lyJhfE4wtvj3u27+sOFZ27Y8Py2+OOmB/LZ32w970VfVZU+sdCnVti+Z0b8x8/ezR1Fo9aHIy64g+df+gdfIp37fX4KPs27K/jU58ZFetvXBLfOePiOH/M4Zutuz8Sd1os3rA7/2layevmqdi8I2LWvMkx5kj6XisZCj+cf/75IUgMhU5YAwECBAgQyJbAcfA2qaghdU0xY+X6WHPhf8WSD70nGhpOiZFTNsZpC34Qa780vufTeUbO+GpsefDM2Db1/d37zH8+zllwfUwoGuqIh/XnxRcf/Wqc+9y18aFTkr9fMT6WbDs1rvnhgzF/wI+HOmKkiPw6HzyrNaaOPCUaGj4S83/x4Vhw20Uldu676aK4bcE58cqdF3avfWprnPXg+ljZcxlWn/3rPhiz/uU7cUOsjPG5ua6Mlo6pces3Lina8V2RM1lzYby25BNxSvJ3FkZeGRtPmxc/W3t9jCu+7KfoqLd9mKtzbSw5bWNMyc19Ydz5yjmDrLP36HVjLo6bFnTEonNHxIiZ/1r0aUy99zvip6Pq20kx5uK/i1mNjTFh5nm9QkJd89XR8rN5cdrGK2Nk7u9QFF5bq+Ofpw9wJuOIBdVuw9///d87I1E7fjMTIECAAIHMCpxw6NChQ8XVJzfhDbWbTYvX5/FQF/hjtLVcE1ParhuS9x0kZyIunfJCzHv2GzFjZPGnhQ11V+sjUH0Bvw+qb25GAgQIDHWBUr8bjq8zFENdOFPry//l6qbP5S8tS4pPLhNriTuXvRk3zDx7gD9OVyOorr3x5EM/jrdu+GxMESZq1ATTEiBAgAABAmkTECjS1tGq1ZPcQ7EgHl01Nn9pWXKZ2HviE/f/IaY/+u340rijvU7snVx4ctbkymg4ZUIs//M/xOrrzslfHvdOzmlsAgQIECBAgEA2BFzylI0+q5IAAQJHLVDqtPZRD+IAAgQIEEiVQKnfDc5QpKrFiiFAgAABAgQIECBQXQGBorreZiNAgAABAgQIECCQKgGBIlXtVAwBAgQIECBAgACB6goIFNX1NhsBAgQIECBAgACBVAkIFKlqp2IIECBAgAABAgQIVFdAoKiut9kIECBAgAABAgQIpEpAoEhVOxVDgAABAgQIECBAoLoCAkV1vc1GgAABAgQIECBAIFUCAkWq2qkYAgQIECBAgAABAtUVECiq6202AgQIECBAgAABAqkSEChS1U7FECBAgAABAgQIEKiugEBRXW+zESBAgAABAgQIEEiVgECRqnYqhgABAgQIECBAgEB1BQSK6nqbjQABAgQIECBAgECqBASKVLVTMQQIECBAgAABAgSqKyBQVNfbbAQIECBAgAABAgRSJSBQpKqdiiFAgAABAgQIECBQXQGBorreZiNAgAABAgQIECCQKgGBIlXtVAwBAgQIECBAgACB6goIFNX1NhsBAgQIECBAgACBVAkIFKlqp2IIECBAgAABAgQIVFdAoKiut9kIECBAgAABAgQIpEpAoEhVOxVDgAABAgQIECBAoLoCAkV1vc1GgAABAgQIECBAIFUCAkWq2qkYAgQIECBAgAABAtUVECiq6202AgQIECBAgAABAqkSEChS1U7FECBAgAABAgQIEKiugEBRXW+zESBAgAABAgQIEEiVgECRqnYqhgABAgQIECBAgEB1BQSK6nqbjQABAgQIECBAgECqBASKVLVTMQQIECBAgAABAgSqKyBQVNfbbAQIECBAgAABAgRSJSBQpKqdiiFAgAABAgQIECBQXQGBorreZiNAgAABAgQIECCQKgGBIlXtVAwBAgQIECBAgACB6goIFNX1NhsBAgQIECBAgACBVAkIFKlqp2IIECBAgAABAgQIVFdAoKiut9kIECBAgAABAgQIpEpAoEhVOxVDgAABAgQIECBAoLoCAkV1vc1GgAABAgQIECBAIFUCAkWq2qkYAgQIECBAgAABAtUVECiq6202AgQIECBAgAABAqkSEChS1U7FECBAgAABAgQIEKiugEBRXW+zESBAgAABAgQIEEiVgECRqnYqhgABAgQIECBAgEB1BQSK6nqbjQABAgQIECBAgECqBASKVLVTMQQIECBAgAABAgSqKyBQVNfbbAQIECBAgAABAgRSJSBQpKqdiiFAgAABAgQIECBQXQGBorreZiNAgAABAgQIECCQKgGBIlXtVAwBAgQIECBAgACB6goIFNX1NhsBAgQIECBAgACBVAkIFKlqp2IIECBAgAABAgQIVFdAoKiut9kIECBAgAABAgQIpEpAoEhVOxVDgAABAgQIECBAoLoCAkV1vc1GgAABAgQIECBAIFUCAkWq2qkYAgQIECBAgAABAtUVECiq6202AgQIECBAgAABAqkSEChS1U7FECBAgAABAgQIEKiugEBRXW+zESBAgAABAgQIEEiVgECRqnYqhgABAgQIECBAgEB1BQSK6nqbjQABAgQIECBAgECqBASKVLVTMQQIECBAgAABAgSqKyBQVNfbbAQIECBAgAABAgRSJSBQpKqdiiFAgAABAgQIECBQXQGBorreZiNAgAABAgQIECCQKgGBIlXtVAwBAgQIECBAgACB6goIFNX1NhsBAgQIECBAgACBVAkIFKlqp2IIECBAgAABAgQIVFdAoKiut9kIECBAgAABAgQIpEpAoEhVOxVDgAABAgQIECBAoLoCAkV1vc1GgAABAgQIECBAIFUCAkWq2qkYAgQIECBAgAABAtUVECiq6202AgQIECBAgAABAqkSEChS1U7FECBAgAABAgQIEKiugEBRXW+zESBAgAABAgQIEEiVgECRqnYqhgABAgQIECBAgEB1BQSK6nqbjQABAgQIECBAgECqBASKVLVTMQQIECBAgAABAgSqKyBQVNfbbAQIECBAgAABAgRSJSBQpKqdiiFAgAABAgQIECBQXQGBorreZiNAgAABAgQIECCQKgGBIlXtVAwBAgQIECBAgACB6goIFNX1NhsBAgQIECBAgACBVAkIFKlqp2IIECBAgAABAgQIVFdAoKiut9kIECBAgAABAgQIpEpAoEhVOxVDgAABAgQIECBAoLoCAkV1vc1GgAABAgQIECBAIFUCAkWq2qkYAgQIECBAgAABAtUVECiq6202AgQIECBAgAABAqkSEChS1U7FECBAgAABAgQIEKiugEBRXW+zESBAgAABAgQIEEiVgECRqnYqhgABAgQIECBAgEB1BQSK6nqbjQABAgQIECBAgECqBASKVLVTMQQIECBAgAABAgSqKyBQVNfbbAQIECBAgAABAgRSJXBiqqpRDIEqCjQ0NPSarb29vefnvs8lTwz2+XKOTeYZ6PiBnnu7Y0s9P9iaSh2bbBvo+IGee7tj3+75So1dac/idVd67GOtubCOgY4f6LnimpLHhfGSx4WvwvEDPZfsW87z5Rxbau7Cmks9l2wr5/lyji2eu9I1v5NjV6rmUv04HsbWq6Rz5f3/pvj4tHgWv3a7hYbu/55w6NChQ8XLS5pwPBVQvHaPCRAgQKByAn4fVM7SSAQIEEiLQKnfDS55Skt31UGAAAECBAgQIECgBgICRQ3QTUmAAAECBAgQIEAgLQICRVo6qQ4CBAgQIECAAAECNRAQKGqAbkoCBAgQIECAAAECaREQKNLSSXUQIECAAAECBAgQqIGAQFEDdFMSIECAAAECBAgQSIuAQJGWTqqDAAECBAgQIECAQA0EBIoaoJuSAAECBAgQIECAQFoEBIq0dFIdBAgQIECAAAECBGogIFDUAN2UBAgQIECAAAECBNIiIFCkpZPqIECAAAECBAgQIFADAYGiBuimJECAAAECBAgQIJAWAYEiLZ1UBwECBAgQIECAAIEaCAgUNUA3JQECBAgQIECAAIG0CAgUaemkOggQIECAAAECBAjUQECgqAG6KQkQIECAAAECBAikRUCgSEsn1UGAAAECBAgQIECgBgICRQ3QTUmAAAECBAgQIEAgLQICRVo6qQ4CBAgQIECAAAECNRAQKGqAbkoCBAgQIECAAAECaREQKNLSSXUQIECAAAECBAgQqIGAQFEDdFMSIECAAAECBAgQSIuAQJGWTqqDAAECBAgQIECAQA0EBIoaoJuSAAECBAgQIECAQFoEBIq0dFIdBAgQIECAAAECBGogIFDUAN2UBAgQIECAAAECBNIiIFCkpZPqIECAAAECBAgQIFADAYGiBuimJECAAAECBAgQIJAWAYEiLZ1UBwECBAgQIECAAIEaCAgUNUA3JQECBAgQIECAAIG0CAgUaemkOggQIECAAAECBAjUQECgqAG6KQkQIECAAAECBAikRUCgSEsn1UGAAAECBAgQIECgBgICRQ3QTUmAAAECBAgQIEAgLQICRVo6qQ4CBAgQIECAAAECNRAQKGqAbkoCBAgQIECAAAECaREQKNLSSXUQIECAAAECBAgQqIGAQFEDdFMSIECAAAECBAgQSIuAQJGWTqqDAAECBAgQIECAQA0EBIoaoJuSAAECBAgQIECAQFoEBIq0dFIdBAgQIECAAAECBGogIFDUAN2UBAgQIECAAAECBNIiIFCkpZPqIECAAAECBAgQIFADAYGiBuimJECAAAECBAgQIJAWAYEiLZ1UBwECBAgQIECAAIEaCAgUNUA3JQECBAgQIECAAIG0CAgUaemkOggQIECAAAECBAjUQECgqAG6KQkQIECAAAECBAikRUCgSEsn1UGAAAECBAgQIECgBgICRQ3QTUmAAAECBAgQIEAgLQICRVo6qQ4CBAgQIECAAAECNRAQKGqAbkoCBAgQIECAAAECaREQKNLSSXUQIECAAAECBAgQqIGAQFEDdFMSIECAAAECBAgQSIuAQJGWTqqDAAECBAgQIECAQA0EBIoaoJuSAAECBAgQIECAQFoEBIq0dFIdBAgQIECAAAECBGogIFDUAN2UBAgQIECAAAECBNIiIFCkpZPqIECAAAECBAgQIFADAYGiBuimJECAAAECBAgQIJAWAYEiLZ1UBwECBAgQIECAAIEaCAgUNUA3JQECBAgQIECAAIG0CAgUaemkOggQIECAAAECBAjUQECgqAG6KQkQIECAAAECBAikRUCgSEsn1UGAAAECBAgQIECgBgICRQ3QTUmAAAECBAgQIEAgLQICRVo6qQ4CBAgQIECAAFM/S7cAABXFSURBVAECNRAQKGqAbkoCBAgQIECAAAECaREQKNLSSXUQIECAAAECBAgQqIGAQFEDdFMSIECAAAECBAgQSIuAQJGWTqqDAAECBAgQIECAQA0EBIoaoJuSAAECBAgQIECAQFoEBIq0dFIdBAgQIECAAAECBGogIFDUAN2UBAgQIECAAAECBNIiIFCkpZPqIECAAAECBAgQIFADAYGiBuimJECAAAECBAgQIJAWAYEiLZ1UBwECBAgQIECAAIEaCAgUNUA3JQECBAgQIECAAIG0CAgUaemkOggQIECAAAECBAjUQECgqAG6KQkQIECAAAECBAikRUCgSEsn1UGAAAECBAgQIECgBgICRQ3QTUmAAAECBAgQIEAgLQICRVo6qQ4CBAgQIECAAAECNRAQKGqAbkoCBAgQIECAAAECaREQKNLSSXUQIECAAAECBAgQqIGAQFEDdFMSIECAAAECBAgQSIuAQJGWTqqDAAECBAgQIECAQA0EBIoaoJuSAAECBAgQIECAQFoEBIq0dFIdBAgQIECAAAECBGogIFDUAN2UBAgQIECAAAECBNIiIFCkpZPqIECAAAECBAgQIFADAYGiBuimJECAAAECBAgQIJAWAYEiLZ1UBwECBAgQIECAAIEaCAgUNUA3JQECBAgQIECAAIG0CAgUaemkOggQIECAAAECBAjUQECgqAG6KQkQIECAAAECBAikRUCgSEsn1UGAAAECBAgQIECgBgICRQ3QTUmAAAECBAgQIEAgLQICRVo6qQ4CBAgQIECAAAECNRDISKDoio7WW6Kp4cpoaftjDZiTKd+I1sXjo2FaS7R1lV5CV1tLTHu7NXbtjpZpY2Nay+7oZ5jSgx/L1j5zda9vfCxufWPwo+XGaIqmxa3RMdBRnW2xdcWd8VDN+jPQ4jxHgAABAgQIECDQn0BGAkV/5dt+NAJ1zXNjU/v2uHvSaUdz2CD27YqOHQ/FtXfsij8PYm+7lBbYv39/vPnmm6WftJUAAQIECBAg8A4JCBTvEKxhCVRb4Lbbbouzzz47HnnkEcGi2vjmI0CAAAECGRYYmoGiozUWNzXF5MX3xIo5H4uGhobDl8x07YudDy2OyQ0Nue0NkxdHS2tbdBY3Mdlnw4qY09S9T9Ocb8amnXuL9yj9uM9xDQ3JGlqita1wsU7hsqX7o3X72lg8ual7DU1zYsXW3mvo2rczNqyYE025dX4s5qz4Sex87a3S8/ba+qfY/9KmnrobSox9ePfCpVx9L0PKr7PplmjtKFwY9Vbs21m05oZpsbilNdo6C88fHrW/RyUvecpdqlRc59poWTwtGnrNHRGv7YxNPR4N0TRnVWzNuSY13BYfuey+OBg/jUXnnn64170WUqh1Wiz+7tfyvc3XPWDf3oq9G26Ipr7rScbOvc4Kdl3R2dbavfaBXlu91jS0fvi///u/2LdvX/zTP/2TYDG0WmM1BAgQIEAg1QJDM1DkyA/G8+tejOFLtkX7gf+MLZ8bF/Vdr8aGz0+Ly1s/EHf95vfR3n4g9t7/4dg2Z1Ys2vBq/p6Cg7Hzm5+Pv73vQEzf8tvcPi8tHR0vbGqNgwO2svu4yze+O65/Lhm7PdoPPBu3/sUP47L5LbGz+I33s1+L5Y/+ZczduCfa238fv1nz/2LTp78c39qZn6Fze3zz6qvivjemx5a9B6K9fVssHf1KbNqwZ8AVdD+5Ne5YuDFOvH5THEjq2zI93rjrkzF9xfbeoWkQIx3eJXlTfWN84vKt8d67nosDSW17vx7N2xbFlEUbY+/gM8XhIZNHST8WzYprfzUpHs/XuWT4k7Fs9bO994uIgxueiBdGL4mXcq6/jjUjN8enc64R9ZPuiBd/vCAa45JYueP1ePXuSVF/xAiFDc/GuqffG0teOhAHfrMuPnduXa7f/fftxBg5+fKYHY/FD574bdF9J13RsXNrrIspcfG44RGdz8e35t8c25q/HnuTNSZ9vfXd8f3Lbov1x9l9HclrV7AovF58J0CAAAECBN5pgSEcKCIaZ18VV4ytj6j7q2gePSw6nnwgFq4fG7cvnRvjR7wrIupi2NjPxj1rLo3HFz4QTyb/Gt/xQvzw3tdi/q2LYkZz8ra0LoY1T4+lt14djQNp5o+bfc2s/NjJoSNj4jUzY8LzP49dvys6u9B4ddy6dHo0D0v43hUjxl0Q5zbuiid2vR5dkdwPsDHuffmKon3qo3nGorh1/tiBVpB/blTMWrUsvjB+RNT1rP2KePnejbGj52zDIIYp3qXjmbh34U/ijNuX5MeNiGFnxdx7Vsbsx++Ke588ipuse8bt6u7H4xfEqq/OjrE5i/oYO/euWFOizsb5N8XSGWNjWHJ8f649Yw/0YGzMvubS3Hx1I0bH6K5duX4P2Lf6s2PmDR+I9Q88ES/3hKf9sXPzlojZF8W4+rro+t2v4onnR8WF54/pXmPS10lfiSfaH4m5zScNtKAh+5xgMWRbY2EECBAgQCBVAiceP9V0vwE82DglRr03CROFr7oYNnJ0nHHwW7F55xdjXGyNdQdHxe0jc29d8zvl94mXCwcd+b1+Utz96vaIzrZo3fBU99mMA7+I+xatjufjkph55BGHtwx7XzSfEbGu7XfRGafm3qgePOO6GJl7k13YbViMbB4Vsavwc3/fx8bfnHl6HE56xfUtikkT+zuuv+35f4k/eHrMHnVq0bhJqEjW/Xos2/xiLJ000FmBUmPn+3HGdXFmLtwV9snXWfhxwO97om1vZ0Tz8AH3GvDJQfWtMc7+1GUx4Y7N8fTLV0VzEhA6XozN6yJmr/lI99mQ950Vk89ZFsta/i3Ouvjk+N+RF8SkXCDtf/bkUrzj4St3tq29PebNm5f773hYszUSIECAAAECx4/AcRQo8qgH74vL3n9fCeGx8dF4K17b8/LbXNpU4tDcpo7Y3XJjTF20Pg6eMz9WLvh4nHLKtLj/Z2Ni4d8+kH/j29+xRdu7/jv27Hq9aMNQebg7Vl82OlaXWE7jR0tsPG42DaZvJ0XdmMkxb9Y9sbDl53HF3RMjksudxlwVj56bDzPDxseXN26JcVu2xaPLb4zVzyeXr02I+StvirmzJubPRvVGSd6oD6WvJDAkN2SX+jrppJNiypQp8ZWvfCWam5tL7WIbgSMEjpfQfMTCbSBAgACBqgocf4FiwsrY8djcaD78T/hFYF3REWOicaAzEUV7Fz/savtRLFy0I6au+ff49oym/L/kJzcCPx6/johBv+euOzVGffT0QZyJKJ69Go+T+xMeOm4v3+lPaNB9q3t/TL7q0og5W2Pn0jMjNj8VZ3zmO3F28VmkYc0xaUby3z/G3cmN3hu/H/cuvCymtP04Xhzwvo7+Vlf77YJE7XtgBQQIECBAIO0CJd+WD82ih8e4i6dE469fiJf2Fd3PEF3RuXNVTM79Qbi3on7cRTG7MX8pTU8hXdG595VcMOjZ1OtB4fm+lxv9Kf7nYOETnnodMMAPhXW+EnuLb+SOztjbNpibsvtZe2P+5uFeMxcu5eq1sc8PdXmT3fHzl5J7PIq+OrfHisnH+kfyyq2zaB3H/PBo+lYX9edOjxvGbIkfrP9RPLZuRMw8vxAcSyygbkSMmzEnrpk9Ng7u2hOv9YIrsf8Q25QEiU9+8pPx1FNPxdq1a52VGGL9sRwCBAgQIJAmgeMoUNRF/cR5sWrqU7Hwlu/G9lyoSD7qc2Msv2l1xG03xqzk2vj68+KGVR+PdXOWRMvuJAx073Pn8rUDXApVeNP9XHz/oadjX+7N41uxb/t345aFDw9wXKmXQmGdj8WcL3wvdudCRUe0bVgZy1fvLnVAn227Y/XylbEh/5Gqnbu/F1+Y81hMXTUvJtYf2a66MefFzAmvx7qHHut/rpzJBfH4wtvjnu37ukNF5+7YsPz2uCPmx/JZH+x9b0WfFZX+sVDnllh+58b8x88eTZ3FoxYHo674Q+cfegef4l17PT7Kvg376/jUZ0bF+huXxHfOuDjOH3P4Zuvuj8SdFos37M5/mlbyunkqNu+ImDVvcow5kr7XSobSD4LEUOqGtRAgQIAAgfQLHEdvk5JPB2qKGSvXx5oL/yuWfOg90dBwSoycsjFOW/CDWPul8T2fzjNyxldjy4Nnxrap7+/eZ/7zcc6C62PCQP2sPy+++OhX49znro0PnZL8/YrxsWTbqXHNDx+M+QN+PFSJQfPrfPCs1pg68pRoaPhIzP/Fh2PBbReV2LnvpovitgXnxCt3Xti99qmtcdaD62Nlz2VYffav+2DM+pfvxA2xMsbn5royWjqmxq3fuKRox3dFzmTNhfHakk/EKcnfWRh5ZWw8bV78bO31Ma74sp+io972Ya7OtbHktI0xJTf3hXHnK+cMss7eo9eNuThuWtARi84dESNm/mvRpzH13u+In46qbyfFmIv/LmY1NsaEmef1Cgl1zVdHy8/mxWkbr4yRub9DUXhtrY5/nj7AmYwjFlS7Dddff33s2LHDGYnatcDMBAgQIEAgkwInHDp06FBx5clNeEPtZtPi9Xk81AX+GG0t18SUtuuG5H0HyZmIS6e8EPOe/UbMGFn8aWFD3dX6CFRfwO+D6pubkQABAkNdoNTvhuPrDMVQF87U+vJ/ubrpc/lLy5Lik8vEWuLOZW/GDTPPHuCP09UIqmtvPPnQj+OtGz4bU4SJGjXBtAQIECBAgEDaBASKtHW0avUk91AsiEdXjc1fWpZcJvae+MT9f4jpj347vjTuaK8TeycXnpw1uTIaTpkQy//8D7H6unPyl8e9k3MamwABAgQIECCQDQGXPGWjz6okQIDAUQuUOq191IM4gAABAgRSJVDqd4MzFKlqsWIIECBAgAABAgQIVFdAoKiut9kIECBAgAABAgQIpEpAoEhVOxVDgAABAgQIECBAoLoCAkV1vc1GgAABAgQIECBAIFUCAkWq2qkYAgQIECBAgAABAtUVECiq6202AgQIECBAgAABAqkSEChS1U7FECBAgAABAgQIEKiugEBRXW+zESBAgAABAgQIEEiVgECRqnYqhgABAgQIECBAgEB1BQSK6nqbjQABAgQIECBAgECqBASKVLVTMQQIEDg2gTfffDOeeeaZAQ/+5S9/Gfv37x9wH08SIECAQPYEBIrs9VzFBAgQKClw44039hsYksBx3XXXxRtvvFHyWBsJECBAILsCAkV2e69yAgQI9AicfPLJcfPNN8e6det6thU/+OlPfxoTJ06M5ubm4s0eEyBAgACBECi8CAgQIEAgJ3DJJZfE9773vSPOUiRnJ772ta/FtddeS4oAAQIECBwhIFAcQWIDAQIEsinQ31kKZyey+XpQNQECBAYrIFAMVsp+BAgQyIBA37MUzk5koOlKJECAQJkCAkWZgA4nQIBAmgT6nqVwdiJN3VULAQIE3hmBEw4dOnSoeOiGhoZob28v3uQxAQIECGRIIDkrMWnSpPiP//iP+PCHPxwPP/ywm7Ez1H+lEiBAYCCBUlnBGYqBxDxHgACBDAoUzlIkpftkpwy+AJRMgACBoxQQKI4SzO4ECBDIgkByL0Xy5ZOdstBtNRIgQKA8gRPLO9zRBAgQIJBGgeQshctf09hZNREgQKDyAs5QVN7UiAQIECBAgAABAgQyIyBQZKbVCiVAgAABAgQIECBQeQGBovKmRiRAgAABAgQIECCQGQGBIjOtVigBAgQIECBAgACBygsIFJU3NSIBAgQIECBAgACBzAgIFJlptUIJECBAgAABAgQIVF5AoKi8qREJECBAgAABAgQIZEZAoMhMqxVKgAABAgQIECBAoPICAkXlTY1IgAABAgQIECBAIDMCAkVmWq1QAgQIECBAgAABApUXECgqb2pEAgQIECBAgAABApkRECgy02qFEiBAgAABAgQIEKi8gEBReVMjEiBAgAABAgQIEMiMgECRmVYrlAABAgQIECBAgEDlBQSKypsakQABAgQIECBAgEBmBASKzLRaoQQIECBAgAABAgQqLyBQVN7UiAQIECBAgAABAgQyIyBQZKbVCiVAgAABAgQIECBQeQGBovKmRiRAgAABAgQIECCQGQGBIjOtVigBAgQIECBAgACBygsIFJU3NSIBAgQIECBAgACBzAgIFJlptUIJECBAgAABAgQIVF5AoKi8qREJECBAgAABAgQIZEZAoMhMqxVKgAABAgQIECBAoPICAkXlTY1IgAABAgQIECBAIDMCAkVmWq1QAgQIECBAgAABApUXECgqb2pEAgQIECBAgAABApkRECgy02qFEiBAgAABAgQIEKi8gEBReVMjEiBAgAABAgQIEMiMgECRmVYrlAABAgQIECBAgEDlBQSKypsakQABAgQIECBAgEBmBASKzLRaoQQIECBAgAABAgQqLyBQVN7UiAQIECBAgAABAgQyIyBQZKbVCiVAgAABAgQIECBQeQGBovKmRiRAgAABAgQIECCQGQGBIjOtVigBAgQIECBAgACBygsIFJU3NSIBAgQIECBAgACBzAgIFJlptUIJECBAgAABAgQIVF5AoKi8qREJECBAgAABAgQIZEZAoMhMqxVKgAABAgQIECBAoPICAkXlTY1IgAABAgQIECBAIDMCAkVmWq1QAgQIECBAgAABApUXECgqb2pEAgQIECBAgAABApkRECgy02qFEiBAgAABAgQIEKi8gEBReVMjEiBAgAABAgQIEMiMgECRmVYrlAABAgQIECBAgEDlBQSKypsakQABAgQIECBAgEBmBASKzLRaoQQIECBAgAABAgQqLyBQVN7UiAQIECBAgAABAgQyIyBQZKbVCiVAgAABAgQIECBQeQGBovKmRiRAgAABAgQIECCQGQGBIjOtVigBAgQIECBAgACBygsIFJU3NSIBAgQIECBAgACBzAgIFJlptUIJECBAgAABAgQIVF5AoKi8qREJECBAgAABAgQIZEZAoMhMqxVKgAABAgQIECBAoPICAkXlTY1IgAABAgQIECBAIDMCAkVmWq1QAgQIECBAgAABApUXECgqb2pEAgQIECBAgAABApkRECgy02qFEiBAgAABAgQIEKi8gEBReVMjEiBAgAABAgQIEMiMgECRmVYrlAABAgQIECBAgEDlBQSKypsakQABAgQIECBAgEBmBASKzLRaoQQIECBAgAABAgQqLyBQVN7UiAQIECBAgAABAgQyIyBQZKbVCiVAgAABAgQIECBQeQGBovKmRiRAgAABAgQIECCQGQGBIjOtVigBAgQIECBAgACBygsIFJU3NSIBAgQIECBAgACBzAgIFJlptUIJECBAgAABAgQIVF7ghEOHDh0qDNvQ0FB46DsBAgQIECBAgAABAgRKCrS3t/ds7xUoerZ6QIAAAQIECBAgQIAAgUEIuORpEEh2IUCAAAECBAgQIECgtIBAUdrFVgIECBAgQIAAAQIEBiHw/wFL/KC5WsbT8wAAAABJRU5ErkJggg=="></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the diagram, draw lines to show the rays after they have refracted through the lens. Label the refracted red rays with the letter R and the refracted blue rays with the letter B.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest how the refracted rays in (a) are modified when the converging lens is&nbsp;replaced by a diverging lens.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Hence state how the defect of the converging lens in (a) may be corrected.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>each incident ray shown splitting into two ✔</p>
<p>each pair symmetrically intersecting each other on principal axis ✔</p>
<p>for red, intersection further to the right ✔</p>
<p><img 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"></p>
<p><em>For MP3, at least one of the rays must be labelled.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>rays diverge after passing through lens</p>
<p><em><strong>OR</strong></em></p>
<p>the extension of the rays will intersect the principal axis on the side of incident rays/as if they were coming from the focal point/points in the left side/OWTTE ✔</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>by placing a diverging lens next to the converging lens</p>
<p><em><strong>OR</strong></em></p>
<p>make an achromatic doublet ✔</p>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The diagram represents a simple optical astronomical reflecting telescope with the path of&nbsp;some light rays shown.</p>
<p style="text-align: left;"><img 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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify, with the letter X, the position of the focus of the primary mirror.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>This arrangement using the secondary mirror is said to increase the focal length of the&nbsp;primary mirror. State why this is an advantage.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Distinguish between this mounting and the Newtonian mounting.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A radio telescope also has a primary mirror. Identify <strong>one </strong>difference in the way radiation&nbsp;from this primary mirror is detected.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>where the extensions of the reflected rays from the primary mirror would meet, with construction lines</p>
<p>&nbsp;</p>
<p><em>eg:</em></p>
<p><img src="images/Schermafbeelding_2018-08-13_om_08.46.36.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/09.a/M"></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>greater magnification</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Newtonian mount has</p>
<p>plane/not curved <strong>«</strong>secondary<strong>» </strong>mirror</p>
<p><strong>«</strong>secondary<strong>» </strong>mirror at angle/45° to axis</p>
<p>eyepiece at side/at 90° to axis</p>
<p>mount shown is Cassegrain</p>
<p>&nbsp;</p>
<p><em>OWTTE</em></p>
<p><em>Accept these marking points in diagram form</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>waves collected above mirror/dish</p>
<p>waves collected at the focus of the mirror/dish</p>
<p>waves detected by radio receiver/antenna</p>
<p>waves converted to electrical signals</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="background-color: #ffffff;">The refractive index <span style="display: inline !important; float: none; background-color: #ffffff; color: #000000; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n">
  <mi>n</mi>
</math></span></span> of a material is the ratio of the speed of light in a vacuum <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="c">
  <mi>c</mi>
</math></span>, to the speed of light in the material <span style="display: inline !important; float: none; background-color: #ffffff; color: #000000; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="v">
  <mi>v</mi>
</math></span></span> or <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="n = \frac{c}{v}">
  <mi>n</mi>
  <mo>=</mo>
  <mfrac>
    <mi>c</mi>
    <mi>v</mi>
  </mfrac>
</math></span>.<br></span></p>
<p><span style="background-color: #ffffff;">The speed of light in a vacuum <span style="display: inline !important; float: none; background-color: #ffffff; color: #000000; font-family: Verdana,Arial,Helvetica,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="c">
  <mi>c</mi>
</math></span></span> is 2.99792 × 10<sup>8</sup> m s<sup>-1</sup>. The following data are available for the refractive indices of the fibre core for two wavelengths of light:</span></p>
<p><span style="background-color: #ffffff;"><img src="data:image/png;base64,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"></span></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Outline the differences between step-index and graded-index optic fibres.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Determine the difference between the speed of light corresponding to these two wavelengths in the core glass.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">bi.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">An input signal to the fibre consists of wavelengths that range from 1299 nm to 1301 nm. The diagram shows the variation of intensity with time of the input signal.</span></p>
<p><span style="background-color:#ffffff;"><img src="data:image/png;base64,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"></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">Sketch, on the axes, the variation of signal intensity with time after the signal has travelled a long distance along the fibre.</span></span></p>
<div class="marks">[2]</div>
<div class="question_part_label">bii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Explain the shape of the signal you sketched in (b)(ii).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">biii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">A signal consists of a series of pulses. Outline how the length of the fibre optic cable limits the time between transmission of pulses in a practical system.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">biv.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;">refractive index of step index fibre is constant ✔<br></span></p>
<p><span style="background-color:#ffffff;">refractive index of graded index fibre decreases with distance from axis/centre ✔<br></span></p>
<p><span style="background-color:#ffffff;">graded index fibres have less dispersion ✔<br></span></p>
<p><span style="background-color:#ffffff;">step index fibre: path of rays is in a zig-zag manner ✔<br></span></p>
<p><span style="background-color:#ffffff;">graded index fibre: path of rays is in curved path ✔</span><span style="background-color:#ffffff;"><span style="background-color:#ffffff;"><br></span></span></p>
<p><em><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">For MP2 do not accept vague statements such as “index increases/varies with distance from centre”.</span></span></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="v = \frac{c}{n} = {v_{1299}} = \frac{{2.99792 \times {{10}^8}}}{{1.45061}} = 2.06666 \times {10^8}">
  <mi>v</mi>
  <mo>=</mo>
  <mfrac>
    <mi>c</mi>
    <mi>n</mi>
  </mfrac>
  <mo>=</mo>
  <mrow>
    <msub>
      <mi>v</mi>
      <mrow>
        <mn>1299</mn>
      </mrow>
    </msub>
  </mrow>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>2.99792</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>8</mn>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mn>1.45061</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mn>2.06666</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>8</mn>
    </msup>
  </mrow>
</math></span> «ms<sup>–1</sup>» <em><strong>AND</strong></em></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{v_{1301}} = \frac{{2.99792 \times 10{}^8}}{{1.45059}} = 2.06669 \times {10^8}">
  <mrow>
    <msub>
      <mi>v</mi>
      <mrow>
        <mn>1301</mn>
      </mrow>
    </msub>
  </mrow>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>2.99792</mn>
      <mo>×</mo>
      <mn>10</mn>
      <msup>
        <mrow>

        </mrow>
        <mn>8</mn>
      </msup>
    </mrow>
    <mrow>
      <mn>1.45059</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mn>2.06669</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>8</mn>
    </msup>
  </mrow>
</math></span>«ms<sup>–1</sup>»</span></span></p>
<p><em><strong>OR</strong></em></p>
<p><span style="background-color:#ffffff;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\Delta v = \left( {\frac{1}{{1.45059}} - \frac{1}{{1.45061}}} \right) \times 2.99792 \times {10^8}">
  <mi mathvariant="normal">Δ</mi>
  <mi>v</mi>
  <mo>=</mo>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mn>1</mn>
        <mrow>
          <mn>1.45059</mn>
        </mrow>
      </mfrac>
      <mo>−</mo>
      <mfrac>
        <mn>1</mn>
        <mrow>
          <mn>1.45061</mn>
        </mrow>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>×</mo>
  <mn>2.99792</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>8</mn>
    </msup>
  </mrow>
</math></span> &nbsp;✔</span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\Delta v = 2.85 \times {10^3}">
  <mi mathvariant="normal">Δ</mi>
  <mi>v</mi>
  <mo>=</mo>
  <mn>2.85</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>3</mn>
    </msup>
  </mrow>
</math></span> <em><strong>OR</strong></em>&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="3 \times {10^3}">
  <mn>3</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>3</mn>
    </msup>
  </mrow>
</math></span>«ms<sup><span style="font-size:small;">–1</span></sup>»✔</span></span></p>
<p>&nbsp;</p>
<div class="question_part_label">bi.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;">pulse wider ✔<br></span></p>
<p><span style="background-color:#ffffff;">pulse area smaller ✔</span></p>
<p><em><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">For MP2 do not accept lower amplitude unless pulse area is also smaller.</span></span></em></p>
<div class="question_part_label">bii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;">reference to dispersion<br></span></p>
<p><span style="background-color:#ffffff;"><em><strong>OR</strong></em><br></span></p>
<p><span style="background-color:#ffffff;">reference to time/speed/path difference ✔<br></span></p>
<p><span style="background-color:#ffffff;">reference to power loss/energy loss/scattering/attenuation ✔</span></p>
<div class="question_part_label">biii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;">longer cables give wider pulses ✔<br></span></p>
<p><span style="background-color:#ffffff;">which overlap/interfere if <em>T</em> too small/<em>f</em> too high ✔</span></p>
<p><em><span style="background-color:#ffffff;">OWTTE</span></em></p>
<div class="question_part_label">biv.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>The differences between step index fibres and graded index fibres seem well-known.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>The calculation of the difference in the speed of light for two different wavelengths was well answered. Candidates often rounded answers to a small number of significant figures when finding the individual speeds.</p>
<div class="question_part_label">bi.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Most candidates correctly drew a wider pulse with smaller area.</p>
<div class="question_part_label">bii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Correct answers mentioning dispersion and attenuation were common but few candidates were able to relate those phenomena to the shape of the pulse drawn.</p>
<div class="question_part_label">biii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Most candidates did not mention the fact that if the time between pulses was too small then the pulses would overlap for longer fibres.</p>
<div class="question_part_label">biv.</div>
</div>
<br><hr><br><div class="specification">
<p>A ray diagram for a converging lens is shown. The object is labelled O and the image is&nbsp;labelled I.</p>
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4Gsy5ksa7LQui5UL+g9bDy0WrR4aJU4SK9XHOQH1Vu05uSG9CKuFq0WG6TD4kNskF6vOMgPqrdoteRsieNhg7hatFpsuqbVMg48mHix9xgHufLx0OrFzZIz0mvx4WFj8YG05uSG9HpozZkP0ovytWi12FjiIK1ecSxakI1Fq+gdtGSdRKTiJGmduD6Otuha6iO205+pDfIZ22q71Ee00Z+pjW4f7dA1qw/tRx9LnNRHWezUJvVR5ie1SX0wzjECKRdymzsmUyYcb/Humf1/gqCxVMYtXoseUx/6uj7WfaKPq2zkurZjnNk8yC0SOPZZN1Z0XWxVNp60XVm9tK2z0XXzjRPbx5jatz6Oduia1JfZxPajilMWM9WS2qT1UaO2S210nbbX1/VxWb66nT7W7fSx1UbaVLWz+hC71E/qM63XvvWxbqePrTZVcWJ7z0/uifCkSV8kQAIkQAIkQAIkQAIkMKEEuCdiQjuWaZEACZAACZAACZAACZBADgJjXc6UI0HGIAESIAESIAESIAESIAES8CWQdRJh2dhRtv5Lp4zqxdbDxkOrRYuHVomD9HrFQX5QvUVrTm5IL+Jq0WqxQTosPsQG6fWKg/ygeotWS86WOB42iKtFq8Wma1ot48CDiRd7j3GQKx8PrV7cLDkjvRYfHjYWH0hrTm5Ir4fWnPkgvShfi1aLjSUO0uoVx6IF2Vi0it5BS9ZJxKDiaE8CJEACJEACJEACJEACJNA8AtxY3bw+oSISIAESIAESIAESIAESaBwBbqxuXJdQEAmQAAmQAAmQAAmQAAm0h0DW5UzpmixZw6XXcaXnglHXx3N9bVRtRGuOOKl+dF7FQLNNfVS1seRXZzNsHK21adp0vqINjYNhGaRxUj/ovIqbZpv6qGqjteRso7U2TZtm0rZxgMZs01hzHMz+76BX/3AclP9uf3pvp//mofP474F8xmJpM2hc8e3RBo2DVHuMq2OnNum5Zxv978Eo49TlZ81Ha7W20XFztkm1SmyX0lMlhKDO/A+np6eh05mZmVobVC+NPWw8tFq0eGiVOEivVxzkB9VbtObkhvQirhatFhukw+JDbJBerzjID6q3aLXkbInjYYO4WrRabLqm1TIOPJh4sfcYB7ny8dDqxc2SM9Jr8eFhY/GBtObkhvR6aM2ZD9KL8rVotdhY4iCtXnEsWpCNRavotRQ9V+CeCJepGJ2QAAmQAAmQAAmQAAmQwGQT4J6Iye5fZkcCJEACJEACJEACJEACIyUw1j0RZZml68VSG1Qv9h42lvVjHnE8fEjOSK9XHOQH1Vu0WvrQEsfDBnG1aLXYeGi1sPWKg/ygeovWnNyQ3jaNgzZptYwD1DeWcWKxscTxYGuJ42HjodWLmyUfpNfiw8PG4gNpzckN6fXQmjMfpBfla9FqsbHEQVq94li0IBuLVtE7aMk6iRhUHO1JgARIgARIgARIgARIgASaR4B7IprXJ1REAiRAAiRAAiRAAiRAAo0jwD0RjesSCiIBEiABEiABEiABEiCB9hDgcqb29BWVjoHAxo0bw4EDB8YQmSFJgARIgARIgARIoLkEsk4i0o0dcq6vpeeCTdfHc31t0ttU5VfHgG2OjRvNyDJ2Um4yefjwhz8cLrnkkv4dnNqk58PEYZtjeFOW6JzcyO0Ygbn3O8cOZsL7Z373Txx7Fo7Rpolt0nslapXrsaQ26TnbHCOVckHnubnF/nT91C+W0C+Q0Ne9ji0vu0AvzED1otXDxkOrRYuHVomD9HrFQX5QvUVrTm51ei+99NKe3BMnn3xyb//+/SKrtNT5iA2QDaoXPxYbjoNI/PinhRuyQVyt/YPioHpLnDZplXyQXg8mFm6WOEirVxyLFmTjoTVnPkgvytei1WJjiYO0esWxaEE2Hlpz5oP0onwtWi02ljhIq1ccixZkY9Eqei1FzxW4sdp1SkZnk0JAvoV4zWteE37yk58UKV166aXhL/7iLyYlPeZBAiRAAiRAAiRAAgMT4MbqgZGxQdcIfOhDH+pPICT3f/iHf+DeiK4NAuZLAiRAAiRAAiRQSWCseyLKVKEXZqB68elhI2vZUPGI4+FDdCK9XnGQH1Rv0So2yA+qt/iospFvIWTSoIt8IyETi7LiocXDh2jjOJjbQx5sEVeJ6hHHw0ebtHLMzh2vXmOJ42A4tpZ70IOtJY6HjYdWy5j00CpxkF6vOMgPqrdozckN6UVcReswJeskYhiBbEMCuQmk30LE+Pw2IpLgJwmQAAmQAAmQQNcJcE9E10cA859FIN0LMasyhMC9ESkRnpMACZAACZAACXSFgN4TwUlEV3qdeZoIvOMd7wh33XVXre3+/fvD4sWLa21YSQIkQAIkQAIkQAKTRkBPIrIuZ7KsyULrulC9dJaHjYdWixYPrRIH6fWKg/ygeovWnNzK9K5evTrEP9ESj+Pnv/zLv8jlfinz0a985gDZoHpxY7HhOEjJ27ghtoirtX9QHFRvidMmrZIP0uvBxMLNEgdp9Ypj0YJsPLTmzAfpRflatFpsLHGQVq84Fi3IxkNrznyQXpSvRavFxhIHafWKY9GCbCxaRe+gJeskIhUnSevE9XG0RddSH7Gd/kxtkM/YVtulPqKN/kxtdPtoh65ZfWg/+ljipD7KYqc2qY8yP6lN6mMS4lx44YXhb//2b/t/ktPFF1/cP5fjxx9/PKY6a/zGiymXLnBLcxQW+hpiEu3TNpFpWX2sS9uk59EufiItab1up4+bGkc0ptr0uc5BH2sbfVxlwzhz/60lt7lM9PjRx5qVPq6yadp4izqjLp2DPo526JrUl9nE9qOKUxYz1ZLapPVRo7ZLbXSdttfX9XFZvrqdPtbt9LHVRtpUtbP6ELvUT+ozrde+9bFup4+tNlVxYnvPTy5n8qRJXxNHQH9tN3HJMSESIAESIAESIAESGICAfi4a6zcRA2imKQmQAAmQAAmQAAmQAAmQQEMIcBLRkI6gDBIgARIgARIgARIgARJoC4GskwjLxo6y9V8aJqoXWw8bD60WLR5aJQ7S6xUH+UH1Fq05uVn0ip66YvGBbFC9xLfYcBzM7SkLN2SDuFr7B8VB9ZY4bdIq+SC9Hkws3CxxkFavOBYtyMZDa858kF6Ur0WrxcYSB2n1imPRgmw8tObMB+lF+Vq0WmwscZBWrzgWLcjGolX0DlqyTiIGFUd7EiABEiABEiABEiABEiCB5hHgxurm9QkVNYiA3kDUIFmUQgIkQAIkQAIkQALZCejnIn4TkR0/A5IACZAACZAACZAACZBAuwlknUSka7JkDZdex5WeC1pdH8/1tVG1Ea054qT60XkVA8029VHVxpJfnc2wcbTWpmnT+Yo2KfpamnN6Hu3H1UazbZq2lInWOm5uqTZ9LtpEq74mx3Xn48wHaR2ntjJuHAezx5JX/3AcHPu3exT36aBjNvapfMZSdi9orWJXdq6vpT7K2qBxUOWjLs4o22i2o4xTl1/kWGcjdVqrtY32mbNNqlViu5SeKiEEdeZ/OD09DZ3OzMzU2qB6aexh46HVosVDq8RBer3iID+o3qI1Jzek13JPIB858+E4ENqzi0f/IK4S0SOOh482aRVuSK8HE0v/WOIgrV5xLFqQjYfWnPkgvShfi1aLjSUO0uoVx6IF2XhozZkP0ovytWi12FjiIK1ecSxakI1Fq+i1FP1cxD0RLlMxOplUAnrt36TmyLxIgARIgARIgARIwEJAPxdlXc5kEUcbEiABEiABEiABEiABEiCBZhPIOomwrMlK14ul+FC92HvYeGi1aPHQKnGQXq84yA+qt2jNyc2iV/TUFYsPZIPqJb7FhuNgbk9ZuCEbxNXaPygOqrfEaZNWyQfp9WBi4WaJg7R6xbFoQTYeWnPmg/SifC1aLTaWOEirVxyLFmTjoTVnPkgvytei1WJjiYO0esWxaEE2Fq2id9CSdRIxqDjakwAJkAAJkAAJkAAJkAAJNI8A90Q0r0+oqEEE9Nq/BsmiFBIgARIgARIgARLITkA/F/GbiOz4GZAESIAESIAESIAESIAE2k2Ak4h29x/VkwAJkAAJkAAJkAAJkEB2AlknEenGDtkIojeDpOdCQ9fHc31tVG1Ea444qX50XsVAs019VLWx5FdnM2wcrbVp2nS+ok2KvpbmnJ5H+3G10Wybpi1lorWOm1uqTZ+LNtGqr8lx3fk480Fax6mtjBvHweyx5NU/HAfH/u0exX066JiNfSqfsZTdC1qr2JWd62upj7I2aBxU+aiLM8o2mu0o49TlFznW2Uid1mpto33mbJNqldguRb9YQr9AQl/3Ora87AK9MAPVi1YPGw+tFi0eWiUO0usVB/lB9RatObkhvZZ7AvnImQ/HgdCeXTz6B3GViB5xPHy0SatwQ3o9mFj6xxIHafWKY9GCbDy05swH6UX5WrRabCxxkFavOBYtyMZDa858kF6Ur0WrxcYSB2n1imPRgmwsWkWvpejnIm6sdpmK0cmkEtAbiCY1R+ZFAiRAAiRAAiRAAhYC+rko63ImizjakAAJkAAJkAAJkAAJkAAJNJtA1kmEZU1Wul4sxYfqxd7DxkOrRYuHVomD9HrFQX5QvUVrTm4WvaKnrlh8IBtUL/EtNhwHc3vKwg3ZIK7W/kFxUL0lTpu0Sj5IrwcTCzdLHKTVK45FC7Lx0JozH6QX5WvRarGxxEFaveJYtCAbD60580F6Ub4WrRYbSxyk1SuORQuysWgVvYOWrJOIQcXRngRIgARIgARIgARIgARIoHkEuCeieX1CRQ0ioNf+NUgWpZAACZAACZAACZBAdgL6uYjfRGTHz4AkQAIkQAIkQAIkQAIk0G4CWScRljVZaF0Xqpfu8LDx0GrR4qFV4iC9XnGQH1Rv0ZqTm0Wv6KkrFh/IBtVLfIsNx8HcnrJwQzaIq7V/UBxUb4nTJq2SD9LrwcTCzRIHafWKY9GCbDy05swH6UX5WrRabCxxkFavOBYtyMZDa858kF6Ur0WrxcYSB2n1imPRgmwsWkXvoCXrJCIVJ0nrxPVxtEXXUh+xnf5MbZDP2FbbpT6ijf5MbXT7aIeuWX1oP/pY4qQ+ymKnNqmPMj+pTeqDcY4RSLmQ29wxmTLheIt3z+zJIhpLZdzitegx9aGv62PdJ/q4ykauazvGmc2D3CKBY591Y0XXxVZl40nbldVL2zobXTffOLF9jKl96+Noh65JfZlNbD+qOGUxUy2pTVofNWq71EbXaXt9XR+X5avb6WPdTh9bbaRNVTurD7FL/aQ+03rtWx/rdvrYalMVJ7b3/OSeCE+a9DVxBPTav4lLjgmRAAmQAAmQAAmQwAAE9HPRWL+JGEAzTUmABEiABEiABEiABEiABBpCgJOIhnQEZZAACZAACZAACZAACZBAWwhknURYNnaUrf/SMFG92HrYeGi1aPHQKnGQXq84yA+qt2jNyc2iV/TUFYsPZIPqJb7FhuNgbk9ZuCEbxNXaPygOqrfEaZNWyQfp9WBi4WaJg7R6xbFoQTYeWnPmg/SifC1aLTaWOEirVxyLFmTjoTVnPkgvytei1WJjiYO0esWxaEE2Fq2id9CSdRIxqDjakwAJkAAJkAAJkAAJkAAJNI8AN1Y3r0+oqEEE9AaiBsmiFBIgARIgARIgARLITkA/F/GbiOz4GZAESIAESIAESIAESIAE2k0g6yQiXZMl5/paei5odX0819cmvU1VfnUM2ObYuNGMLGOnjFtsJ59SUpv03GLDNnM5klsxvOD44tjh2Cm7V8qupWMlPWeb+d1zx1rbfETWTWzDcdGdf1P0+HM77qkSQlBn/ofT09PQ6czMTK0NqpfGHjYeWi1aPLRKHKTXKw7yg+otWnNyQ3ot9wTykTMfjgOhPbt49A/iKhE94nj4aJNW4Yb0ejCx9I8lDtLqFceiBdl4aM2ZD9KL8rVotdhY4iCtXnEsWpCNh9ac+SC9KF+LVouNJQ7S6hXHogXZWLSKXkvRz0XcE+E2HaOjSSSg1/5NYn7MiQRIgHxYIEYAACAASURBVARIgARIgASsBPRzUdblTFaBtCMBEiABEiABEiABEiABEmgugayTCFl7hwr6rVtUL/49bDy0WrR4aJU4SK9XHOQH1Vu05uRm0St66orFB7JB9RLfYsNxMLenLNyQDeJq7R8UB9Vb4rRJq+SD9HowsXCzxEFaveJYtCAbD60580F6Ub4WrRYbSxyk1SuORQuy8dCaMx+kF+Vr0WqxscRBWr3iWLQgG4tW0TtoyTqJGFQc7UmABEiABEiABEiABEiABJpHgHsimtcnVNQgAnrtX4NkUQoJkAAJkAAJkAAJZCegn4v4TUR2/AxIAiRAAiRAAiRAAiRAAu0mwElEu/uP6kmABEiABEiABEiABEggO4Gsk4h0Y4dsBNGbQdJzoaHr47m+Nqo2ojVHnFQ/Oq9ioNmmPqraWPKrsxk2jtbaNG06X9EmRV9Lc07Po/242mi2TdOWMtFax80t1abPRZto1dfkuO58nPkgrePUVsaN42D2WPLqH46DY/92j+I+HXTMxj6Vz1jK7gWtVezKzvW11EdZGzQOqnzUxRllG812lHHq8osc62ykTmu1ttE+c7ZJtUpsl6JfLKFfIKGvex1bXnaBXpiB6kWrh42HVosWD60SB+n1ioP8oHqL1pzckF7LPYF85MyH40Bozy4e/YO4SkSPOB4+2qRVuCG9Hkws/WOJg7R6xbFoQTYeWnPmg/SifC1aLTaWOEirVxyLFmTjoTVnPkgvytei1WJjiYO0esWxaEE2Fq2i11L0cxE3VrtMxehkUgnoDUSTmiPzIgESIAESIAESIAELAf1clHU5k0UcbUiABEiABEiABEiABEiABJpNIOskwrImK10vluJD9WLvYeOh1aLFQ6vEQXq94iA/qN6iNSc3i17RU1csPpANqpf4FhuOg7k9ZeGGbBBXa/+gOKjeEqdNWiUfpNeDiYWbJQ7S6hXHogXZeGjNmQ/Si/K1aLXYWOIgrV5xLFqQjYfWnPkgvShfi1aLjSUO0uoVx6IF2Vi0it5BS9ZJxKDiaE8CJEACJEACJEACJEACJNA8AtwT0bw+oaIGEdBr/xoki1JIgARIgARIgARIIDsB/VzEbyKy42dAEiABEiABEiABEiABEmg3gayTCMuaLLSuC9VLd3jYeGi1aPHQKnGQXq84yA+qt2jNyc2iV/TUFYsPZIPqJb7FhuNgbk9ZuCEbxNXaPygOqrfEaZNWyQfp9WBi4WaJg7R6xbFoQTYeWnPmg/SifC1aLTaWOEirVxyLFmTjoTVnPkgvytei1WJjiYO0esWxaEE2Fq2id9CSdRKRipOkdeL6ONqia6mP2E5/pjbIZ2yr7VIf0UZ/pja6fbRD16w+tB99LHFSH2WxU5vUR5mf1Cb1wTjHCKRcyG3umEyZcLzFu2f2ZBGNpTJu8Vr0mPrQ1/Wx7hN9XGUj17Ud48zmQW6RwLHPurGi62KrsvGk7crqpW2dja6bb5zYPsbUvvVxtEPXpL7MJrYfVZyymKmW1Catjxq1XWqj67S9vq6Py/LV7fSxbqePrTbSpqqd1YfYpX5Sn2m99q2PdTt9bLWpihPbe35yT4QnTfqaOAJ67d/EJceESIAESIAESIAESGAAAvq5aKzfRAygmaYkQAIkQAIkQAIkQAIkQAINIcBJREM6gjJIgARIgARIgARIgARIoC0Esk4iLBs7ytZ/aZioXmw9bDy0WrR4aJU4SK9XHOQH1Vu05uRm0St66orFB7JB9RLfYsNxMLenLNyQDeJq7R8UB9Vb4rRJq+SD9HowsXCzxEFaveJYtCAbD60580F6Ub4WrRYbSxyk1SuORQuy8dCaMx+kF+Vr0WqxscRBWr3iWLQgG4tW0TtoyTqJGFQc7UmABEiABEiABEiABEiABJpHgBurm9cnVNQgAnoDUYNkUQoJkAAJkAAJkAAJZCegn4v4TUR2/AxIAiRAAiRAAiRAAiRAAu0mkHUSka7JkjVceh1Xei5odX0819dG1Ua05oiT6kfnVQw029RHVRtLfnU2w8bRWpumTecr2qToa2nO6Xm0H1cbzbZp2lImWuu4uaXa9LloE636mhzXnY8zH6R1nNrKuHEczB5LXv3DcXDs3+5R3KeDjtnYp/IZS9m9oLWKXdm5vpb6KGuDxkGVj7o4o2yj2Y4yTl1+kWOdjdRprdY22mfONqlWie1SeqqEENSZ/+H09DR0OjMzU2uD6qWxh42HVosWD60SB+n1ioP8oHqL1pzckF7LPYF85MyH40Bozy4e/YO4SkSPOB4+2qRVuCG9Hkws/WOJg7R6xbFoQTYeWnPmg/SifC1aLTaWOEirVxyLFmTjoTVnPkgvytei1WJjiYO0esWxaEE2Fq2i11L0c9Ho90Q8cSDc/8WdYfvmPw43PXD42MTnvGvDHf/5d8JFv7UsnJb1uxCXeReddIiAXvvXobSZKgmQAAmQAAmQAAnMIaCfi0b6CP/04S+F63/rvPDOe54IF9z6qHzNEXq9/wiP3fKa8KO7LwsL3/ihcP/hn88RyAskQAIkQAIkQAIkQAIkQALNJTC6ScQTe8KfXro2fPrlW8LXPnV1+E+LX/DM+rFnh9OWXRyu+a93hJvDreGd038ffvD0cUDperHjNceOUL1YedhY1o95xPHwITkjvV5xkB9Ub9Fq6UNLHC8b0VNXPOJ4+BCNHAdze8qDLeIqUT3iePhok1aO2bnj1WsscRwMx9ZyD3qwtcTxsPHQahmTHlolDtLrFQf5QfUWrTm5Ib2Iq2gdpoxoEvF0+OmebeFPHzg33HDdb4ZfK4ty0jlh/QcvC+GTHwn/5YHHh9HONiRAAiRAAiRAAiRAAiRAAmMgMKI9EY+H+6+7MLzxMyvDfY/eEM5/QdksIoTw0/vDdWe+MXzmXfeFR288P7xgDAAYkgTqCOi1f3V2rCMBEiABEiABEiCBSSegn4sqnu7nieDpx8N3H34shLNeEV5yEg5x+OHvhv+pljTNMzqbkwAJkAAJkAAJkAAJkAAJjJAAfsIfYXC6JgESIAESIAESIAESIAESaB+B0UwiTjwlnL50YQiPfDt8/4njXzGkGzs+8/98Kfx/T4Vw2tLTw4tPnPtiGMGZbhaRc30tPfdqI1pzxEn1o/OYX6pNs019VLVJfejzUbbRWkcZxyOfqE8+paRs03OLzSjbaLajjCO+Yxk2jtY6bm4oH9FaZzMsA+3TiwHS6hUnzTk9t8bhOJj93zQrNzR2OA5G9+/1oGM29ql8xpLeL+m52KE+trRB46DKh46d2qTnUatHG812lHHqtFrz0VqtbXTcnG1SrRLbpegXS+gXSOjrgx//ovdv9/1R77Tw9t4d+5/qN5/9sotos6x37X0/7NugF2agenHkYTNba1/erAOPOB4+RBTS6xUH+UH1Fq1ig/ygeosPi43lnvDQ4uHDwtYrDvKD6i1aLf1jieNhg+4vi1aLTde0WsaBBxMv9h7jIFc+Hlq9uFlyRnotPjxsLD6Q1pzckF4PrTnzQXpRvhatFhtLHKTVK45FC7KxaBW9lqKfi0a0sTqE8MSecMtvrQ5/Kj/xevvFc3+hCdW7TJHohATmR0BvIJqfJ7YmARIgARIgARIggXYT0M9Fo1nOJHxOenV4/113hsu+c2WY+r2PhS8d+Okz1H4eDn/97nDLe34/bAhXhD+/4S1zJxjt5kv1JEACJEACJEACJEACJDDRBEY3iQghnHjafwofue/r4b9ffFL4xyvODDJ7OeGE54SF13w1LLj40+Gx+/44nH/as2cBTteLzaosWSOY1ss58mGxsawf84jj4UPyQXq94iA/qN6i1dI/ljheNqKnrnjE8fAhGjkO5vaUB1vEVaJ6xPHw0SatHLNzx6vXWOI4GI6t5R70YGuJ42HjodUyJj20Shyk1ysO8oPqLVpzckN6EVfROkx51jCNBmpz4mlh2ap1xd+zP/jB8OEPf3ig5jQmARIgARIgARIgARIgARJoFoHR7YloVp5UQwJDEdBr/4ZywEYkQAIkQAIkQAIkMCEE9HPRSJczTQgvpkECJEACJEACJEACJEACJKAIZJ1EvO1tbws/+tGPVPi5h2hdF6oXjx42lvVjHnE8fEjOSK9XHOQH1Vu0WvrQEsfLRvTUFY84Hj5EI8fB3J7yYIu4SlSPOB4+2qSVY3buePUaSxwHw7G13IMebC1xPGw8tFrGpIdWiYP0esVBflC9RWtObkgv4ipahynZJhEHDhwI27ZtC7/+678efvM3fzNs2bIlXHbZZeGaa67p65YkxU6XNHGp19fkWJ9L2zIf2kaOy2x0XDlO2+hzrzgonyqtWos+jrrTa15xNDeJMUycMs7ajxx7xNE+yrhY4sR2UbO0qdMa7etsUh/Sxqt/os4yHZ5xNNth89Fay/SKX4842sewcWK7qDnNOdUa7eV6LKlN6kPsPMZBjK3jah1ecZBWa5yoM36mXLzioHFgiSMaNctUq5x7xEFaLHGQVqn3iIN8WOOInS4pW6844keXYeLo9nKc+qjqH93Omo9uM0ycqC/6sfoQu1jSfFIfYofySX1Im9SPnOuS1nvG0eNg2DhaqxynfuTcI472MWycVKvXebY9Eddee224+eabiwnED37wg3DFFVeEH//4x8XEYuHCheGCCy4IZ599dliyZElYsGCBV370QwLzIqDX/s3LERuTAAmQAAmQAAmQQMsJ6OeiLN9EyCzqgQceKLD98i//cvjQhz4UPvWpT4WXvOQlYc+ePcW3EosXLw47d+4MF154YVi9enVx7cEHH4TLn1reF5RPAiRAAiRAAiRAAiRAAq0jkOWbCPkW4rWvfW245JJLwu7du8M999wT/vAP/zBcd911BbAbb7xx1rcP3//+98M3v/nNsHfvXn5T0bohNVmC9Yx7sjJjNiRAAiRAAiRAAiQwGAH9XDTybyLitxAXXXRRofL1r399sUbs8ccfD7fffntYvnx58e3Dww8/XNTL5hD5hmLlypXh+uuvn/NNxdTUFPymAm0wkUDIRtayoYJ8WOJ4+JA4SK9XHOQH1Vu05uRm0St66orFB7JB9RLfYsNxMLenLNyQDeJq7R8UB9Vb4rRJq+SD9HowsXCzxEFaveJYtCAbD60580F6Ub4WrRYbSxyk1SuORQuy8dCaMx+kF+Vr0WqxscRBWr3iWLQgG4tW0TtoGfnL5j7xiU8U3zo873nP62vbsGFDkOs33XRTWLNmTXjVq14V1q9fH6688srirdZ9w2cOZFIRJxaLFi0KK1asKL6pkOVPV199dUj3VKTteU4CJEACJEACJEACJEACJOBHYKTLmeRbiHe+853FXgeZROivQGTfg0wiZC+EFPnp16rlTShdLn9ChFg/LAE9Zof1wXYkQAIkQAIkQAIkMAkE9HPRSCcRcS/ExRdfXHDTgWXTtOyNkImELjMzM8Wm6ttuuy0sXbpUV5mPOakwo6IhIKDHLDBlNQmQAAmQAAmQAAlMNAH9XDSyPRHyIC+/yBT3QqREZW/EfffdF/7sz/6sXyVrukScTCBkeZNMKNJ1XnKur6Xn4mzHjh2z9lTI8qeDBw/2f/1p2bJlYe3atUH/+pP2KT5k/Zi+VhZH10ub1CY9jzbyGUtqg86lXZmNXu+W1le1EbtYcrbRWpumTTPRbPSxtsnJTcet4qbZNk2b1i/HWmtVPmkbfZ6zjWjVseW47jyntlQL0jpObalWOec4mD2WvPqH46D8v5X6vh2W9aBjNsaRz1jK7oUybdFePodpg8ZB6tMSZ5RtNNtRxhHfsQwbR2sdNzeUT6o15j7vz54qIQR1Nr/DJ598snfo0KFZTlL/R48e7YmdLjMzM8Wp1F1++eXFnxzHEuvjedknshFdGzZs6G3atKk3NTXVW7VqVW/z5s293bt392Ks6enpMtezrqE4YoxsUL3Fh9ggvV5xkB9Ub9FqydkSx8MmHbOiLS0ecTx8iC6Og7R38D0oLRB/xNXiw2KDdFh8tEmr5IP0ejCxcLPEQVq94li0IBsPrTnzQXpRvhatFhtLHKTVK45FC7Lx0JozH6QX5WvRarGxxEFaveJYtCAbi1bRayn6uWiky5nSGY7+CiStqzr3WN5U5Tte5/KnSIKfKYFhxmzqg+ckQAIkQAIkQAIkMAkE9HNR4ycRAlx+/jX+epP8mtOoCycVoybcHv/6ZmmPaiolARIgARIgARIgAX8C+rloZHsihpWt13VFH7LB+t577w27du0K5513HnyLdZmP6Ct+1tnIz8lKrLL3VOg3am/cuHHeWup0WLRGG7TezSsO8oPqRS/SKjbID6q3+LDaiF1d8dDi4UM0IrZecZAfVG/RKjbID6q3+LDYIK4WHxYbj3zapFWYIL0eTLzYI61ecTxy9tCaMx+k14OJVz5Iq1ccj5w9tObMB+n1YOKVD9LqFccjZ4tW0TtoadwkoiqBBQsWFC+nO+OMM2a9nK7K3vN6fEdFOqnYt29foUV+rnbLli2zNmp7xqcvEiABEiABEiABEiABEmgSgVYsZ0qB5V7elMZPz7n8KSUyOef6a7vJyYqZkAAJkAAJkAAJkMDgBPRzUSsnEZLyfF5ONziywVpwUjEYryZb65ulyTqpjQRIgARIgARIgARGTUA/F7V2EhEh5fj1phhr2E9OKoYlN/52+mYZvxoqIAESIAESIAESIIHxEdDPRWPdEyGbRfSGkfRcEOn6eK6vSTJvfetb+y+nizYab+o3PS9rI5tQdBxLm9Qmnus9FVdddVWxf2Lx4sXFy++mpqaCvPwu7qnYunWrKW6qTW+aiXEHYZCzjdYa2af51J3nbBNjRZYpp/Q82tfpH2UbzXaUceryszLQWq1tdNycbUSrjp2yTc9zaktjI63j1JZqlXOOg9n/HfTqH44D+8vZZBzGUjZGdb3YDTpmY5/GGPFc+03jRpv5tkHjoCpunbZRttFsRxmnLr/Ivs5G6rRWaxvtM2ebVKseV/M5bv03ETH5Ji9vihqrPvlNRRWZ8V/XM+7xq6ECEiABEiABEiABEhgfAf1cNDGTiIizDcubotaqT04qqsjkv65vlvzRGZEESIAESIAESIAEmkNAPxdN3CRCMDft15vm2/WcVMyX4PDt9c0yvBe2JAESIAESIAESIIH2E9DPRWPdE1GGMl0vltqgerF/5JFH+i+nW7duXekL4ZAfy/ox5EO0IBtULz527NgRVq5cWfvyu4suuqj2PRWWOB42Fh8ebC1xvGzSMZiee8Tx8CG6EFuvOMgPqrdoFRvkB9VbfFhsEFeLD4uNRz5t0ipMkF4PJl7skVavOB45e2jNmQ/S68HEKx+k1SuOR84eWnPmg/R6MPHKB2n1iuORs0Wr6B20NG4SMWgCVfbx5XTLly/P/nK6Kk1e1/VG7T179hSbsiXfnTt38uV3XpDphwRIgARIgARIgARIoJLARC5nSrOdtOVNaX7pOZc/pUSGP9df2w3vhS1JgARIgARIgARIoP0E9HNRJyYR0mVt/vWm+Q45TiqGJ6hvluG9sCUJkAAJkAAJkAAJtJ+Afi5q3HImtPYL1Uv3lNmky5tuuOGG2p60rB8ri5M6RTaoviqfNE6dXln+dOTIkdo9FfKeio0bN5buH9GxkF5UL77qtMZYyA+qFz9eNlFT1adHHA8fog+x9YqD/KB6i1axQX5QvcWHxQZxtfiw2Hjk0yatwgTp9WDixR5p9YrjkbOH1pz5IL0eTLzyQVq94njk7KE1Zz5IrwcTr3yQVq84HjlbtIreQctYJxECRsPRxzERdC31EdvpT22zZs2a4uV0n/rUp4L8HGws3nHEL/JZFltrrfOhfevj2Ca9Fq/LZ5xULFq0KMQ9FQcPHgz79u2btadCJhXy8rtYUp9ynl7TceKxttHH2q++ro/LfOh2+li308dWG2lT1c7qQ+xSP6nPtF771se6nT622jBO9T2oeerjsv7TvPWxbqePrTbSpqqd1YfYlfnRfsvqYzvGOf6SMcREs9LHKetYFz/L+Kdt9Llup4+1jT6uspHr2k6O9blup4+1jT6usulqnMgj5q9Z6eNoh65JfZlNbD+qOGUxUy2pTVofNWq71EbXaXt9XR+X5avb6WPdTh9bbaRNVTurD7FL/aQ+03rtWx/rdvrYalMVJ7b3/OzMcqYUWpeXN6Us0nMufzpORH9td/wqj0iABEiABEiABEigewT0c1FnJxGx2yfh5XQxl1F9dnlSoW+WUfGlXxIgARIgARIgARJoAwH9XNT5SYR0WNd+vWm+g7RLkwp9s8yXG9uTAAmQAAmQAAm0lcDT4af3T4cz3/jRcFinsPKOsP8L7w6Lx7pBQAsa7bF+LmpcymXrvzQOVC+2g9osXbp0zsvpLJtQBo2j84jHHj7EF9LrFUf8lL2nYvHixcV7KqampsLq1auLd1c8+OCDpRu1kVZLH3rmE/ti2E8PLR4+co+DOl6WfNo0Djy0Ci/EBdVbfLRJK8ds+V3EcTCXiwcTy/1jieNxj1nieNh4aPXiZskH6bX48LAp93FieMH5HwmP9Z4K++94ewhhSbhj/1Oht716AlHu5/j4RvUW9hYbxPW4osGO+E1EwovLmxIgQ5xO0jcVesY9BAo2IQESIAESIAESmCgC/x4OfHJNOOP3Q7hj/0x49+LnTlR2KBn9XMRJRAktLm8qgTKPS22eVOibZR4I2JQESIAESIAESGAiCHAS0ev1ip7kJKJiQPPXmyrAOFxu06SCkwiHDqcLEiABEiABEpgYApxExEnEWPdEyFowvR4sPZfxpuvjub42qjYf+9jHwhve8IawfPny4t0J8nI6HTdq0fdEqiU9H6ZNlQ+tRY71ejdrm9SHPo9a9bXUb3pubXPrrbeGlStX9l9+t2LFiiDvqdi5c2fBetmyZWHt2rUh7qkYNo7WbtWWtont5FNKqiU9t9iMsk2bxoHWOm5uut/L+ke01tmUtUmvoXMvBkirVxyvfDgOZv930Kt/OA5G9+/1oGM29ql8xmK9f6K9fA7TBo2D1KclzijbaLajjCO+Yxkmzj3/43shhG9EF8Vn6gedSyNkk9YP20ZznSV6vic9VUII6sz/0OJ/ZmamNjCql8YeNtPT030dDz30UG9qaqp355139q95xfHQKlq03lkinznxioP8oHqL1kOHDvU2bNjQ27RpU8F91apVvc2bN/d2797dO3r0aJGRJY6HjceYFcFIC6q3+LCw9YqD/KB6i1ZLzpY4Hjbo/rJotdh0TatlHHgw8WLvMQ5y5eOh1YubJWek1+LDw8biA2nNyQ3p9dCaMx+kF+Vr0WqxqY/zVG//HW/vhbCkd8f+p8RdZan3g58NxDHyYbFBXCsTKKnQz0VczmSchXF5kxHUCMzGufyJy5lG0KF0SQIkQAIkQAKtJcDlTHE5EycRAw5i/nrTgMBGYJ5zUsFJxAg6kC5JgARIgARIoLUEOImIk4ix7okoGz+y/quuoHpp62FTtX5szZo14bbbbgvr168PV1xxRZ3Uog5pQfXWfKr0RoFecZAfVC96kFaUs7yn4siRI/09FVu2bAnxPRUXXnhh/z0VGzduLH1PRWSC4mi7umNLzsgG1Vu1IrZecZAfVC/5IK2WnC1xPGw8tObKp01aLePAo/+82HuwzZWPh1YvbpackV6LDw8biw+kNSc3pNdDa858kF6Ur0WrxcYSJ90TIX7TgvygevHnYYO4prqt542bRFiFj9Muvpxu//79Yd26dfBBdZxauxC76uV3+/btKzZqo5ffdYERcyQBEiABEiABEiABTwJczjRPmlzeNE+AGZrPZ/kTlzNl6CCGIAESIAESIIHGE3g6/PT+6XDmGz8aDmutK+8I+79Q/dZqbToJx/q5iJMIhx7ly+kcIGZ0McikQt8sGSUyFAmQAAmQAAmQAAk0joB+LuIkwql7+OtNTiDH4KZuUnHuuefK7x6PQRVDkgAJkAAJkAAJkECzCIx1EtEsFFRDAiRAAiRAAiRAAiRAApNNwOv/ENWTiGflROaVQE7Nw8Ti8qZhqDWzjdwshw4dCt/85jfD3r17w7Zt28LChQvDBRdcEM4+++ywZMmSsGDBgmaKpyoSIAESIAESIIGRENAP0yMJ0AKnWZcztYCHm0Qub3JDOVZHZf9I1C1/4qRirN3F4CRAAiRAAiSQhUDZ80GWwGMOovPmJGLEncFfbxox4BG71zdLVShOKqrI8DoJkAAJkAAJTCYBy/PBJGau8876ngjLyy7QSzVQvXSYh42HVtEisOPL6WRCkRYPreIT6fWKg/ygeotWsUF+UL3Fh9VG7OrKjh07wsqVK2tffrd27drw4IMPVr5TxCsfjoO5PeXBFnGVqB5xPHy0SatwQ3o9mFj6xxIHafWKY9GCbDy05swH6UX5WrRabCxxkFavOBYtyMZDa858kF6Ur0WrxcYSR/yggvygevHvYYO4ojyq6rNOIqpETPr1+HK6Xbt28eV0k97ZIYSyl9+deuqpYefOnXz5XQf6nymSAAmQAAmQQBcIcDlT5l7m8qbMwOcZTn9tN09X/eZc/tRHwQMSIAESIAESaCWBUTwftAGEzpuTiDH0GH+9aQzQhwypb5YhXcBmnFRARDQgARIgARIggUYRyPF80KiEnxGj8866nMmyJgut/UL1kqOHjYfWKi16edN5551XuU4+Dh5LPkivxYeHjcUH0lrFLfKw1Hva6Lhlx5ac62xk+dORI0dq91Rs2bIlbNy4EY4VxLZOR8zNw8biA2m19KEljoeNh9Zc+bRJqzBBej36z4s90uoVxyNnD60580F6PZh45YO0esXxyNlDa858kF4PJl75iB9UkF5UL/49bBBXlEdVfdZJRCpCwGg4+jjaomupj9hOf6Y2yGdsq+1SH9FGf6Y2un20i9fk3QK33357OOOMM8LU1FSQbyekWH1EP7FN9B/PdX2s09cYZ+6NmTIZF7c4Zsh1fAAAIABJREFUqVi0aFHYs2dPkAnEwYMHw759+2btqZBJxdatW6PMWfcSx8ExLHrMR1BpP6c2ab1up491O31stRlVHImv9TDObB5V/UNuw/33p6vc4jiK+af3nK6PNnXXqu5T3Sa10TGjHbpm9aH96OOYS3otXtc6tI0+ttpIm6p2Vh9Rl/ajj8vqtW99rNvpY6uNtKlqZ/Uhdqmf1GdaH32P4pPLmUZBdUCfXN40ILCM5vpru4xha0Nx+VMtHlaSAAmQAAmQwMgJNPH5YORJP/Oro/Hl0ZxE5CBuiMGX0xkgjcGkDf9IcFIxhoHBkCRAAiRAAp0m0Ibng1F0kM6bk4hREJ6HT/560zzgjaCpvllG4H4kLjmpGAlWOiUBEiABEiCBPoE2Ph/0xc/jQOeddU+EZWNHurYrzRPVi72HjYdWi5ZU65o1a+a8nC61SZnIOdJr8eFhY/GBtA7DrYyJRYvFpsy3vmbxgWxQvYWJ2AjbsvdULF68uHhPhey/Wb16dbHPourldx5aLD7aNA48tFr60MIN2bRJaxyz8llVUL7SzsPG4sODrSWOh42HVgtbD60SB+n1ioP8oHqL1pzckF7E1aLVYoN0WHyIDdLrFQf5QfWi1VKQH1QvMTxsEFdLLmU2/CaijEoDrnF5UwM6IVn71wxF81fBbyrmz5AeSIAESIAEuk1A/z/yXSKh8+YkouE9z+VN4+0gfbOMV8noonNSMTq29EwCJEACJDCZBLrwfFDWczpvTiLKCDXsGn+9aXwdom+W8anIG5mTiry8GY0ESIAESKB9BLr4fCC9pPMe654IWeel13ql5yJW18dzfW1UbWT9WI44qf6y80ceeSTce++9YdeuXWHdunXFuwFSbXq9W+rDwi1nG621ado0V9EmRV9LOaXn0X5cbTTbYbXt2LEjrFy5sv/yuxUrVhTvqdi5c2fxnoply5aFtWvXhrinYtg4Wuu4udX1l2gTrXU2wzLQPr0YIK1ecdKc03NrHI6D2f8dtHJDY4fj4Ni/3ZrTsGNU+5D+GXTMxj6Vz1hSLem52KVxU5v0vKwNGgdVPnTs1CY9j3E92mi2o4xTp9Waj9jpkupF59IW2aT1w7bRXLXmeR/3VAkhqDP/w+npaeh0Zmam1gbVS2MPGw+tFi2Dar3zzjt7U1NTvYceemgWJ6R30DiznKsT5AfViyukVWyQH1Rv8WGxsdwTHlo8fFjYesQ5dOhQb8OGDb1NmzYVY3HVqlW9zZs393bv3t07evSoyID9Z9Fq8eORjyWOx5i1xPHIp01aLePAg4kXew+2ufLx0OrFzZIz0mvx4WFj8YG05uSG9HpozZkP0ovytWi12FjieDwfWOJ42CCuwsRadN5czjTvaVh+B1zelI+5/touX9R2ReLyp3b1F9WSAAmQAAnMn0BXnw903pxEzH8cjcUDf70pD3Z9s+SJ2P4onFS0vw+ZAQmQAAmQQD2Brj4f6LzHuieirHtk/VddQfXS1sPGsn7MI86wPhYsWBBuv/32sHz58mKd+vr16+uwuTCxsLXk48HWEsfLphas03jz0orYesWp8yPvqThy5Eh/T8WWLVtCfE/FhRde2H9PxWWXXRZkMlxX6uJYxqOXDeLqFQfla4nTJq2SD9LrwcTCzRIHafWKY9GCbDy05swH6UX5WrRabCxxkFavOBYtyMZDa858kF6Ur0WrxcYSR/yggvygevHvYYO4ojyq6p9VVcHr7SAgL6d71ateFd785jcH+TlYOWchgSYRkEmFfgFe/Kbi7rvvLibACxcuDBdccEE4++yzw5IlS4JMkFlIgARIgARIgASaTYDLmZrdP2Z1XN5kRjWQof7abqCGNDYTiJOKvXv3hm3btgVOKszoaEgCJEACJDAmAl19PtB5cxIxpsE3qrB8OZ0vWX2z+HqmtyoCnFRUkeF1EiABEiCBphDo6vOBzpuTiKaMRkcd/PUmP5j6ZvHzSk+DEOCkYhBatCUBEiABEshBoKvPBzrvsW6sls0iesNIei6DQNfHc31tVG1kE0qOOKl+dF7FQG+akZfT/d7v/V7/5XSy1An5Teur4ohdLMO20VpHGUdrHTZObFeV87AMPLSlseVcs03rYy46dmqTno+yjdZaFyfup1i0aFG46qqrgt6oPTU1FeTld3JNXn63detW0307KAPROmiblCU6r2MgdVJSH2XXkNayNqnf9HyUbazjQDRIyalNYumC2I5TWxobaS1jmfpIz0fZpm3jQI+LlFN6HrmNow0aB1Va5XosqU16HvPzaKPHwSjj1Gm15hP5xM9ULzq3xtFah22juUa9Hp/8JsKDYoN9cHnT/DpHz7jn54mtR0WA31SMiiz9kgAJkAAJVBHo6vOBzpuTiKrRMUHXubxp+M7UN8vwXtgyJwFOKnLSZiwSIAES6CaBrj4f6Lw5iejI2OevNw3X0fpmGc4DW42bACcV4+4BxicBEiCBySPQ1ecDnfdY90SUDal07Vdqg+rF3sPGsn7MI46HD8kZ6f385z8/6+V08u1EWjy0WHwgrZY+tMTxskk5pececTx8iC7E1isO8oPqLVrFBvlB9eJjx44dYeXKlbUvv1u7dm2xp6Lq5XeIq0WrxcaSD7Jpk1ZhgvSifC1cLTaWOEirVxyLFmTjoTVnPkgvytei1WJjiYO0esWxaEE2Hlpz5oP0onwtWi02ljjiBxXkB9WLfw8bxBXlUVWfdRJRJYLX8xGQl9HddtttQd5wLfslWEigawTiRu3rr78+7Nmzp9iUfeqpp4adO3cWL79bvXp1f6N21aSia8yYLwmQAAmQAAmkBLicKSXSkXMub7J1tP7aztaCVm0nwOVPbe9B6icBEiCB0RPo6vOBzpuTiNGPs0ZH4K831XePvlnqLVk7qQQ4qZjUnmVeJEACJDA8ga4+H+i8sy5nsqzJQmu/UL0MBw8bD60WLR5aJQ7SWxVHL2+64oor4N1U5Sc2RPUWrWKD/KB6iw+rjdjVFQ8tHj5E47DjQOfnocXiA2kVTcgPqrf4QDay/GnXrl21eyrkPRUbN24MaPkT0ovqkVap9+BqieOh1aLXKw7yg+otWnNyQ3o5DqQ35hbEDdWLRw+2ljgeNh5aJWekBdVbfFjYesVBflC9aLUU5AfVSwwPG8s4sOST2mSdRKTBBYyGo4+jLbqW+ojt9Gdqg3zGttou9RFt9Gdqo9tHO3TN6kP70ccSJ/VRFlvbLF26tHg53f79+8O6dev6D0LaJvqNvuJ5Gjtej3bIR7TXfvRxWb32rY91O31stZE2Ve2sPsQu9ZP6TOu1b32s2+ljqw3jlP/jm3JJ2ab1mrccy6TiyJEjQV5+F/dUHDx4MOzbt2/WngqZVMjL72IZNI60S7WkPsps4jUdt6pdlU2VfXpdn8uxPte+9bG20cdVNnJd28mxPtft9LG20cdVNozD8abHhj4uGz+xPo4bbaOPox26JvVlNrH9qOKUxUy1pDZpfdSo7VIbXaft9XV9XJavbqePdTt9bLWRNlXtrD7ELvWT+kzrtW99rNvpY6tNVZzY3vOTy5k8aU6ALy5vmt2J+mu72TU8I4FyAlz+VM6FV0mABEhgkgh09flA581JxCSNaKdc+HK64yD1zXL8Ko9IwE6Akwo7K1qSAAmQQFsIdPX5QOfNSURbRmtmnfz1pmPA9c2SuQsYbkIJcFIxoR3LtEiABDpFoKvPBzrvrHsiLBs7ytZ/6VGJ6sXWw8ZDq0WLh1aJg/QOGmfBggWlL6dDflC9RWtObha9oqeuWHwgG1Qv8S023uOgKm+kBdWLX6TVkrMljoeNh9aYT9l7KhYvXly8p2Jqaiqg91SgfDy1VvV/zKWu3mqD9KJ8rXGQH1QvcZBWixZLHA8bD60580F6PZh45YO0esXxyNlDa858kF4PJl75iB9UkF5UL/49bBBXlEdVPb+JqCLD630CXV7epGfcfSA8IIEREuA3FSOES9ckQAIk4ESgq88HOm9OIpwG06S76eryJn2zTHofM79mEuCkopn9QlUkQALdJtDV5wOdNycR3b4HBs6+a7/epG+WgWGxAQmMgAAnFSOASpckQAIkMCCBrj4f6LzHuidC1mjpdVrpufSnro/n+tqkt6nKr47BKNt861vfCrfddltYv359WLVq1cD9M0ptdUwsY6dMW2wnn1JSm/TcYsM2czmSWzG84PiSsXPrrbeGlStX9l9+97KXvSx8+ctfLvZUXHjhheGMM84IF110UXjwwQeLd75wvHG8ld1fZdfSsZKes83x+/TY0fFzYRVLFbdYL5+pTXoebUbdpiquXI8ltUnPo9autYl84mfKBZ3n5hZ1un72VAkhqDP/w+npaeh0Zmam1gbVS2MPGw+tFi0eWiUO0usVJ/o5evRo7/LLLy/+5DiWWB/Pyz6RVmmD/KB6iw+LjeWe8NDi4UPyQWy94iA/qN6i1dI/ljgeNoirRavFxkPre9/73t727dt7mzZt6k1NTfVWrVrV27x5c2/37t29eK96xPHwYRkHXnGQH1Rv0Zqrjy1x2jRmLWwt/eNhY/HhwdYSx8PGQ6tlvHlobds48Hg+8OKG/FjGgfC3FJ03lzO5Tsm652zSlzfpr+2617vMeBIIcPnTJPQicyABEmgaga4+H+i8OYlo2qhsoZ5J/vUmfbO0sGsomQTmEOCkYg4SXiABEiCBgQl09flA5z3WPRFlPYZ+DxfVi08PG722r0ynVxwPraIF6fWKU+Zn6dKl4d577w27du0K5513XrEOu4qZRauFbZmONKaXTeo3PfeI4+FDdI1zHGgulnyQVvGH/KB6iw+LjYdWSxyPfJBWeU/FkSNH+nsqtmzZEuJ7KmRPRXxPxcaNG2vvZQ+twgTp9YqD/KB6i9ZcfWyJg7hafFhsLNwsNkivxYeHjcUH0pqTG9LroTVnPkgvytei1WJjiSN+UEF+UL3497BBXFEeVfVZJxFVIni9/QTiy+lkU6c8iMi3EywkQALNJ1D18rt9+/YV93KcVMSN2s3PiApJgARIgARyEOByphyUOxZjkpY36a/tOtaNTJcECgJc/sSBQAIkQAJzCXT1+UDnzUnE3HHBKw4EJuXldPpmccBCFyTQegKcVLS+C5kACZCAA4GuPh/ovDmJcBhIdFFNoO2/3qRvluosWUMC3SXASUV3+56Zk0CXCXT1+UDnnXVPRLqxQzaL6A0j6bkMTl0fz/W1UbURrTnipPrReRUDzTb1UdXGkl+djSWODLa3vvWtxcvpZEIhbbTWcWpL9afnok2KXI8ltUnPo/242mi2TdOWMtFax80t1abPRZto1dfkuO58nPkgrd7a4p6KRYsWhauuuirojdpTU1Nh2bJlxTXZU7F169Y53DgOZo8lr/7JPQ5Et5T03ii7ltrIedvGwbFsj/1vWT5yTZeyc30t9SFtdX0819csbdA4qPJRF2eUbfQ4GGWcuvwsrHX72M+pXnRujZPGQn7TeomjuUa9Hp/8JsKDIn1AAm1d3qRn3DBJGpAACcwhwG8q5iDhBRIggQkg0NXnA503JxETMJDblELbljfpm6VNnKmVBJpKgJOKpvYMdZEACQxCoKvPBzpvTiIGGTG0dSHQpl9v0jeLS/J0QgIkMIsAJxWzcPCEBEigJQS6+nyg8x7rnoiycZKu/UptUL3Ye9hY1o95xPHwITkjvV5xkB9UL1o/97nP9V9Ot27dutIXWiE/qN5rHIgfVDy0ePgQnW0aB0ir5IO4oHqLD4uNh1ZLHI982qRVmNx6661h5cqVlS+/03sqZFlkWfHgZvHhwdYSx8PGQ2uuMStxkF4PJl75IK1ecTxy9tCaMx+k14OJVz7iBxWkF9WLfw8bxBXlUVWfdRJRJYLXu0cgvpxu+fLlfDld97qfGZNAJYG4Ufv6668Pe/bsCWvWrCl9ozZffleJkBUkQAIkkIUAlzNlwcwgdQSavLxJf21XlwPrSIAE8hDg8qc8nBmFBEignkBXnw903pxE1I8R1mYi0NRfb9I3SyYUDEMCJDAAAU4qBoBFUxIgATcCXX0+0HlnXc5kWZOF1n6hehkdHjYeWi1aPLRKHKTXKw7yg+qrtKbLm2644QYxrSyWOF42lSKeqfCI4+FD5LR9HKSsERdUL/48bBBXrzhd0+oxZmX505EjRyr3VKxevbp4T8XGjRtL91/FMWdh7zEOLHE8bDy0Wsa1h1aPcWDRarGx5OPB1hLHw8ZDqxc3Sz5Ir8WHh43Fh3BBBflB9eLfwwZxRXlU1WedRKQiBIyGo4+jLbqW+ojt9Gdqg3zGttou9RFt9Gdqo9tHO3TN6kP70ccSJ/VRFju1SX2U+UltUh8ecWT9s7yc7lOf+lSQn4Mt0+ERJ/qNvuJ5mmO8Hu3SnKvs9XV9HP2l1+J1xjn+gqaUkZyn18it/H7XnEbFDbHXY1kfp9piXfws05u20ee6nRzHSYW8/E72VMjL7w4ePBj27dtX7L/Skwp5+Z0u2m+ZDrGts9F10W+ZH21XVs84zR/XsX9jX6V9quujTd21qnGg26Q2Oma0Q9esPrQffRxzSa/F61qHttHHVhtpU9XO6iPq0n70cVm99q2PdTt9bLWRNlXtrD7ELvWT+kzro+9RfHI50yio0ue8CTRleZP+2m7eSdEBCZDA2Alw+dPYu4ACSGAiCHT1+UDnzUnERAzlyU1i3C+n0zfL5FJmZiTQXQKcVHS375k5CcyHQFefD3TeWZczWdZkpV/LpB2M6sXew8ZDq0WLh1aJg/R6xUF+UL1Fq+Ymy5tuu+22sH79+v7yJl0vx1XFosViU+U/Xrf4QDaoXmJZbCZ1HETW6aeFiYcN4mrtH6QF1VvitEmr5IP0ejCp4xZ/UlYvf1q8eHHYuXPnrOVP8pOy11xzjbiqLUgvqhfnHjaIq1ccD62iBen1ioP8oHqLVgtbSxwPG8TVotVi46HVwtYrDvKD6kWrpSA/qF5ieNhYxoEln9TmWekFnpNA0wgsXbq0eDndddddF3bt2hVuvPHGpkmkHhIggQkhIJOKOLGQd1XEbypkUvHZz342fPvb3w4XXHBBOPvss8OSJUuC/CgECwmQAAl0kQCXM3Wx11ucc+7lTfpruxZjo3QSIAEnAnFSsXfv3rBt27awcOFCTiqc2NINCbSJQFefD3TenES0acRSa0Eg58vp9M1C/CRAAiSQEuCkIiXCcxLoBoGuPh/ovDmJ6MZYn7gsc/16k75ZJg4iEyIBEnAnwEmFO1I6JIFGEujq84HOe6wbq2WziN4wkp7LqNH18VxfG1Ub2YSSI06qH51XMdCbZlIfVW0s+dXZDBtHax1W2+c///nwhje8ISxfvrzY/Cgvp6vTOmyc2E4+paQ5p+cWm1G20WxHGUd8xzJsHK113NxQPqK1zmZYBtqnFwOk1StOmnN6bo0zaeNgx44dYeXKlf2X361YsaJ4T0XcqL1s2bKwdu3aIBu15f8MGZYbGjscB6P793rQMRvvBfmMJe339FzsUB9b2qBxUOVDx05t0vOo1aONZjvKOHVarfnEvoyfqV50bo2jtQ7bRnONel0+e6qEENSZ/+H09DR0OjMzU2uD6qWxh42HVosWD60SB+n1ioP8oHqL1kG5PfTQQ72pqanenXfeKU37xaIF2VjuCeRDBCEbVG/xITZdHgf9jk8OPNgirtb+QVpQvSVOm7RKPkivBxMLN0scpNUS5+Mf/3hv+/btvU2bNhX/bq1ataq3efPm3u7du3tHjx4VF/DfC4uNh1ZLHAs3iw3Sa/HhYWPxgbTm5Ib0emjNmQ/Si/K1aLXYWOJ4PB9Y4njYIK7CxFp03lzO5DIVo5NxExjV8ib9td24c2R8EiCBySPA5U+T16fMqBsEuvp8oPPmJKIbY70zWXr/epO+WToDkYmSAAmMjQAnFWNDz8AkMBCBrj4f6LzHuieirLfStV+pDaoXew8by/oxjzgePiRnpNcrDvKD6i1aLX1YFUe/nO6KK64QV7Wlyk9to6TS4gPZoHoJabHhOEg6x8gNsUVcrf2D4qB6S5w2aZV8kF4PJhZuljhIq0cceUfFkSNH+nsqtmzZEspefrdx48ZiT4XELCseWsUv4oLqLT7EBun1ioP8oHqLVkvOljgeNoirRavFxkOrha1XHOQH1YtWS0F+UL3E8LCxjANLPqlN1klEGpznJDAKAvHldPv37w/r1q2r/Q/tKOLTJwmQAAl4EdAvvtuzZ0+Ik4p9+/bNeaO2LOtkIQESIIFcBLicKRdpxhkLgfkub9Jf240lAQYlARIggRoCXP5UA4dVJDBCAl19PtB5cxIxwgFG180gMJ+X0+mbpRnZUAUJkAAJVBPgpKKaDWtIwJNAV58PdN5ZlzNZ1mShtV+oXgaIh42HVosWD60SB+n1ioP8oHqLVm9ucXnTrl275ixvsugVPXXF4gPZoHqJb7HhOJjbUxZuyAZxtfYPioPqLXHapFXyQXo9mFi4WeIgrV5xLFqqbOLyp6eeeiro5U/xPRWrV68ulkTJeyq2bt0qkmtLVZzYCNWLncUGsbX48LCx+EBaLTlb4njYeGjNmQ/S68HEKx/xgwrSi+rFv4cN4oryqKrPOolIRQgYDUcfR1t0LfUR2+nP1Ab5jG21Xeoj2ujP1Ea3j3bomtWH9qOPJU7qoyx2apP6KPOT2qQ+mhxnwYIFxcvpTjzxxGIdsXw70eZ8Jq1/mE+8e2b/ByO9x9IxW8YtXoseUx/6uj7WvvVxlY1c13aMM5tHU7jFScWiRYvCVVdd1d9TIZOKW265JcjL72SfRZxUpH0a84ifZf2cttHnup0+1jb6uMpGrms7Odbnup0+1jb6uMrGGie2j/batz6Oduia1JfZxPajilMWM9WS2qT1UaO2S210nbbX1/VxWb66nT7W7fSx1UbaVLWz+hC71E/qM63XvvWxbqePrTZVcWJ7z08uZ/KkSV+tIDDI8ib9tV0rkqNIEiABEhiAAJc/DQCLpiSgCHT1+UDnzUmEGhA87A4B68vp9M3SHTrMlARIoKsEOKnoas8z70EJdPX5QOfNScSgo4b2E0UA/XqTvlkmKnEmQwIkQAIGApxUGCDRpJMEuvp8oPPOuifCsrGjbP2XHp2oXmw9bDy0WrR4aJU4SK9XHOQH1Vu05uQmN8Ntt90W1q9fH2RCMUyx5IxsUL2FidhwHMztQQ+2iKu1f5AWVG+J0yatHLNzx6uljy02XuNgx44dYeXKlZUvv9N7KqreU2EZ10ivxYeHjcUH0mrpH0scDxsPrTnzQXo9mHjlI35QQXpRvfj3sEFcUR5V9VknEVUieJ0Exkmg7tebxqmLsUmABEigaQTiRu3rr7+++PWnNWvWlL5RWzZqV00qmpYT9ZAACQxHgMuZhuPGVhNKIF3epL+2m9CUmRYJkAAJuBHg8ic3lHTUcAJdfT7QeXMS0fBBSnn5Cehfb1q7dm3o9Xr5RTAiCZAACUwAAU4qJqATmUIpAf0wXWowoRd13lmXM1nWZKG1X6he+szDxkOrRYuHVomD9HrFQX5QvUVrTm5levXyJtHyz//8z+HAgQPFn5ynpczHoDYePiQmx0FKvnv/HqAxIIQ8xpuHD47ZuePVq3+aMg5k+dORI0cq91TEl99ddtlltcufvMYb8oPqLWPW0oeWOB42TRkHFiYWth5MLFosccQPKsgPqhf/HjaWcYByKavPOolIBUhSOjE5loc1XXS9XJd6fU2O9Xm0SX1oGzlGcaR92kafe8VB+VRp1Vr0cdSdXvOKo7lJjGHi6L4p0ys+PeJoH4PGkZfT3X777YXUyy+/PHziE58IN998c5AZePy79tprw+te97rira933313iH/vec97gvzF+Dnz0WyH7Z+oO/pK/XjlE/3Hz1HF8chHNIq+WJDWaJ+20VpSH9JG6tM26bn2URYnXpNPKaOKg7RKbGSjczumdq5e5MMaB3GzxIk8q7RKPh5xkBZLHKQ1Jzedj0wqdu3aFfQbtb/85S+HgwcPFi8C1ZOKa665JqKGYylnPn1Rzxyk91hV/+h2molcT33INTSWLHGi7xg7jVPlQ67HktqkPsQO5ZP6kDapHznXJa33jKPZDhtHa5Xj1I+ce8TRPoaNk2r1OudyJi+S9DORBPTXdjpB+Q/goUOHiktPPvlk+M53vlMcP/HEE+Eb3/hGcfzjH/+4mHzEdhs2bIiH4bWvfW3/+JWvfGX/ePHixf1jHpAACZBA1whw+VPXery9+VY9H7Q3I5tynTcnETZmtOooAX2zzAcBJx3zoce2JEACXSXASUVXe775eXs9HzQ/09kKdd5ZlzPJVzuooLVfqF78e9h4aLVo8dAqcZBerzjID6q3aM3JzaJX9NQVi4+/+Zu/KX4GUb5pkD0XF198cfEnP4940003hbPOOqtYPiWbuOVPvt2QZVTyd+mllxbhd+7cGeSbDllaVbe8SpZZxaVV8ilfhcY/i1YPG4sPNGYlaeQH1Vt8WGw8tFrieOTTJq3CBOn1YOLFHmn1iuORs4fWnPlU6Y0/Kbto0aLiJ2W3bNlS+ZOyW7duFcm1BbFF9eK8SqsOjPygevHlYeOh1aLFQ6uFrVcc5AfV676uO0Z+UL2FvcXGMg7q8qiqe1ZVBa+TAAmMj8Dznve84j+UUYFMPH72s5+Fd73rXfFS8Rn3bcRvOsRGJh16eZVMOKTE5VUycZEiE5QXvvCFxbEsqTrppJOK4+9973v9dZzyH27RwkICJEACTSAgk4o4sZB3VcRvKuT/ZLnjjjvC9u3bwwUXXBDOPvvssGTJkiD721hIgARGQ4DLmUbDlV4nhID+2m5CUirSiJMOObHu6aiadLz85S8Pz3/+8wu/nHRM0ihhLiTQPgJxUrF3796wbdu2sHDhQk4q2teNrVA8qc8HCL7Om5MIRIv1nSagb5ZOg0h+KSRuHhcmX/nKV/po5BesYuGkI5LgJwmLjKorAAAgAElEQVSQwLgIcFIxLvKTH7erzwc6b04iJn+cM8N5ENA3yzzcdLKp/lk6Tjo6OQSYNAk0jgAnFY3rktYK6urzgc57rBurZUOJ3lSSnsvI0vXxXF8bVRvZhJIjTqofnVcx0JtmUh9VbSz51dkMG0drbZo2na9ok6KvpTmn59F+XG0023Fr++pXv9rfTC57NeRPNpTHjeTPec5zik3kcTO5bDp/0YteVOzVkP0ZssZZ/u66665iI/n73//+YtmU/AMmf+vWrQtvectbir+ZmZliM/n73ve+cMMNN/Q3kssaad0Xw/YP+vdg3Kx1jkjrsAzSHNG5NY4es9Y2Ot+cbRDblElObWlspHWc2lKtcp5rHOzYsSOsXLmy//K7FStWFO+okH9rLrzwwrBs2bKwdu3a8OCDDxYvv0u1CrdBtUbW8hlL6jc9Fzu5pktqk56XtUHjoMqHjp3apOcxrkcbzXaUceq0WvPRfWNto+PmbKO5prrndd5TJQT5b/royvT0NHQ+MzNTa4PqpbGHjYdWixYPrRIH6fWKg/ygeovWnNyQXss9gXzkzKdL42D//v29m266qSefn/vc5/p/GzZs6MU/6b/4d/nll/ev33nnnX37hx56qO/nySeflO6aUxBXadCUcdAmrcIN6fXgaukfSxyk1SuORQuy8dCaMx+kF+Vr0Wqx+fjHP97bvn17b9OmTb2pqaneqlWreps3b+7t3r27d/ToUXEBx6wlTq58EFeLVouNVz5Ir1cc5AfVCxOP5wNLHA8bxFXysRadN5czzWsKxsaTTkB/bTfpuU56fl7Lq0499dTiGxPhdcopp/DXXyZ94DC/ThPg8qdOd39t8l19PtB5cxJRO0RY2XUC+mbpOouu5T/opGPVqlX9n+V96UtfWvwqjDDjpKNrI4f5TjIBTiomuXcHy62rzwc677HuiSjrrnS9WGqD6sXew8ayfswjjocPyRnp9YqD/KB6i1ZLH1rieNmInrriEcfDh2jkOJjbU8OylT0a8e+hhx7qvyBQ9nTEv7ifQz5f//rX918QKO1ikbXW8QWBU1NTxX4O+Ud49erVQV4MKH/yAi15MaDs6ZC12PHlgD/60Y+im/4nygeNAXGEfFhsPHxIHKTXKw7yg+otWnNyQ3oRV4tWiw3SYfEhNkivVxzkB9XLOyp27drV31NR9fK7jRs3FnsqJLeyguJIGw8bxNUrjodW0YL0esVBflB9WZ+WXUN+UL1X/yCuZdot1/iyOQsl2pAACZAAIPDiF7+4/02EnkToZvJm8vjCQPl/NOUdHVK++93vFm8jl2OZdPzkJz8prj/wwAPha1/7WnEcv+n45je/Gf7t3/6t8puOwpj/QwIkkIVA3cvvZKM231ORpRsYZEwEuJxpTOAZth0E9Nd27VBMlZNKoGrS8eijj9ZOOoQHl1dN6qhgXk0nwOVPTe+h4fV19flA581JxPDjhy07QEDfLB1IlylOEAFOOiaoM5nKxBDgpGJiurJYmnrsR5omJydLJvq5iHsiKohZ1o95rGXz8CEpIL1ecZAfVG/RKjbID6q3+LDaiF1d8dDi4UM0chzM7SkPtoirRPWI4+EjapVlFnFPh/wuvryjQ/6uv/76IMuqZF/Hnj17+u/qkLXd8pZx+ZN2sqxKit7TIcsz5D8g8ie/p5/u6ZB9HXpPx9atW+d2SHIl6k0u9089mIgz5AfViw+k1SuORQuy8dCaMx+kF+Vr0WqxscRBWuviyH0p9+OiRYuK+69qT4XcR5b7B+mdj1bJIxYUB9WLH4sN0mvx4WFj8RHZ1H0iP6jeyg35QVzrcqiryzqJSIVI0jpxfRxt0bXUR2ynP1Mb5DO21Xapj2ijP1Mb3T7aoWtWH9qPPpY4qY+y2KlN6qPMT2qT+mCcYwRSLuQ2d0ymTDje4t0z+z+0aCyVcYvXosfUh76uj+UlXHHSceTIkXDOOef0Jx3xBYFXXXVVf9KxZs2a/ssB46RDJhx60nHLLbf0Jx2vfvWr+y8H/MhHPtLfSP6d73ynv5Fc/l/aMr16vJTVo5x1e51zel2fM87ssUhukcDcz3Ss6HEUrauu6UmF3F96UiH3j/wAg1yLkwrtRx+jOLpet9PHVhtpU9XO6kPsUj+pz7Re+9bHup0+ttp0JU7k4fnJ5UyeNOlr4gjor+0mLjkmRAIZCViWV8mvUt1zzz2FKvklq/POO684Pvnkk8OZZ55ZHMvbzE8//fTi+PnPf36QhzAWEphUAlz+1Nye7erzgc6bk4jmjk8qawABfbM0QA4lkEBnCMjP2z7++ONFvj/84Q+DfDsi5bHHHgsHDx4sjjnpKDDwfzpEgJOK5nR2V58PdN6cRDRnPFJJAwnom6WB8iiJBEjgGQKcdHAodJEAJxXj6/WuPh/ovLPuibBs7Chbz6aHCKoXWw8bD60WLR5aJQ7S6xUH+UH1Fq05uVn0ip66YvGBbFC9xLfYcBzM7SkLN2SDuFr7B8VB9ZY4bdIq+SC9ViYLFizo7+mQF//FjeRXXnllsYlcNpNv27atv6fj3nvv7W8k/43f+I3+RnL5diO+HFDayn8w5U/2dLzuda8rNpPHPR2ykfyLX/zinD0dc0fh8SvWfI63KD9CfhBX8Yp8WGw8fEgcpNcrDvKD6i1ac3KTvUyyUVt+MEF+KEHvqZAfQjjjjDP6eyrKXl5p0WqxsXCz2LRpHAgXVFDOqF78e9ggriiPqnq+bK6KDK+TAAmQAAlMLAGZdMifFNkYLhu8ZeJRVeQBTP5DLL9epZdXyaTjH//xH4tmcXmVbDqv2tPxyCOPFJMOacA9HVW0eX1YArJHKG7WlonF+973vv6vrV199dV8+d2wYNmulACXM5Vi4UUSOEZAf21HJiRAAiRgJTCf5VUS47WvfW0/1Ctf+cr+sUx4WEhgWAJc/jQsubntuvp8oPPmJGLuuOAVEugT0DdL/yIPSIAESMCZwKCTDgm/YcOGvgpOOvooeDAAAU4qBoCVmHb1+UDnzT0RyaCIp5b1Yx7r1Dx8iGak1ysO8oPqLVrFBvlB9RYfVhuxqyseWjx8iEaOg7k95cEWcZWoHnE8fLRJK8fs8fGq93TEpVWyvCru6ZB3deg9HbJvI74c8NJLL+07euKJJ4o9HZdddlm4+eab+3s65D/88eWA8in7OWSpi3zKMqz413f0zAEak6he3Fhs0Li1+PCwsfhAWi05W+J42CCtsvRJfvmsak9FfE/Fxo0bQ9WeCku+Vhuk14OJRYsljvhBBflB9eLfwwZxRXlU1WedRKQiBIyGo4+jLbqW+ojt9Gdqg3zGttou9RFt9Gdqo9tHO3TN6kP70ccSJ/VRFju1SX2U+UltUh+Mc4xAyoXc5o7JlAnHW7x7Zv8HA42lMm7xWvSY+tDX9bHuE31cZSPXtR3jzOYxam7Pfvaz+xvJly5dGn72s58Vf7IfQyYcb3zjG8Mb3vCG/kZymXS86EUvKiYeetKxffv2/kby9evXz5p0vOUtbwl/+Zd/WUw+ZLIRJx4yOdGTji6Og9i/8T5IGej6aFN3rer+0W1SGx0z2qFryEecVOg3astPKu/bty/IRm2ZVKxduzaUTSp0bBQnMknbxDzK6mNd2iY9j3bxE2lJ63U7fdz2ODEXz08uZ/KkSV8TR0B/bTdxyTEhEiABEqgg8NRTT4VDhw4VtU8++WSx8VxO5JuOb3zjG8X1H//4x8UEJLrg8qpIYnI/ufzpeN929flA581JxPHxwCMSmENA3yxzKnmBBEiABEigIMBJRzcHQpcnFV19PtB5Z13OZFmTpb8uKrslUb208bDx0GrR4qFV4iC9XnGQH1Rv0ZqTm0Wv6KkrFh/IBtVLfIsNx8HcnrJwQzaIq7V/UBxUb4nTJq2SD9LrwcTCzRIHafWKY9GCbDy0DpLP8573vFnLq+J7OmR5lbyjQ5ZY3X777f3lVfLtht7T8dnPflbCFd90xPd0oD0dcYlVXFol9jKZqSuIG6oX3x5sLXE8bDy0Ss5VWuLPyerlT/ILYjt37uwvf5J3Vzz44INh69atdV1T1CG9VTq0Yw8biw8ds+oY+UH14tfDBnGt0o+u8z0RiBDrSYAESIAESIAEXAnESUd0euaZZ5a+p0MmHlLuuOOOsHz58uI4XV4lkw4p8rI12TQei0xSXvjCFxan8jO5J510Uti7d28xqZF3dEiRh1/RwuJDQCYVcWIhm7XjNxUyqZA+lD04F1xwQTj77LPDkiVL+u9q8YlOL7kJcDlTbuKM1yoC+mu7VgmnWBIgARLoMIGq5VWC5Ctf+UqfjHx7EUvZpEPqXv7ylxcvBpRjTjoireE+46RCJnPya2MLFy5s7aSiq88HOm9OIoa7D9iqIwT0zdKRlJkmCZAACXSSgCyLiiVuHpdzTjoiFf/PNk8quvp8oPPmJML/nqDHCSKgb5YJSoupkAAJkAAJzJMAJx3zBFjSvKmTCnlHhvzUrfyccizp84Hs++jCEi2d91g3VstmEb1hJD2XjtL18VxfG1Ub2YSSI06qH51XMdCbZlIfVW0s+dXZDBtHa22atte97nXhbW97W/9P9J1zzjn9czm+5ppr5HJRhmWguYqj1A86r2qj2aY+qtpoLTnbaK1N06aZiDbRqq+lnNLzceaDtI5TW8pJzjkOZv930Kt/OA7wv6vDso5jVjYQy99Xv/rV4h0dcTO5bCSPm8l7vV6xmXxmZqZ4w3jcTP71r3+92HwsGu66667w/ve/v/iTvRrykCZ/5513Xv8FgdJeXg4ofw8//HDxng5ZiiX7DHSRe0oXNA7Se1LaptfQuWebW2+9NaxcubJ4+d1VV10VVqxYUTCOG7WXLVtWvKdCHtjlwT6XNnlfyiWXXNLfuC9xdREt5557bvFelXg9lzZLnDhmoza3z54qIchYH12Znp6GzmdmZmptUL009rDx0GrR4qFV4iC9XnGQH1Rv0ZqTW6r30ksv7cl9UPV38skn93bv3i0S+yX10a9QB8gG1Ysriw3HgYL+zKGFG7JBXK39g+KgekucNmmVfJBeDyYWbpY4SKtXHIsWZOOhNWc+SC/K16LVYmOJg7R6xbnpppt6+/fvL/4+97nP9eLfhg0bevFP/7fq8ssv71+/8847C/vf/u3f7j300EN9P08++aTIm1UsOSMbVC8BLTaI7cc//vHe9u3be5s2bepNTU31Vq1a1du8eXPx3+WjR48WeVniIJuyeokjfRCLfmaWOvlLS5kfbYPqxdbDBnHVmtCxzpvLmdymY3Q0CQTk62n5f38OHz5cmo78Osg//dM/ldbxIgmQAAmQAAmMi8B8lle99KUvLTY5i/ZTTz21eLu5HJ9yyimN/gWlnMuf5NsGeWu3fCsiv+gVl/XI9V/91V8NR48ebTQrr3EZ8xZ/nER4UaWfiSHwjne8o/h6OU3otNNOC3/9138dXv/616dVPCcBEiABEiCBVhEYdNKxatWqYmmRJNnUSceoJxXyzgv5RSlZuhYfpuWalCuvvLJV/T+s2Jh30V5/baG/otDXvY4tX6egr21QvWj1sPHQatHioVXiIL1ecZAfVG/RmpNbmV75+vi0006bs6Rp+fLlIm1OKfORGiEbVC/+LDYcByl5GzfEFnG19g+Kg+otcdqkVfJBej2YWLhZ4iCtXnEsWpCNh9ac+SC9KF+LVouNJQ7S6hXHogXZeGiN+Rw6dKi/LEqWFMXlVbK06M1vfnOxlEqWGMUlVrLUKC67kqU+733ve4s2siQ4LtOKS5AkhhSkF+UrPrSNaC5b/vTBD36wl8Y+puDY/2of+rq0kRxlWZjkKefxU9vF4yo/1nqxQz4sNohr1GP51HMFvmxu2KkY200sAdkoJ5u5ZLNbLPItxEc/+tF4yk8SIAESIAES6BQBeYlcLPLfSV1kc++73vUufal40Zy8GFDKd7/73fCtb32rOJblQD/5yU+K4wceeCB87WtfK47lm45//dd/Df/xH/9R+U3HE088Udha/6fu5XeyNGnQ91QsWLAgyFvYv/CFLxQS5Dlh8+bNnVjGVMacy5nKqPBa5wmkeyO4F6LzQ4IASIAESIAERkhAliLpSUecMDz66KOVk444mRl2edUwy5/i3og4+enKXojY9Xo5EycRkQo/SSAhEPdGcC9EAoanJEACJEACJDBmAqOYdPz85z8Pjz32WEBv1JZ9EPITtPItRFf2QsTu1pOIsb4nIgrSn+lv7+o6OUb1XjaW39T10OLhQ3JGer3iID+o3qLV0oeWOPO1+eM//mOREl7xilfUbqaebxxLvlYbjoOiy2b9j0f/IK7W/kFaUL0lTpu0Sj5IrwcTCzdLHKTVK45FC7Lx0JozH6QX5WvRarGxxEFaveJYtCAbD60580F6db6yVEm+iZA/ebdEfE/HokWLwk033VT87dmzp3hPh7yvQx7843s65MVxscjyqk984hPF37vf/e7wpje9KXzgAx8oljrJ/4kov8h44403hte85jXFn0wanvvc5xbN5dcc64rWW2aH6qWNhw3iWqbNci3rJCIVJEnpxORY/1qA2Ot6OZd6fU2O9Xm00bFSGzlHcdLYqQ+vOCifKq1yPRZ9HHWn17ziaG4SY5g4UXf8TP3IuUcc7aOMC4oTvyY988wzo9QiX51z6mOYONLGq3/6Qp+5d7RWzziarcQYJo7WKsepHzn3iKN9DBsntouakdZor7nkyifGrtIq1z3GG/JhjRN1xs+UrVccNA4scURj2qfpuUccpCUdS1GX1hKvVXGV6x5xkA9rnKgzfkouOh+vOOJHl2Hi6PZynPqQ87I4up01H91mmDhRX/Rj9SF2saT5pD7EDuWT+pA2qR851yWtn2+cOOmQh/LnPOc5/UnHU089VZzLxCNOOqanp8PLXvaycPXVV4cbbrgh/Mqv/ErxtmqZhPzsZz8LH/7wh8NJJ50UZKmz/D/z8icTDnlh7bXXXhs+8pGPhLe//e3h7/7u78IXv/jFgs973vOe4mWBOkcvbnq8lXHTMT2PuZzJkyZ9kQAJkAAJkAAJkAAJdIKA3lPxV3/1V8V7NWQiIRu25e3jMtGQ5VHxmw952L/nnnsKNlNTU8V7qeTk5JNPDvH/sJQ2p59+emEjPvSG9iZA1cuZOIloQo9QAwmQAAmQAAmQAAmQQKsJ6EnFtm3ban/9STZoP/7440W+P/zhD8ORI0eK46ZPOjiJaPUQpXgSIAESIAESIAESIIGmExhkUoFyme+k4w/+4A9cfopWTyKy7olI17uVAUMbSFC9+PSw+f/bO//YKq/zjj/XdG0ygRtto+E6nTq1CKiEtQ1naTWi1ZBgFrVaEUtoNwW7utEUVR1pi1wcGEHaINn4MSIqmNQguxhTBlHJQpmaAMUkmxIpiOyfjDi2aNVN1G5V0YofEUk6+0znvffc+9zj973PY/v4YC7fVyL3vOc8P77P5z2Ge3LP8Q2hVaMlhFabR9IbKo8URxrXaI3JTdIrcdVo1dhIOjQxrI2kN1QeKY40rtGqqVmTJ4SNxFWjVWNzu2nVzIMQTEKxDzEPYtUTQmsobpqaJb2aGCFsNDEkrTG5SXpDaI1Zj6RXqlejVWOjySNptXnOnj2bHPretGlTct7CHu625y3tYW77PRUtLS3Jge/XXnuN7CIh7XJa7HdUuIPkS5cuLZ/psAe9m5ubk4Pk9tMPe4jc/nn55ZfLB8ntNqo777wzLfyU+vBlc1PCB2cQAAEQAAEQAAEQAAEQkAn4X363Z8+e8qLCHuKe6Jff1cpoFx32j73sb6yajkUEzkTUegIYAwEQAAEQAAEQAAEQAIEIBEJuf5ouuXw7ExYR00UZcUEABEAABEAABEAABEBgkgRm4qKCLyJwJiLjwWr2url9ahkhkm7JRhq3QTQ2kl5NjBA2mhiSVk3NmjwhbEJojVmPpDcEk1D1SFpD5QlRcwitseq5lbRaJpLeEM8vFHtJa6g8IWoOoTVmPZLeEExC1SNpDZUnRM0htMasR9IbgkmoeiStIfLY7U/2tzZlnalYtWpVcqZiy5YtmWcqrA6NVms30SvqIsIXZycDnxC87WylPj+G8+Ovvo0U0/lyOz+Gs+Gvvg33d3ZSnzYGj8PbNo8fIy23b+PHSIvj2/gxkKdIwOcCbuPnpM8E88399FT/TwNpLqVxc30uoh+D9/M2fya8nWVj+7kd8lTzADdHoPhaa67wMeeVNp+4Xdq49a1lw8emmsf5u5w8Nm87O6nPjqfZOP/pypOW09fi2/jjTiO38234GLfn/bydVi/3423ux9taG+uT5aeNYe38OH5Mf5zH5m3ux9vWxi0q7BkH+8V49qC2/Q6KgYGB5KC2XVR0dHSQtKhw+ab6iu1MUyUI//omMPYO9Ty0nDb/0SF6Z/tyapzOapNcX6CjX/p3eqmwiG7qCn8660RsEAABEAABEACB4ARqbX9asmRJkMPVfDsTFhHBHyECgsAkCWARMUlwcAMBEAABEAABEPAJ8EXFww8/nPwmKN9movd8ERH1f3Zq9mT5H934xUnj1j6ETQitGi0htNo8kt5QeaQ40rhGa0xukl6Jq0arxkbSoYlhbSS9ofJIcaRxjVZNzZo8IWwkrhqtGpvbTatmHoRgEop9iHkQq54QWkNx09Qs6dXECGGjiSFpjclN0htCa8x6JL1SvRqtGhtNHklrqDwaLVk2dvtTW1sb3bhxI8gCwtbEr6iLCJ4Y7VuZwAc08mYfdS1rIrsizTV10K7TQ3Sdl3R9iPp7umiZHbd/lnVRTz+zudpPXU1NtHL/aTrXW7Fr6niWTg9dTSKNDfXQytwa6hl6j0cmutpPR5/YQl39xa+Lp7ERepPFcLnKXqVcy7q+Tbs6mhM9TV39lGR57+d0elcHNSU6m6ljVx/1dK2kXNMm6r86RmQuU8/KJiraj9HV/k3UlFtD+/tfoV5rl8tRe/sm6th1koaujzGdV2no9LPU0VSs/4nv/JC+n/C4t6KbWWc2WW3t7e0ix75t24r1MY5J7NLzeMbGSGpdSV09/Z7mTBUYAAEQAAEQAAEQAIFqAoZdRPZL7nCBQC0C75tLx75m8tRmNhwbMNfMqLk2cMC05xebwrGfmlHreu0t092+2OTb95o3ht83xrxvht/Ya9rzedO68w1zzdpcOWM25MlQOY4xZvSSObOxzVDrbnP+2qgxowOmu+1Tpq17oBg3kTVqrpzZaPL5jebMFWvzU3OswHOl6HG58gXTPXDFmNFfmMGL9tX5HjADNp+5Yga6CyZPZKgc32rIm/yGM+aKKeW2460bzbHBK0VFw6fMxtZPVWozJUYuX5mRrbfFbDjzy8Rv3H/8esv6HMcatdXiaH5tzu/8vMm3uzqNGS1prmY7ThE6QAAEQAAEQAAEQKBMgK8VqlYNfKBsjQYIcALJG133ptoN/NKc2dBiqK3bDI66N/lfM8cu2QWEu9wb8EdM9+CN8iKi+OY8w8bcMIPdj1QWFYlZMVf1m/pSTBfGvdl3C4HSIiI1V97XWarF+VbV62rwFwK8frdAYouqRFeWb1m0t2hy9lOojUq+/uKEpUQTBEAABEAABEAABLQE+FoB25mqP5jBnUBg7OLrdPQUUfPCJppdtv09Wr79PJmTBVrQ8Cs6f/IUjTQvocX5D5ctiBpo9sfnUzP9hAYvVW18qmFzB81f+WUqDH6Pnj/3q8Ru7Gf/Qd/rm0fr1yyhRirlys+nP5iXkmvkFJ08X/RjSUrNLJ2z6eMLPznevGZPyeeti3Tp+v/R1fM/or6RT9PSxXez37Dk6q8ZiA1OpTaXq8S6YR794YpFdGrzd+nFc/30At9WxjKiCQIgAAIgAAIgAAJaAlEXEf4hFHsQhB8G8e9tEXzc3fO+6fKxWmPk8fVL91kMOFs/RpaPpj7f5tDx12245DrkPT/b2Xewhw6/9OOSxfjfmzxCP6bvP7uF+OmBI16cEbpMF04/n8RouOfP6GNLLtNzu/+ZrtJ7dPHkEeppXk3mwgnq6yva0Mg/0gMfnVXa6188gzBr4WN0ii6XddjGjQunyeZy1+kLl4lGKvUUuR12w8nrU1u+Ta+P3Cj3HTn933SDxU3zKdr8T9mnaFPJa2vjXK1hYnPoB2WfQ33PU1FfVm2UMOo7crrsY2vj86DC8S5q6TxMg4c+Qz/8h2/QXz6wkObkmmhZVw9t3PlclRZfa1kb4+bb+PdaH65V62Nz8cvPLd1PNo/094Gfd7J5/DjSfVoeSWuaz2TyhPLBPKj+dzDU88E8GP/vjz9nJ8t6onPW5bGv7vK1+PfWzvbxy7fx79N8pHmQFYPn9m38e5c3hA9nO515amnV1sO1an143pg+vlabO8jFP77gH1Hw/lDtzZs3i6EOHjxY00Yat84hbEJo1WgJodXmkfSGytO74zHTRnnvnELlkR08uI9tbar029boYLdpoxbzp4+uz9jOVLH5/JP7Ss6lbT12e9GvL5TPSPQm88TbRlSdrjIPUrczlXybHzODyUEO51zaQlXazrT5776aciaiejvTwYPdxW1Xic9vimc23FaiUljL39WfdiYieT5V247G15b6DL3a3DzIylWM8b4ZPn/M7GxfXDn74coP9POTqpXlsE2n1euuupXiSOM2WAibEFo1Wm43rZaJxDYEk1DsJa2h8oSoOYTWmPVIekMwCVWPpDVUnhA1h9Aasx5JbwgmoeqRtIbKE6JmjVarV3PxtQLORGiIwaZCoOqMgOsuvfFO3ji/Wzr47J818Pb4e29+XaTUN7+JbYtZv/Mp01b15twtMMbnunZ+t2l1tqm5nG/pgLYTYEpv3kuLiOLhbncGxNVQvYgw7uyG8ynprV4sZPmWE6efiRh3ZmPUyLVVFmPVGlgud27EMeJDaIMACIAACIAACIBACgG+iIi6nSnIRycIcnMJNHySHup6nBbu2E7/1P+zZFvS2Mh/0oG+/6LWnZ20Zov/HiUAAAvjSURBVMFvU+N9f03bVrxKf7tpP50b+YCIxuj6O3207tEDtDCxuWNiNTQuoTXr59Hub22lU21/TvfPd/4N1Nj6OO19yMs19CJt7dxHVDOX8z1FW59+sfSrTq/S0Au7aeuONyemz7duvJ+e2PtZ6tu6m15Ifl3tGF0fepGe3nqARnzbzHunbzK1eUHtl9itnE/Lul6o/ErX60P0o5NvEhW+TCvLPD0/3IIACIAACIAACIBABoGoiwjNnix/v5ivWxq39iFsQmjVaAmh1eaR9IbK09d3lPLLN9Lh84/S6NY/oVm5HM1q2kWjXzlMh9ffR/9m93DOXkyFfcfo0Of+l7qaPkK53Cya89W36XOHXqETnffR9qee8h/ruHt3JqI4cBf98V+spjZaTIXHH6D5DewZN3yCVu/xcrUep7nrjtLqjw2yw9/jUhA1fILe/eyXaNPc49Q6x56pWEpP/+ReWrdzVdnYnomQrr6+6nMURB+me1Y/Q69smkvHWz+a1P/7hWO0fN0T1JYRLPX51KjNsq4cbK8ETZ0HDYvoKweO0rq5x+kzSZ05ys15hI7PfZxObPsC3eP9LZCqpZIiaUk20rgNkqp1GvJotEg2IbTa0qQ80rgmxq2kVTMPQjDRcNPkCcFWkyeETQitobhp6pH0amKEsNHEkLTG5CbpDaE1Zj2SXqlejVaNjSaPpDVUHo0WyUaj1eqd6PWhiTrAHgTsm+R8y1rafnYtbc/CMXsBLS9sT/6kmjQup+3DZpx/w4ICnTSFcW+2XH9qrIxcfX1vF80zciWDd8yjFX/zLRru7C2Ffo+Geo5Qfu2DdG9jA53N/S4VTg5TwSVe/gwNm2fcXen1t2hB4XkyZSPb3UgLVnyTeoe/STay/QFfsfg3tDvfRivv/R3Pv3TbsIgKJy9WctluVpuNsXbt2mrfjNp8Xg35Flrd2Uvv3v3g+BjVEXEHAiAAAiAAAiAAAiKBnN3u5KzsN9myW9eNVxCoQwL226c306JHf0Hb+p+lwqJGIvqARs7tpydXvUTNJw5RZ8tdk6vbfkP2oq/Tz7f9K+0rLE4+MRgbeY32PPl1+kHzvySfxqR9ijC5ZPACARAAARAAARAAgTgE+FrB28gQRwCygMDNJ2DPHKyjE3s/Ta8ut1uO7K+G/Qi17LtBXzyxn9ZPdgFhC2u8n75x4u+p+dW/ojlJ3BzNanmORr/4nWTLFxYQN//pQwEIgAAIgAAIgMDUCERdRGj2ZEn7uqRxiyOETQitGi0htNo8kt5QeaQ40rhGazRuDXl6+927qXfYJJ/A2U/hhns7aXVLvvwlcRLXdK12u9dq6ux9qxz34PYHqXN1C+UzfuI03DQ2kl5NjBA2mhiS1nS2trdyafKEsAmh1aqWtEjjmhi3klZbj6Q3BBMNN00eSWuoPBotkk0IrTHrkfRK9Wq0amw0eSStofJotEg2IbTGrEfSK9Wr0aqx0eSRtIbKo9Ei2Wi0Wr0TvTLe0kw0zOTsbdG8cN52EaU+P4bz46++jRTT+XI7P4az4a++Dfd3dlKfNgaPw9s2jx8jLbdv48dIi+Pb+DGQp0jA5wJu4+ekzwTzzf30VC80pLmUxs31uYh+DN7P2/yZ8HaWje3ndshTzQPcHIHia625wsecV9p84nZp49a3lg0fm2oe5+9y8ti87eykPjueZuP8pytPWk5fi2/jjzuN3M634WPcnvfzdlq93I+3uR9va22sT5afNoa18+P4Mf1xHpu3uR9va22y8jj/kK84ExGSJmKBAAiAAAiAAAiAAAiAQJ0SwJmIOn2wKAsEQAAEQAAEQAAEQAAEYhC4qduZYhSIHCAAAiAAAiAAAiAAAiAAAmEJRF1EaA52pO3/4iVL49Y2hE0IrRotIbTaPJLeUHmkONK4RmtMbpJeiatGq8ZG0qGJYW0kvaHySHGkcY1WTc2aPCFsJK4arRqb202rZh6EYBKKfYh5EKueEFpDcdPULOnVxAhho4khaY3JTdIbQmvMeiS9Ur0arRobTR5Ja6g8Gi2SjUar1TvRK+oiYqLiYA8CIAACIAACIAACIAACIDDzCOBg9cx7JlAEAiAAAiAAAiAAAiAAAjOOAA5Wz7hHAkEgAAIgAAIgAAIgAAIgcOsQiLqdSbMnS9rXJY1b9CFsQmjVaAmh1eaR9IbKI8WRxjVaY3KT9EpcNVo1NpIOTQxrI+kNlUeKI41rtGpq1uQJYSNx1WjV2NxuWjXzIASTUOxDzINY9YTQGoqbpmZJryZGCBtNDElrTG6S3hBaY9Yj6ZXq1WjV2GjySFpD5dFokWw0Wq3eiV5RFxG+OFs0L5y3na3U58dwfvzVt5FiOl9u58dwNvzVt+H+zk7q08bgcXjb5vFjpOX2bfwYaXF8Gz8G8hQJ+FzAbfyc9Jlgvrmfnur/CSLNpTRurs9F9GPwft7mz4S3s2xsP7dDnmoe4OYIFF9rzRU+5rzS5hO3Sxu3vrVs+NhU8zh/l5PH5m1nJ/XZ8TQb5z9dedJy+lp8G3/caeR2vg0f4/a8n7fT6uV+vM39eFtrY32y/LQxrJ0fx4/pj/PYvM39eFtrk5XH+Yd8xZmIkDQRCwRAAARAAARAAARAAATqlADORNTpg0VZIAACIAACIAACIAACIBCDQNTtTJo9WWkf3XAQ0ri1DWETQqtGSwitNo+kN1QeKY40rtEak5ukV+Kq0aqxkXRoYlgbSW+oPFIcaVyjVVOzJk8IG4mrRqvG5nbTqpkHIZiEYh9iHsSqJ4TWUNw0NUt6NTFC2GhiSFpjcpP0htAasx5Jr1SvRqvGRpNH0hoqj0aLZKPRavVO9Iq6iJioONiDAAiAAAiAAAiAAAiAAAjMPAI4EzHzngkUgQAIgAAIgAAIgAAIgMCMI4AzETPukUAQCIAACIAACIAACIAACNw6BLCd6dZ5VlAKAiAAAiAAAiAAAiAAAjOCQNRFhH+wY8eOHWT/uMu/t/183N3zvunysVpj5PH1S/dZDDhbP0aWj6a+WjaTzcO1zjRtvF6rTZoHk2Xg5/HjSPdZ3DhbP0aWD9cS04drnWnaOJNbbR5Ic3amscY8qP53MNTzwTwovn/gP8uh/n6b6Jx1z9S+usvX4t9bO67d3fM+jY80D7Ji1MoznT6c7XTmqVWfhrX151q1PjxvTB9fq80d4sKZiBAUEQMEQAAEQAAEQAAEQAAE6pwAzkTU+QNGeSAAAiAAAiAAAiAAAiAwnQSibmeazkIQGwRAAARAAARAAARAAARAIA4BLCLicEYWEAABEAABEAABEAABEKgbAlhE1M2jRCEgAAIgAAIgAAIgAAIgEIcAFhFxOCMLCIAACIAACIAACIAACNQNASwi6uZRohAQAAEQAAEQAAEQAAEQiEMAi4g4nJEFBEAABEAABEAABEAABOqGABYRdfMoUQgIgAAIgAAIgAAIgAAIxCGARUQczsgCAiAAAiAAAiAAAiAAAnVDAIuIunmUKAQEQAAEQAAEQAAEQAAE4hDAIiIOZ2QBARAAARAAARAAARAAgbohgEVE3TxKFAICIAACIAACIAACIAACcQhgERGHM7KAAAiAAAiAAAiAAAiAQN0QwCKibh4lCgEBEAABEAABEAABEACBOASwiIjDGVlAAARAAARAAARAAARAoG4IYBFRN48ShYAACIAACIAACIAACIBAHAJYRMThjCwgAAIgAAIgAAIgAAIgUDcEsIiom0eJQkAABEAABEAABEAABEAgDgEsIuJwRhYQAAEQAAEQAAEQAAEQqBsCWETUzaNEISAAAiAAAiAAAiAAAiAQhwAWEXE4IwsIgAAIgAAIgAAIgAAI1A0BLCLq5lGiEBAAARAAARAAARAAARCIQwCLiDickQUEQAAEQAAEQAAEQAAE6oZAzhhjbDW5XK5uikIhIAACIAACIAACIAACIAAC00PALh8+5EKX1hLuFq8gAAIgAAIgAAIgAAIgAAIgkEoA25lSsaATBEAABEAABEAABEAABEAgiwAWEVlk0A8CIAACIAACIAACIAACIJBKAIuIVCzoBAEQAAEQAAEQAAEQAAEQyCLw/5zFpeuxW+lxAAAAAElFTkSuQmCC"></p>
</div>

<div class="specification">
<p>Using the ray diagram,</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>determine the focal length of the lens.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>calculate the linear magnification.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The diagram shows an incomplete ray diagram which consists of a red ray of light and&nbsp;a blue ray of light which are incident on a converging glass lens. In this glass lens the&nbsp;refractive index for blue light is greater than the refractive index for red light.</p>
<p><img 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"></p>
<p>Using the diagram, outline the phenomenon of chromatic aberration.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>constructs ray parallel to principal axis and then to image position</p>
<p><strong><em>OR</em></strong></p>
<p>u = 8 cm and v = 24 cm and lens formula</p>
<p>6 <strong>«</strong>cm<strong>»</strong></p>
<p>&nbsp;</p>
<p><em>eg:&nbsp;<img src="images/Schermafbeelding_2018-08-13_om_08.38.23.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/08.a.i/M"></em></p>
<p><em>Allow answers in the range of 5.6 to 6.4 cm</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>m</em> =&nbsp;<strong>«</strong>–<strong>»</strong>3.0</p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>completes diagram with blue focal point closer to lens</p>
<p>&nbsp;</p>
<p>blue light/rays refracted/deviated more</p>
<p><strong><em>OR</em></strong></p>
<p>speed of blue light is less than speed of red light</p>
<p><strong><em>OR</em></strong></p>
<p>different colors/wavelengths have different focal points/converge at different points</p>
<p>&nbsp;</p>
<p><em>First marking point can be explained in words or seen on diagram</em></p>
<p><img 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"></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>An optic fibre consists of a glass core of refractive index 1.52 surrounded by cladding&nbsp;of refractive index <em>n</em>. The critical angle at the glass–cladding boundary is 84°.</p>
</div>

<div class="specification">
<p>The diagram shows the longest and shortest paths that a ray can follow inside the fibre.</p>
<p style="text-align: center;"><img 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"></p>
<p>For the longest path the rays are incident at the core–cladding boundary at an angle&nbsp;just slightly greater than the critical angle. The optic fibre has a length of 12 km.</p>
<p>&nbsp;</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate <em>n</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The refractive indices of the glass and cladding are only slightly different. Suggest why this is desirable.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the longest path is 66 m longer than the shortest path.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the time delay between the arrival of signals created by the extra&nbsp;distance in (b)(i).</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest whether this fibre could be used to transmit information at a frequency of 100 MHz.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.iii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>«<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{sin}}\,{\theta _{\text{c}}} = \frac{{{n_1}}}{{{n_2}}}">
  <mrow>
    <mtext>sin</mtext>
  </mrow>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <msub>
      <mi>θ</mi>
      <mrow>
        <mtext>c</mtext>
      </mrow>
    </msub>
  </mrow>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>n</mi>
          <mn>1</mn>
        </msub>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <msub>
          <mi>n</mi>
          <mn>2</mn>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
</math></span>»&nbsp;<em>n</em><sub>1</sub>&nbsp;= 1.52&nbsp;× sin 84.0°&nbsp;✔</p>
<p>&nbsp;</p>
<p><em>n</em><sub>1</sub> =&nbsp;1.51 ✔</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>to have a critical angle close to 90° ✔</p>
<p>so only rays parallel to the axis are transmitted ✔</p>
<p>to reduce waveguide/modal dispersion ✔</p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>long path is&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{12 \times {{10}^3}}}{{{\text{sin}}\,84^\circ }}">
  <mfrac>
    <mrow>
      <mn>12</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>3</mn>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <mtext>sin</mtext>
      </mrow>
      <mspace width="thinmathspace"></mspace>
      <msup>
        <mn>84</mn>
        <mo>∘</mo>
      </msup>
    </mrow>
  </mfrac>
</math></span>&nbsp;✔</p>
<p>= 12066 «m» ✔</p>
<p>«so 66 m longer»</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>speed of light in core is&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{3.0 \times {{10}^8}}}{{1.52}} = 1.97 \times {10^8}">
  <mfrac>
    <mrow>
      <mn>3.0</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>8</mn>
        </msup>
      </mrow>
    </mrow>
    <mrow>
      <mn>1.52</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mn>1.97</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mn>8</mn>
    </msup>
  </mrow>
</math></span> «m s<sup>−1</sup>» ✔</p>
<p>time delay is&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{66}}{{1.97 \times {{10}^8}}} = 3.35 \times {10^{ - 7}}">
  <mfrac>
    <mrow>
      <mn>66</mn>
    </mrow>
    <mrow>
      <mn>1.97</mn>
      <mo>×</mo>
      <mrow>
        <msup>
          <mrow>
            <mn>10</mn>
          </mrow>
          <mn>8</mn>
        </msup>
      </mrow>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mn>3.35</mn>
  <mo>×</mo>
  <mrow>
    <msup>
      <mn>10</mn>
      <mrow>
        <mo>−</mo>
        <mn>7</mn>
      </mrow>
    </msup>
  </mrow>
</math></span> «s» ✔</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>no, period of signal is 1 × 10<sup>−8</sup> «s» which is smaller than the time delay/OWTTE ✔</p>
<p> </p>
<div class="question_part_label">b.iii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.iii.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="background-color: #ffffff;">A small object is placed at a distance of 2.0 cm from the objective lens of an optical compound microscope in normal adjustment.</span></p>
<p><span style="background-color: #ffffff;">The following data are available.</span></p>
<p style="padding-left: 60px;"><span style="background-color: #ffffff;">Magnification of the microscope &nbsp; = 70<br>Focal length of the eyepiece &nbsp; &nbsp; &nbsp; &nbsp; = 3.0 cm<br>Near point distance&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 24 cm</span></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">State what is meant by normal adjustment when applied to a compound microscope.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">Calculate, in cm, the distance between the eyepiece and the image formed by the objective lens.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">Determine, in cm, the focal length of the objective lens.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;">«the final» image is formed at the near point of the eye ✔</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;">«image is virtual so»&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mo>=</mo><mo>-</mo><mn>24</mn></math> «cm»&nbsp;✔</span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">«<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mi>u</mi></mfrac><mo>=</mo><mfrac><mn>1</mn><mrow><mn>3</mn><mo>.</mo><mn>0</mn></mrow></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>24</mn></mfrac></math>» so&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>u</mi><mo>=</mo><mn>27</mn></math>&nbsp;«cm»&nbsp;✔</span></span></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>M</mi><mi mathvariant="normal">e</mi></msub><mo>=</mo><mfrac><mi>v</mi><mi>u</mi></mfrac><mo>=</mo><mfrac><mn>24</mn><mrow><mn>2</mn><mo>.</mo><mn>66</mn></mrow></mfrac><mo>=</mo><mn>9</mn><mo>.</mo><mn>0</mn></math>&nbsp;&nbsp;<em><strong>AND&nbsp;&nbsp;</strong></em><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>M</mi><mi mathvariant="normal">o</mi></msub><mo>=</mo><mfrac><mrow><mn>7</mn><mo>.</mo><mn>0</mn></mrow><mrow><mn>9</mn><mo>.</mo><mn>0</mn></mrow></mfrac><mo>=</mo><mn>7</mn><mo>.</mo><mn>8</mn></math>&nbsp;<span style="background-color: #ffffff;">✔</span></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>v</mi><mn>0</mn></msub><mo>=</mo><mn>2</mn><mo>.</mo><mn>0</mn><mo>×</mo><mn>7</mn><mo>.</mo><mn>8</mn><mo>=</mo><mn>15</mn><mo>.</mo><mn>6</mn><mo> </mo><mo>«</mo><mi>cm</mi><mo>»</mo></math>&nbsp;<span style="background-color: #ffffff;">✔</span></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>«</mo><mfrac><mn>1</mn><mi>f</mi></mfrac><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>+</mo><mfrac><mn>1</mn><mn>16</mn></mfrac><mo>»</mo></math> so&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mn>0</mn></msub><mo>=</mo><mn>1</mn><mo>.</mo><mn>8</mn><mo> </mo><mo>«</mo><mi>cm</mi><mo>»</mo></math>&nbsp;<span style="background-color: #ffffff;">✔</span></p>
<p><em>NOTE: MP1 allow&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>M</mi><mi mathvariant="normal">e</mi></msub><mo>=</mo><mfrac><mi>D</mi><mi>f</mi></mfrac><mo mathvariant="italic">+</mo><mn mathvariant="italic">1</mn><mo mathvariant="italic">=</mo><mn mathvariant="italic">9</mn></math></em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A converging (convex) lens forms an image of an object on a screen.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAxMAAAFACAYAAADH3yEgAAAgAElEQVR4Ae3dD3BV5bnv8d/esUppCJbKlL3BypXchHqhtQ1ipzKH/KmJXGtlQtWeHiAYRvEeQK6ekBRE6ylIgeTC4MFb/9ykIJQjaDJ4qKNEE0Mv3HPKJI4tTCUZdKCFbHuwVJJU/JesO2vtvZOdvXaSFUhYWcl3z2iy3/2u933ez5OE/WStd8VnGIYhHggggAACCCCAAAIIIIBAPwX8/exPdwQQQAABBBBAAAEEEEDAEqCY4AsBAQQQQAABBBAY8gJtaijLks/nU2pZgz434w1VqcDnk8/3gKpCVsuQX8WQC7CtSbUvlemBLRHTHgNsUVPtHpU98JQavEg9iF8rFBM9ftHwAgIIIIAAAggggMDwFWhTw9NLlHPXSr3R3vsqP294Vv8950da+caF3juOwFevGIFrZskIIIAAAggggID3BQL52mEY2uH9lbACDwtwZsLDySN0BBBAAAEEEBiOAh1qazqgsoLp1mVNvmCByl5v1Pn4pSa8dCXuWPMyKPP4qgaFOmIGaGvS62UFClqXSeWpZMcR/elImVLN56llkUt5/qSqglT5fFnaUPWSVmcF5fMFlVdxXB3qe57PG6LjbVDtH2LWk7VaVU0tUoIYusUYE670uUJVD4Q9CnaroaGqm8+WIyHFLk+KXJYUNfQFlVVSoVpzXuthru1GzVhZZz17d+UMfcGXpbKGtsjr0Q/heb8wY6XeNZveXakZX4i51MxyqNNLnZY++bJKVFHbpPiRoiOGP5rxVajEMjUvVevpuE8Vil2rz6dgwRa93rkOc7S+c9F97ugz87haVZTkhee3GUX79fHRvJsTDwQQQAABBBBAAIGhIdB+utIoDMi822bC/6aU1hufmaE2VxoLrT5LjMpmq8Xo+dhpRmHlSaPdPK79pFFZOC1u7GnGjxfONQLmeFNKjXpruD8alQunxPXLMIprzjqa57P6UmNKD2tQ5lKjeGF8DOGxE2fhM6O5cklcLLE+dxnljRcih5433ikvDK/FNv/tRmn9Xw3DSLS2TKO0vjVu+sTzhnPQbrS+s91YmDBXASOz9LdG/GjhwduN1vrNRqYtNnM90fjMnr30Cyw1Kk9/Yg3nKOf9+VoJFBrl75yPc+j5KWcm+ii2eBkBBBBAAAEEELh8Ah+o7sn1qghJynxcNc2fyDA+UfNvt2lhoK8oPtaJAy+oIhRQZulv1WoYMtpPqrJwmqRjOvjeB9Zv7ztO1OiZimOScrWq5rTaDUPtzZt13R9/K3PahI/MzapvbZfR/hs9+p3RjubpGmeaFpYfVavRrtb6zco0X6h7SjtVpHfMMVt/q9JMc3ENqnzrVHhzedfBCT7LVXHlO9b62k9XqtByeUsHj521+nY0vaQViysUUnRe0+G0alblSnpFK4t+qYa2icrf8bbqS61oNKW0Xp8Zb6ooIzluvisUyH9an9WXaor5ypRS1X9m6ERRhq7oaNLeFav0fEgKLNweXouZq5rHlamQ6lb+TE83fBg3nvn0IzW++W8yz4kEimt03syT8VfVl94ejm91lZrM0yzm+KtLVaeAMldVq7k9Zh2hp7TsyUNqkbOc24OIfp3FGBnn9U55oQKhCq35Zb2i53Dsx3ZvoZjo7sEzBBBAAAEEEEDAPYGOD3Ty7WbzXasWLi9UduBKSVcqMPMeFSzI6COuUUor3CvDOKndWR+ouuolVay6X/OswkH66Ox5fWS++Tz0mqrNkXLv0aLMiTLfDPoDOfrJo4uUuF4JKHfBHH0r2S/5Ryt59GgH88SEGrhDBT+8QcnyK/mbf6fbrXflGVpQcLummmMm36Cs29NjDujj09x7tHjuVJlv+/0Tb9Ltt1oDRg6KXd9DemTRNKuf/BOV/ZMSFZsLrPs3vdn4UR+T9P1yx4n/pz3VZvl1l9Y9ck94LWauspfq0WIzV6/o6TffTVAcXakJ1/83yzq0KUdTC8r0UlWtTv3Xfw4XDAcKlWYm5c9/0EFr/B9o+fIsBaxETVT2+gMy/0xc88ZspchJzhOs5fNTequywSoyn188XWOsy93G6utWESaFdr6h+pbuF44lGMVqYgN2TzK0I4AAAggggAACl1ug42869675BjVDE67+YszsozR2/JiY54k+7VDb8Z1amr3I+m15fI/R48dqtD5X67nwb/ADN07WhM5fK/s1euw4jY4/yHoe1I2Tr7GKjvDLTuaJGWj0OI0d3TlR5IUxGj92VEynfnw64WqN6Rzuy7pu+rWS/hQZoGt9U279pq7v7Cdp9FiNtxb4Jx099Vcp48v9mNTetaP1XHgfxZSZ+ub1sWvpytW7R0/prDLiirQrNXHuI9q//UsqWrRJdc+v1F3PR8c3z7ps1aP5UzWq+T0djjb3+LGfuYiOc/aUjlqbQKINcR9D5/Th3zqklFjAuD6Rp333SHwcrQgggAACCCCAAAIDLeD/ksZNMX993qy3T4YvSwpP8bHOn23tfbbOy24Cyix+VpX76tXc3tp5KU/44Cs0Ztx469PQ2yf1fucvnzv00flzSvz7+rg3/o7m6T3UwXu1a33vvv47vde5PvPqovM6ay3wWk2/7tIKCTN+/5hx4Uuf3j2i3733ccySunI1Zfp1CmvHvGwdHFBGwUa9aV761fimKisr9WLpQgVUrU3zHtPepo91RfB63WIddk4ftvbwxy0uNhdfuloTrNNQmSqtb7XOdJhnO7r+e1r5AWfnHCgm4nLLUwQQQAABBBBAwDUB/2TNumeW+RfpVL1zj+pCn0r6VKEje7Rjp3lZSi+PtmY1HjXPanxF19+cq7l3Zuirf/53Vb7SGHPQKKXOuk3m7gFV79H2ujPhfRShGm1Yu73nPRMxI8jRPLEHXM7PY9e3RU9sPxa+q1LHGdVu2KhNJk/mD5SVnvgcTH8i9ad+V/fkmu/IX9SaJ/boeJtZuXyqUO1TWrvJzNXteiBrimxvyTtOqWqxeaeuoLJW16g1NVP5+fnK//s7Ncd6gx+J4qs3aLY1/iHt3P5/I3fjatHxisXhu3DlVajpvJOcJ1hVyjeUZ102V6fNT1aGYzeNVofv7BQsqWXPRAI2mhBAAAEEEEAAgSEuMEqpeT8Kbyque1w5wavk812l4M3LEl661G0xyVN085zwZuuKeZOV5PMpKVigg/ov1mU24T0Tkj81R0usTdnV+nnOpEi/h3XqazfHXY7TbfSuJw7n6Trg8n7mT8vXemsz8zF17gdImqScn5s7RW5Xadm9yjD3aijmLEaPt4YNx951FiLm1rD+NN29fqW1oTz0/CJ9fUxSOFc5j4c3TZc+pgcyrrYv3n+tcv+xMLxJ++e5CiaFbw2bNGmetfE+UPgj5aWOkjrHD6mus190X0OuVpXkKXWss5zbgxinmfcutzb1d8YeNQoUat29M5RiPyhhC2cmErLQiAACCCCAAAIIuCPgnzhXW+teU+lCszAwb/mzUKXV9aqJ3Hmox6j812nuunJtL7bOO1h3ayrevk8v7fon3Wqe64huqvVfp/ytlaq2LquJjl+ppx68pYc9E3EzOp0n7rDL9/RqZRTtVmPNC12G5h2RistV07hbRZ1v8Ecpdc4KbY4660sy/55Fooc/dY7WbjYvQzIfAV2rdn1sbijPWKH9jW9GLlGKHJlZrPKaOu0vmhne/G0bMHpcjco7c2V2ylVxeY3qts7VROsdutlvqXbXV8asw/xyKFVl/Xaty54o/0Xnwq/kqQv0VF33GAILN6u6bosKpzotJSSfeddY2xppQAABBBBAAAEEEBiWAuYfk5tq/RG2aSqs/LWey79Ofn2ohrL5mrHyFWlhpZp35Ds7SzEshVhUfwQoJvqjRV8EEEAAAQQQQMDrAm1HVHbHXK2sMzcQxD9iC4z413iOgF2Ay5zsJrQggAACCCCAAALDVyB5ph7evV+V0cucoiu1Ls+p1FbrTEW0kY8I9C7AmYnefXgVAQQQQAABBBBAAAEEehDgzEQPMDQjgAACCCCAAAIIIIBA7wIUE7378CoCCCCAAAIIIIAAAgj0IEAx0QMMzQgggAACCCCAAAIIINC7QLc/yufz+XrvzasIIIAAAggggAACCCAwIgUS/UWJbsWEqZKo04jUYtEIIIAAAggggAACCCBgCfR00oHLnPgCQQABBBBAAAEEEPCkQE9vcD25GI8GTTHh0cQRNgIIIIAAAggggAACbgtQTLidAeZHAAEEEEAAAQQQQMCjAhQTHk0cYSOAAAIIIIAAAggg4LYAxYTbGWB+BBBAAAEEEEAAAQQ8KkAx4dHEETYCCCCAAAIIIIAAAm4LUEy4nQHmRwABBBBAAAEEEEDAowIUEx5NHGEjgAACCCCAAAIIIOC2AMWE2xlgfgQQQAABBBBAAAEEPCpAMeHRxBE2AggggAACCCCAAAJuC1BMuJ0B5kcAAQQQQAABBBBAwKMCFBMeTRxhI4AAAggggAACCCDgtgDFhNsZYH4EEEAAAQQQQAABBDwqQDHh0cQRNgIIIIDA0BM4ffq0fD6f3n777aEXHBEhgAACgyBAMTEIqAyJAAIIIDAyBZ588klr4Y8//rguXLgwMhFYNQIIjCgBiokRlW4WiwACCCAwWALV1dVqamqyhk9LS9OLL744WFMxLgIIIDBkBHyGYRjRaMxTszFPo818RAABBBBAAIFeBM6dO6fbbrtNu3btUnp6uv7yl790PjcLCx4IIDA4Arx3HRzXRKP2ZM2ZiURatCGAAAIIINAPgaeffloLFy5UtHAYN26cfvKTn6i0tLQfo9AVAQQQ8J4AxYT3ckbECCCAAAJDSMDcdL1v3z4tXry4W1T5+fnWc/PyJx4IIIDAcBXgMqfhmlnWhQACCCBwWQTMjdbmf+bZCPMReymAefmT+Yi+Zj3hfwggMGACsd9vAzYoAyUU6MmaYiIhF40IIIAAAghcnEBP/+Be3GgchQACvQnw/dabzsC+1pM1lzkNrDOjIYAAAgiYAh3HVZEXVLCkVi2DLWLNlaq8iuPqGOy5GB8BBBBAoJvAFd2e8QQBBBBAAIGBEPBPVeGBZhUOxFiMgQACCCAwZAU4MzFkU0NgCCCAAAIIIIAAAggMbQGKiaGdH6JDAIFhJtAROqIdJXnWJl2fb7oKyg6oqS3m4py2JtVWlCjL5wv3ySpRRW2T2qIOLbUqCQaV99zrOrKjq1+wYItebwpfUNTRVKE8392qaPo4elT4o3XsDJXUfhB+3hFSQ8wYvh7myip5UmUF0614Oi9bamvS62UFClpxmuvYqQpzXcHVqm3piLvMqUMttasV9N2t52rrel+/WtT0+hYVBMPrDxaU6SXLIybu7qtK/Mzh2npztAaOz4cvTyUVtd1zljgCWhFAAIERIUAxMSLSzCIRQGAoCHScqdJ9GXO1XUvU2Nouo/VfNftokTJX7NMZs55oO6aKpfM0/+DXtLH5ExnGJ2re+DUdnJ+pO8qOdBUUCqn6/jJVjrlX+w1DRvtp7Zr4mnKXlKuhrUP+1O/qnty3tOfQyZg9BB1qqX9DO5WrvBnjpI5TqrovV3fURudqV+svbtDB+fO0oupUzHEh1e38ncatOiyj/c+qu3+GUsxjV8xTwdFs1ZrrMA5r1bg6rdnU1y1QX9T9a6s1ZvGL1h9IbW/erImvLNWSp+sja/tUZ6pWK7PgmGbXnpdhtKtp1XjtX7NJdf1JYD/W1puj9KEann5Y8w/eoF9Y6zTU3lykpJ33a/nephij/gRHXwQQQGCYCZh/ATv6kMyf7zwQGCyBC0Zj+V2GcsuNxvae5mg3ztesMgLKMIprzvbU6SLa243WxteM0lW/6mXuixiWQxBwLBD5+g+sMmrOR78Bol/vdxnljX8Lf+0HlhqVpz+JGTW2zwXDOF9jFAdkBIprjPOdveL6GJG5Mjcb9a3Ruc4aNcUZkePi+0cHirRHY+xtLluc4fEVPbb9HaM8NxA3X/z3deSY6M8Ea75pRmHlSSMatWFEY40/NhqzYRjWXFOM3PJ3jPbO/qbphdhOEd+If29rU+TYbuPGDNXHp/xb2gcQLyMwgAJ8vw0gZh9D9WTNmYlhVhx6fzl+pWSvV7NRr43Z1wzgcs7pSPkjWtkQd9nHAM7AUAj0KtBxUof2HJKmp2pScvRHb/Trfa8K0z5S/YFqhaZ/W9MCV8YM5VfypFRN13tqPN15sVPM6+an8X1GKTXvRyps/JX2Hgn/nYOOM7/Rr3ZO0MN3f1spOheeK5CqyRMSzBWq1oH68HFxE0nRY21xJmtS+vX27r22RI45ekKn2z4PnzkJfV23TPuqokJda+t1oJgXL2VtcY7+CfrmrVNVveaX2nekVlWxl5vFzMinCCCAwEgW6Pp5PZIVWDsCCCDgtkDHBzr5dnMvUTTr7ZMfOL60xj/x7/QPC6SdB36vFn2sEwdeUMX0fP3gW1d3zRH6uXLGJkX2b4T3KCSlL1ZfFyt1DTCEPxuQtV2tjKLdatx1sz6s3Kh5Oeka4wsqq6RCtZH9KUNYgNAQQACByyJAMXFZmEfKJC1qqq1QSVYw8uakp42K/6lj3TZYdm0claIbNbtvtuy+abWHf8zjNlx2bUj9QLUltylnU4NUvVjpSd3HHinZYZ1DXMB/jSbfGOwlyKBunHxNzG/se+lqvTROM/JypZ1vqP7D93Roz1vKvee7So39qZ9brsZ2w9q/YJh7Lzr/G+gzg33FOgivD9jaUpSWna/CjQfCe1jqt+n297coJ3NDeKP5IITOkAgggICXBGL/WfFS3MQ65ARadLziIWXOP6gJGxvUbpgbFR/ThIMrlH7HVmtTaGfI1au0bPeVWtpgbjA9r7o7z2p9+o9V1vBhZ5fYT8KbVherdsJjarbe+BzXL9IPa37malWd+TTcNbLhcsb2JC1vNDdunlft7GMqsPqkKHvja6opzpCsNxjD4I1SLBCfe0PAP1mz7pklWZf0dN29KXznpaDyKv5T38rLVeDoWzoWinxdWyvrUNvpEzqq65U+Kbkfa/UrZcb3tEDVeuX/vKA91d/WPbMmR4qRcKGRcK6GLcpKdCeozpmjx5qXJnWtQ2rT6cb3Onv1/5NIvIH4y7mi63c6YjS+BI59rq2vOa5UIGOu7i+4Q4HQCZ18PzZPfR3L6wgggMDwFKCYGJ55vfyraqnXL9cc0ZxtP9OKmQHrDYs/cIse+petKm4s1erYO58Elmrb+vs007ouPEVp+Q/r0eL3tXnvWwn+Uu4HqntyvSqmP6RHVtyigPUVm6KphRu1a8F/aNmTh6xjOk7U6JmKq1T86MPKT0uRlKKpP/wHLVCVnjnwnuNLQy4/HDOOHIFRSp1zn1al79XaDTUKme/DO86obvseVWeu1Pq7p+rLM3+sdbce1LLVz+mIVVB0qO34Ti2fv13ppUW6O21U/7hSvq27H56gzSvXqjr3Ns1KjR7vV0rmEm2bEzdX0z6tLXpK6nWu6LHVWvvEvsgtUlvUVLVZa82zf5fySJmlB7d9RzvXblaVdRlRh9qa9umJtdsVcjxuNL6LWVvcJJG/rJ1VUtV1K9i2Jr1xoEEq/JHyOj3jjuMpAgggMIIEKCZGULIHb6mRW07aNk5KSg4qfbp0tLG567aWPWzcDJmXY5j3p499tPxeB3Y2KHDjZE3o9tUa3rgZPuYjnTj0mqrjf3Obkq2Nzc06UDi1H5eGxE7O5wgMrIA/cKvW7d6tRe1lCib55Eu6SWvb56t+91JlmJuyk6ep8KlK7Zr9R5UEr5LPl6Qx/+MPmr2rTvuLZqo/5yXCkV+tb/0gX7mapsIlOd0vcfJfp/ytcXNlvqzxy/do98N9zGUdu1urx7+szDHmnotb9MR7M7S8dO4lgl2pifnrVbd6vF7OHGutP+2JU8pe/qBy+zPypawtdh7/VC3avkfLO9fpk2/MXXp5/BLtX/d9Tez2Myn2QD5HAAEERo6Az7wLVHS5Pp/PumY2+pyPCDgT+FhNFQuVvlgqb3xehbG/PTV/szcnW4u1To2v/ljavlDpe25T46uFSuv8hzhy/JpU1Rz/mWbUP6apOdVaUPOaNs74vUqm5mhTT7+WDKxSzfE1mvTSosTzdy4gsm/i7X+Mm7uzA58ggMAlCYS/jzMbH9Dxjdkyzw8O1MO8FGxO5gmVHF+n7JTOHxwDNfyAj8O/pQNOyoAI9CjA91uPNAP+Qk/WQ/+n8oBTMODAC1ypCZNTFehlYPuZhV46214KKLf8HWsfRtcG0chm0eb1nnhzYVsSDQh4ViByk4TgYlUcD//FbelThY6U64k1H0VuPXuRi7P+Qvd0FVQc6zyT2RE6rK1P/G99+vBczfRAIXGRK+cwBBBAwLMCFBOeTZ07gZ8+fTrBxNGNk+/o8LE/d9+f0NasxqPS9PRg1yUacRtQoxs3Awu+pxnxbxZSvqG8BUEdPfyH8DXmnbN/qIay78uXV6GmjlFKnXWbcuPvw29d7xyM9Ok8kE8QQOCSBMw9Ccu1f9vXdTDbvBTJvKXsVcp46oLu3P+cHs6IufVsf+dJmaX/uf+fNf3g32uMNa5PSRnPqv3OZ/q+9Kq/c9EfAQQQQGBABCgmBoRxZAxSVVWla6+9VufOJfhjVikzdO+6mXp12WPaeiQULijajqli+QptSjc3l6Z17VsIbe+2cfN4RYnm7/yOtj04K8GlEdco88HVmvPqT7V66+FIQWFu9tykopVS6fp863Ipf2qeSlZ9RZvWPqVaa+PqpwrV7dHO6m9H+sT+Qa2P1db2+chIGqtEYDAE/AFl5BdpR3PX7WSbdxQpPyN884WLn9K8W1K+inYc7bpNbfMOFeVnRG6+cPEjcyQCCCCAwOAIUEwMjuuwG9U8IzFv3jxrXRs2bEiwPvMOS1tUt2u23i/JUJL5W8Ux/6TG2VvVuH9FeHNp9KjcB7U8+5SeSDM3bo5V9sFp2lG3XvkTY/8Sb7Sz5J84V1vrtmr2+z8Lb1r1jVXmy+O0vD7mt6D+icpet131iz7SWmvj6lUKrv1Iizr7RO6k8+kapSddr3l7T3Q/g9I1HZ8hgAACCCCAAAIIOBRgA7ZDqJHe7b777tOcOXOsguLOO+/UypUrdcsttwwCi3k99hpNzTmhdfGbuQdhNoZEAAEEBlqgp02KAz0P4yGAgKxLLWPuJQTJIAr09LONMxODiD5chq6urtbZs2eVn59vLWnTpk166KGHdOHChcFbYiBVkyckPlMxeJMyMgIIIIAAAggggEB/BCgm+qM1Avua+yPWrFkjs4CIPtLS0jR37lxt2bIl2jQwH607uSRpbM5+3brux9y5ZWBUGQUBBBBAAAEEEBg0AS5zGjTa4TGwuem6ra1NCxcutBYUPcVlnpWYPXu2zNcnTZo0PBbLKhBAAIEBEIj+nByAoRgCAQT6EOD7rQ+gAXy5J2uKiQFEHglD9fSFNBLWzhoRQAABJwL8nHSiRB8EBkaA77eBcXQySk/WXObkRI8+CCCAAAIIIIAAAgggYBOgmLCR0IAAAggggAACCCCAAAJOBCgmnCjRBwEEEEAAAQQQQAABBGwCFBM2EhoQQAABBBBAAAEEEEDAiQDFhBMl+iCAAAIIIIAAAggggIBNgGLCRkIDAggggAACCCCAAAIIOBGgmHCiRB8EEEAAAQQQQAABBBCwCVBM2EhoQAABBBBAAAEEEEAAAScCFBNOlOiDAAIIIIAAAggggAACNgGKCRsJDQgggAACCCCAAAIIIOBEgGLCiRJ9EEAAAQQQQAABBBBAwCZAMWEjoQEBBBBAAAEEEEAAAQScCFBMOFGiDwIIIIAAAggggAACCNgEKCZsJDQggAACCCCAAAIIIICAEwGKCSdK9EEAAQQQQAABBBBAAAGbAMWEjYQGBBBAAAEEEEAAAQQQcCJAMeFEiT4IIIAAAggggAACCCBgE6CYsJHQgAACCCCAAAIIIIAAAk4EKCacKNEHAQQQQAABBBBAAAEEbAIUEzYSGhBAAAEEEEAAAQQQQMCJAMWEEyX6IIAAAggggAACCCCAgE2AYsJGQgMCCCCAAAIIIIAAAgg4EaCYcKJEHwQQQAABBBBAAAEEELAJUEzYSGhAAAEEEEAAAQQQQAABJwIUE06U6IMAAggggAACCCCAAAI2AYoJGwkNCCCAAAIIIIAAAggg4ESAYsKJEn0QQAABBBBAAAEEEEDAJkAxYSOhAQEEEEAAAQQQQAABBJwIUEw4UaIPAggggAACCCCAAAII2AQoJmwkNCCAAAIIIIAAAggggIATAYoJJ0r0QQABBBBAAAEEEEAAAZsAxYSNhAYEEEAAAQQQQAABBBBwIkAx4USJPggggAACCCCAAAIIIGAToJiwkdCAAAIIIIAAAggggAACTgQoJpwo0QcBBBBAAAEEEEAAAQRsAhQTNhIaEEAAAQQQQAABBBBAwIkAxYQTJfoggAACCCCAAAIIIICATYBiwkZCAwIIIIAAAggggAACCDgRoJhwokQfBBBAAAEEEEAAAQQQsAlQTNhIaEAAAQQQQAABBBBAAAEnAhQTTpTogwACCCCAAAIIIIAAAjYBigkbCQ0IIIAAAggggAACCCDgRIBiwokSfRBAAAEEEEAAAQQQQMAmQDFhI6EBAQQQQAABBBBAAAEEnAhQTDhRog8CCCCAAAIIIIAAAgjYBCgmbCQ0IIAAAggggAACCCCAgBMBigknSvRBAAEEEEAAAQQQQAABmwDFhI2EBgQQQAABBBBAAAEEEHAiQDHhRIk+CCCAAAIIIIAAAgggYBOgmLCR0IAAAggggAACCCCAAAJOBCgmnCjRBwEEEEAAAQQQQAABBGwCFBM2EhoQQAABBBBAAAEEEEDAiQDFhBMl+iCAAAIIIIAAAggggIBNgGLCRkIDAggggAACCCCAAAIIOBGgmHCiRB8EEEAAAQQQQAABBBCwCVBM2EhoQAABBBBAAAEEEEAAAScCFBNOlOiDAAIIIIAAAggggAACNugnhXUAABQ2SURBVAGKCRsJDQgggAACCCCAAAIIIOBEgGLCiRJ9EEAAAQQQQAABBBBAwCZAMWEjoQEBBBBAAAEEEEAAAQScCFBMOFGiDwIIIIAAAggggAACCNgEKCZsJDQggAACCCCAAAIIIICAEwGKCSdK9EEAAQQQQAABBBBAAAGbAMWEjYQGBBBAAAEEEEAAAQQQcCJAMeFEiT4IIIAAAggggAACCCBgE6CYsJHQgAACCCCAAAIIIIAAAk4EKCacKNEHAQQQQAABBBBAAAEEbAIUEzYSGhBAAAEEEEAAAQQQQMCJAMWEEyX6IIAAAggggAACCCCAgE2AYsJGQgMCCCCAAAIIIIAAAgg4EaCYcKJEHwQQQAABBBBAAAEEELAJUEzYSGhAAAEEEEAAAQQQQAABJwIUE06U6IMAAggggAACCCCAAAI2AYoJGwkNCCCAAAIIIIAAAggg4ESAYsKJEn0QQAABBBBAAAEEEEDAJkAxYSOhAQEEEEAAAQQQQAABBJwIUEw4UaIPAggggAACCCCAAAII2AQoJmwkNCCAAAIIIIAAAggggIATAYoJJ0r0QQABBBBAAAEEEEAAAZsAxYSNhAYEEEAAAQQQQAABBBBwIkAx4USJPggggAACCCCAAAIIIGAToJiwkdCAAAIIIIAAAggggAACTgQoJpwo0QcBBBBAAAEEEEAAAQRsAhQTNhIaEEAAAQQQQAABBBBAwIkAxYQTJfoggAACCCCAAAIIIICATYBiwkZCAwIIIIAAAggggAACCDgRoJhwokQfBBBAAAEEEEAAAQQQsAlQTNhIaEAAAQQQQAABBBBAAAEnAhQTTpTogwACCCCAAAIIIIAAAjYBigkbCQ0IIIAAAggggAACCCDgRIBiwokSfRBAAAEEEEAAAQQQQMAmQDFhI6EBAQQQQAABBBBAAAEEnAhQTDhRog8CCCCAAAIIIIAAAgjYBCgmbCQ0IIAAAggggAACCCCAgBMBigknSvRBAAEEEEAAAQQQQAABmwDFhI2EBgQQQAABBBBAAAEEEHAiQDHhRIk+CCCAAAIIIIAAAgggYBOgmLCR0IAAAggggAACCCCAAAJOBCgmnCjRBwEEEEAAAQQQQAABBGwCFBM2EhoQQAABBBBAAAEEEEDAiQDFhBMl+iCAAAIIIIAAAggggIBNgGLCRkIDAggggAACCCCAAAIIOBGgmHCiRB8EEEAAAQQQQAABBBCwCVxhaxnCDT6fbwhHN3JCIw8jJ9esFAEELk6An5MX58ZRCCDgPQFPFROGYXhPmIgRQAABBEaUgFlI8O/ViEo5i3VRgMLdRfzI1Fzm5H4OiAABBBBAAAEEEEAAAU8KUEx4Mm0EjQACCCCAAAIIIICA+wIUE+7ngAgQQAABBBBAAAEEEPCkAMWEJ9NG0AgggAACCCCAAAIIuC9AMeF+DogAAQQQQAABBBBAAAFPClBMeDJtBI0AAggggAACCCCAgPsCFBPu54AIEEAAAQQQQAABBBDwpADFhCfTRtAIIIAAAggggAACCLgvQDHhfg6IAAEEEEAAAQQQQAABTwpQTHgybQSNAAIIIIAAAggggID7AhQT7ueACBBAAAEEEEAAAQQQ8KQAxYQn00bQCCCAAAIIIIAAAgi4L0Ax4X4OiAABBBBAAAEEEEAAAU8KUEx4Mm0EjQACCCCAAAIIIICA+wIUE+7ngAgQQAABBBBAAAEEEPCkAMWEJ9NG0AgggAACCCCAAAIIuC9AMeF+DogAAQQQQAABBBBAAAFPClBMeDJtBI0AAggggAACCCCAgPsCFBPu54AIEEAAAQQQQAABBBDwpADFhCfTRtAIIIAAAggggAACCLgvQDHhfg6IAAEEEEAAAQQQQAABTwpQTHgybQSNAAIIIIAAAggggID7AhQT7ueACBBAAAEEEEAAAQQQ8KQAxYQn00bQCCCAAAIIIIAAAgi4L0Ax4X4OiAABBBBAAAEEEEAAAU8KUEx4Mm0EjQACCCCAAAIIIICA+wIUE+7ngAgQQAABBBBAAAEEEPCkAMWEJ9NG0AgggAACCCCAAAIIuC9AMeF+DogAAQQQQAABBBBAAAFPClBMeDJtBI0AAggggAACCCCAgPsCFBPu54AIEEAAAQQQQAABBBDwpADFhCfTRtAIIIAAAggggAACCLgvQDHhfg6IAAEEEEAAAQQQQAABTwpQTHgybQSNAAIIIIAAAggggID7AhQT7ueACBBAAAEEEEAAAQQQ8KQAxYQn00bQCCCAAAIIIIAAAgi4L0Ax4X4OiAABBBBAAAEEEEAAAU8KUEx4Mm0EjQACCCCAAAIIIICA+wIUE+7ngAgQQAABBBBAAAEEEPCkAMWEJ9NG0AgggAACCCCAAAIIuC9AMeF+DogAAQQQQAABBBBAAAFPClBMeDJtBI0AAggggAACCCCAgPsCFBPu54AIEEAAAQQQQAABBBDwpADFhCfTRtAIIIAAAggggAACCLgvQDHhfg6IAAEEEEAAAQQQQAABTwpQTHgybQSNAAIIIIAAAggggID7AhQT7ueACBBAAAEEEEAAAQQQ8KQAxYQn00bQCCCAAAIIIIAAAgi4L0Ax4X4OiAABBBBAAAEEEEAAAU8KUEx4Mm0EjQACCCCAAAIIIICA+wIUE+7ngAgQQAABBBBAAAEEEPCkAMWEJ9NG0AgggAACCCCAAAIIuC9AMeF+DogAAQQQQAABBBBAAAFPClBMeDJtBI0AAggggAACCCCAgPsCFBPu54AIEEAAAQQQQAABBBDwpADFhCfTRtAIIIAAAggggAACCLgvQDHhfg6IAAEEEEAAAQQQQAABTwpQTHgybQSNAAIIIIAAAggggID7AhQT7ueACBBAAAEEEEAAAQQQ8KQAxYQn00bQCCCAAAIIIIAAAgi4L0Ax4X4OiAABBBBAAAEEEEAAAU8KUEx4Mm0EjQACCCCAAAIIIICA+wIUE+7ngAgQQAABBBBAAAEEEPCkAMWEJ9NG0AgggAACCCCAAAIIuC9AMeF+DogAAQQQQAABBBBAAAFPClBMeDJtBI0AAggggAACCCCAgPsCFBPu54AIEEAAAQQQQAABBBDwpADFhCfTRtAIIIAAAggggAACCLgvQDHhfg6IAAEEEEAAAQQQQAABTwpQTHgybQSNAAIIIIAAAggggID7AhQT7ueACBBAAAEEEEAAAQQQ8KQAxYQn00bQCCCAAAIIIIAAAgi4L0Ax4X4OiAABBBBAAAEEEEAAAU8KUEx4Mm0EjQACCCCAAAIIIICA+wIUE+7ngAgQQAABBBBAAAEEEPCkAMWEJ9NG0AgggAACCCCAAAIIuC9AMeF+DogAAQQQQAABBBBAAAFPClBMeDJtBI0AAggggAACCCCAgPsCFBPu54AIEEAAAQQQQAABBBDwpADFhCfTRtAIIIAAAggggAACCLgvQDHhfg6IAAEEEEAAAQQQQAABTwpQTHgybQSNAAIIIIAAAggggID7AhQT7ueACBBAAAEEEEAAAQQQ8KQAxYQn00bQCCCAAAIIIIAAAgi4L0Ax4X4OiAABBBBAAAEEEEAAAU8KUEx4Mm0EjQACCCCAAAIIIICA+wIUE+7ngAgQQAABBBBAAAEEEPCkAMWEJ9NG0AgggAACCCCAAAIIuC9AMeF+DogAAQQQQAABBBBAAAFPClBMeDJtBI0AAggggAACCCCAgPsCFBPu54AIEEAAAQQQQAABBBDwpADFhCfTRtAIIIAAAggggAACCLgvQDHhfg6IAAEEEEAAAQQQQAABTwpQTHgybQSNAAIIIIAAAggggID7AhQT7ueACBBAAAEEEEAAAQQQ8KQAxYQn00bQCCCAAAIIIIAAAgi4L0Ax4X4OiAABBBBAAAEEEEAAAU8KUEx4Mm0EjQACCCCAAAIIIICA+wIUE+7ngAgQQAABBBBAAAEEEPCkAMWEJ9NG0AgggAACCCCAAAIIuC9AMeF+DogAAQQQQAABBBBAAAFPClBMeDJtBI0AAggggAACCCCAgPsCFBPu54AIEEAAAQQQQAABBBDwpADFhCfTRtAIIIAAAggggAACCLgvQDHhfg6IAAEEEEAAAQQQQAABTwpQTHgybQSNAAIIIIAAAggggID7AhQT7ueACBBAAAEEEEAAAQQQ8KQAxYQn00bQCCCAAAIIIIAAAgi4L0Ax4X4OiAABBBBAAAEEEEAAAU8KUEx4Mm0EjQACCCCAAAIIIICA+wIUE+7ngAgQQAABBBBAAAEEEPCkAMWEJ9NG0AgggAACCCCAAAIIuC9AMeF+DogAAQQQQAABBBBAAAFPClBMeDJtBI0AAggggAACCCCAgPsCFBPu54AIEEAAAQQQQAABBBDwpADFhCfTRtAIIIAAAggggAACCLgvQDHhfg6IAAEEEEAAAQQQQAABTwpQTHgybQSNAAIIIIAAAggggID7AhQT7ueACBBAAAEEEEAAAQQQ8KQAxYQn00bQCCCAAAIIIIAAAgi4L0Ax4X4OiAABBBBAAAEEEEAAAU8KUEx4Mm0EjQACCCCAAAIIIICA+wIUE+7ngAgQQAABBBBAAAEEEPCkAMWEJ9NG0AgggAACCCCAAAIIuC9AMeF+DogAAQQQQAABBBBAAAFPClBMeDJtBI0AAggggAACCCCAgPsCFBPu54AIEEAAAQQ8LHD69GlVVVUlXMHhw4dl/scDAQQQGK4CFBPDNbOsCwEEEEDgsgiMHj1aGzZsUFNTU7f5zp07p4ceekjjx4/v1s4TBBBAYDgJUEwMp2yyFgQQQACByy4wbtw4rVu3TsXFxbpw4ULn/GaBsWzZMqWlpXW28QkCCCAw3AQoJoZbRlkPAggggMBlF8jNzbWKhldffdWa27y0yTxTcdddd132WJgQAQQQuJwCPsMwjOiEPp9PMU+jzXxEAAEEEEAAgT4EzMuavvKVr1i9brrpJj377LO68cYb+ziKlxFA4FIEeO96KXr9O7Yna85M9M+R3ggggAACCCQUMC93qqystF6bO3cuhURCJRoRQGC4CXBmYrhllPUggAACCLgqsG3bNi1evFhf/OIXXY2DyREYCQI9/bZ8JKz9cq+xJ2uKicudCeZDAAEEEEAAAQQQGBCBnt7gDsjgDNJNoCdrLnPqxsQTBBBAAAEEEEAAAQQQcCpAMeFUin4IIIAAAggggIBnBTrU1lSripI8mb9htv7LKlFFbZPaYtbUETqiHZ19pqug7ICa2jokdaildrWCvjyVPLdBBUFzjBkqqf3AOrr7cUFllVSotqklZmRziJAadpQoq6f5W2pVEgwq77nXdSSmX7Bgi16PH6v7yDxzUYBiwkV8pkYAAQQQQAABBC6LQFu9nl5SrIPp/0uthiHD+ETNj47Wzpw12tv0sRVCx5kq3ZcxV9u1RI2t7TJa/1WzjxYpc8U+nTHrCetRrZ2HAlrV1K725j26f+Y4hY9brNoJj6m53Rz7uH6RfljzM1er6syn4cM6TqnqvlzdUfs1bWz+RIbRrtZf3KCD8+dpRdUpdQ6vkKrvL1PlmHu134yz/bR2TXxNuUvK1WAVNZEw+DBkBCgmhkwqCAQBBBBAAAEEEBgcgY7mY3q97nrNnpWqZGuKKxXI/qneNPaqMG2UpI914sALqtAiPfrIXKUl+6XkG/TDgjukihd04ES44JAytKDgdk1N9ssfmKIpyedU9+R6VUx/SI+suEUB651liqYWbtSuBf+hZU8eUot5VqPuGS2r+LrWPbJYMwNXSvIreeoC/cuuO/TqsmdU19JVTgSKS/RI/tRwnP6AZnwvQ4G6f9fvmiOFyeAQMepFClBMXCQchyGAAAIIIIAAAl4R8Aen6dbMQ1pT/msdqf11gkuQTurQnkPS9FRNMgsJ6+FXSvZ6NXcWHAlW2/J7HdjZoMCNkzUhepjVLVmT0q9XaOcbqm/5QPUHqhUKpGryBLOQiD78Sp6Uqumhah2oPxdtjPsY6aP31Hg69oKsuG48dU2gW9pdi4KJEUAAAQQQQAABBAZPIHmmivbXadfNf1Xl2vuVkz5WPnP/Q0VtZE/EpU0d2pSjsdG9ENbHLyp98YvdBw39XDljk7r2bPh8SkpfrOruvXjmMQGKCY8ljHARQAABBBBAAIGLEkhOU3b+fdr4ZrOM9mbVV96q99fkKHNtneK2Svdz+IByy99Ru7UXw9wzEfNf83plp0TebuaWq9HaUxHzutW3Xhuzr+nnnHQfKgIUE0MlE8SBAAIIIIAAAghcLgF/QBn5i1SwIEOht0/qfU3WrHtmSUdP6HTMRueOpgrl+YLKqziu9kSxpXxDeQuCOnr4Dwp1bXuQ9KEayr4vX16FmjrGaUZergJH39KxUOy+hw61NWxRlu9uVUQ2gSeagrahLUAxMbTzQ3QIIIAAAggggMAlC4SLgjyVVB2P3ArWvFXsb3TgiFS4JEep/lFKnXOfVqXv1doNNeHCoOOM6rbvUXXmSq2/O01JCaO4RpkPrtacV3+q1VsPRwqKFjVVbVLRSql0fb7S/H6lZC7RtjkHtWz1czpiFRTm/Pu0tugpqbRId1ubwBNOQOMQF6CYGOIJIjwEEEAAAQQQQOBSBfxp87W9fonGv3yXxlh7GpI0JvNljV/+jNbNvU7mG0J/4Fat271bi9rLFEzyyZd0k9a2z1f97qXK6NyUbY/EP3GuttZt1ez3fxY+zjdWmS+P0/L65/RwxtXhA/zXKX9rpXbN/qNKglfJ54vOv0e7H54ZucOUfWxahr6AzzAvbIs8evoz2dHX+YgAAggggAACCCCAwFAR4L3r5ctET9ZXxIdgduSBAAIIIIAAAggggIAXBHjv6m6WuhUTMScp3I2K2RFAAAEEEEAAAQQQQGDIC7BnYsiniAARQAABBBBAAAEEEBiaAhQTQzMvRIUAAggggAACCCCAwJAX+P/ZUHEJ5qDzJgAAAABJRU5ErkJggg=="></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify whether the image is real or virtual.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The lens is 18 cm from the screen and the image is 0.40 times smaller than the object. Calculate the power of the lens, in cm<sup>–1</sup>.&nbsp;</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Light passing through this lens is subject to chromatic aberration. Discuss the effect that chromatic aberration has on the image formed on the screen.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A system consisting of a converging lens of focal length F<sub>1</sub> (lens 1) and a diverging lens (lens 2) are used to obtain the image of an object as shown on the scaled diagram. The focal length of lens 1 (F<sub>1</sub>) is 30 cm.</p>
<p><img 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"></p>
<p>Determine, using the ray diagram, the focal length of the diverging lens.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>image is real <strong>«</strong>as projected on a screen<strong>»</strong></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong>«</strong><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" - \frac{{18}}{u} = &nbsp;- 0.40">
  <mo>−</mo>
  <mfrac>
    <mrow>
      <mn>18</mn>
    </mrow>
    <mi>u</mi>
  </mfrac>
  <mo>=</mo>
  <mo>−</mo>
  <mn>0.40</mn>
</math></span>»</p>
<p><em>u</em> = 45</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{{45}} + \frac{1}{{18}} = \frac{1}{f}">
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>45</mn>
    </mrow>
  </mfrac>
  <mo>+</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>18</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mn>1</mn>
    <mi>f</mi>
  </mfrac>
</math></span></p>
<p><strong><em>OR</em></strong></p>
<p><em>f</em> = 13&nbsp;<strong>«</strong>cm<strong>»</strong></p>
<p><em>P</em> =&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{f}">
  <mfrac>
    <mn>1</mn>
    <mi>f</mi>
  </mfrac>
</math></span> =&nbsp;<strong>«</strong><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{{13}}">
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>13</mn>
    </mrow>
  </mfrac>
</math></span><strong>»</strong> = 0.078 <strong>«</strong>cm<sup>–1</sup><strong>»</strong></p>
<p>&nbsp;</p>
<p><em>Accept answer 7.7</em><strong><em>«</em></strong><em>D</em><strong><em>».</em></strong></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>refractive index depends on wavelength</p>
<p>light of different wavelengths have different focal points / refract differently</p>
<p>there will be coloured fringes around the image <strong>/ </strong>image will be blurred</p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>any 2 correct rays to find image from lens 1</p>
<p>ray to locate F<sub>2</sub></p>
<p>focal length = <strong>«</strong>–<strong>»</strong>70 <strong>«</strong>cm<strong>»</strong></p>
<p><img src="images/Schermafbeelding_2018-08-12_om_07.38.29.png" alt="M18/4/PHYSI/SP3/ENG/TZ1/08.b/M"></p>
<p>&nbsp;</p>
<p><em>Accept values in the range: 65 cm to 75 cm.</em></p>
<p><em>Accept correct MP3 from accepted range also if working is incorrect or unclear, award </em><strong><em>[1]</em></strong><em>.</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="background-color: #ffffff;">Communication signals are transmitted over long distances through optic fibres.</span></p>
</div>

<div class="specification">
<p><span style="background-color: #ffffff;">A signal is transmitted along an optic fibre with attenuation per unit length of 0.40 dB km<sup>–1</sup>. The signal must be amplified when the power of the signal has fallen to 0.02 % of the input power.</span></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">Describe why a higher data transfer rate is possible in optic fibres than in twisted pair cables.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">State <strong>one</strong> cause of attenuation in the optic fibre.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b(i).</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">Determine the distance at which the signal must be amplified.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b(ii).</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;">fibres have broader bandwidth than cables ✔<br>therefore can carry multiple signals simultaneously ✔</span></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;">absorption/scattering of light<br><em><strong>OR</strong></em><br>impurities in the «glass core of the» fibre ✔</span></p>
<div class="question_part_label">b(i).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;">attenuation =&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>10</mn><mo> </mo><mi>log</mi><mfenced><mrow><mn>2</mn><mo>×</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>4</mn></mrow></msup></mrow></mfenced><mo>=</mo><mo>-</mo><mn>37</mn></math> «dB» ✔<br>amplification required after&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>37</mn><mrow><mn>0</mn><mo>.</mo><mn>4</mn></mrow></mfrac><mo>=</mo><mn>92</mn></math> <em><strong>or</strong></em> 93 «km» ✔<br><em>NOTE: Allow ECF from mp1 for wrong dB value.(eg: 42 km if % symbol ignored).</em></span></p>
<div class="question_part_label">b(ii).</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b(i).</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b(ii).</div>
</div>
<br><hr><br><div class="specification">
<p>The diagram shows two light rays that form an intermediate image by the objective lens&nbsp;of an optical compound microscope. These rays are incident on the eyepiece lens.&nbsp;The focal points of the two lenses are marked.</p>
<p><img src="data:image/png;base64,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"></p>
</div>

<div class="specification">
<p>The object O is placed at a distance of 24.0 mm from the objective lens and the&nbsp;final image is formed at a distance 240 mm from the eyepiece lens. The focal length&nbsp;of the objective lens is 20.0 mm and that of the eyepiece lens is 60.0 mm. The&nbsp;near point of the observer is at a distance of 240 mm from the eyepiece lens.</p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw rays on the diagram to show the formation of the final image.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the distance between the lenses.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the magnification of the microscope.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>proper construction lines ✔</p>
<p>image at intersection of proper construction lines ✔</p>
<p> </p>
<p><img 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"></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>distance of intermediate image from objective is&nbsp;</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{v} = \frac{1}{{20}} - \frac{1}{{24}}">
  <mfrac>
    <mn>1</mn>
    <mi>v</mi>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>20</mn>
    </mrow>
  </mfrac>
  <mo>−</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>24</mn>
    </mrow>
  </mfrac>
</math></span> <em>ie:</em> <em>v</em> = 120 «mm» ✔</p>
<p>distance of intermediate image from eyepiece is</p>
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{u} = \frac{1}{{60}} - \left( { - \frac{1}{{240}}} \right)">
  <mfrac>
    <mn>1</mn>
    <mi>u</mi>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mn>1</mn>
    <mrow>
      <mn>60</mn>
    </mrow>
  </mfrac>
  <mo>−</mo>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mo>−</mo>
      <mfrac>
        <mn>1</mn>
        <mrow>
          <mn>240</mn>
        </mrow>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>&nbsp;<em>ie:</em>&nbsp;<em>u</em>&nbsp;= 48 «mm» ✔</p>
<p>lens separation 168 «mm»&nbsp;✔</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong>ALTERNATIVE 1:</strong></em></p>
<p>eyepiece: <em>m</em> =&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{ - v}}{u} = \frac{{240}}{{28}}">
  <mfrac>
    <mrow>
      <mo>−</mo>
      <mi>v</mi>
    </mrow>
    <mi>u</mi>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>240</mn>
    </mrow>
    <mrow>
      <mn>28</mn>
    </mrow>
  </mfrac>
</math></span> = 5&nbsp;✔</p>
<p><em><strong>AND</strong></em></p>
<p>objective&nbsp;<em>m</em>&nbsp;=&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{ - v}}{u} = \frac{{ - 120}}{{24}}">
  <mfrac>
    <mrow>
      <mo>−</mo>
      <mi>v</mi>
    </mrow>
    <mi>u</mi>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mo>−</mo>
      <mn>120</mn>
    </mrow>
    <mrow>
      <mn>24</mn>
    </mrow>
  </mfrac>
</math></span> =&nbsp;−5&nbsp;✔</p>
<p>Total&nbsp;<em>m</em>&nbsp;=&nbsp;−5&nbsp;× 5 =&nbsp;−25&nbsp;✔</p>
<p>&nbsp;</p>
<p><em><strong>ALTERNATIVE 2:</strong></em></p>
<p><em>m</em>&nbsp;=&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {\frac{{240}}{{60}} + 1} \right) \times \left( { - \frac{{120}}{{24}}} \right)">
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mrow>
          <mn>240</mn>
        </mrow>
        <mrow>
          <mn>60</mn>
        </mrow>
      </mfrac>
      <mo>+</mo>
      <mn>1</mn>
    </mrow>
    <mo>)</mo>
  </mrow>
  <mo>×</mo>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mo>−</mo>
      <mfrac>
        <mrow>
          <mn>120</mn>
        </mrow>
        <mrow>
          <mn>24</mn>
        </mrow>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span>&nbsp;✔</p>
<p><em>m</em>&nbsp;=&nbsp;−25&nbsp;✔</p>
<p>&nbsp;</p>
<p><em>Accept positive or negative values throughout.</em></p>
<div class="question_part_label">b.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="background-color: #ffffff;">A student places an object 5.0 cm from a converging lens of focal length 10.0 cm.</span></p>
<p><span style="background-color: #ffffff;"><img src="data:image/png;base64,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"></span></p>
</div>

<div class="specification">
<p><span style="background-color: #ffffff;">The student mounts the same lens on a ruler and light from a distant object is incident on the lens.</span></p>
<p><span style="background-color: #ffffff;"><img src="data:image/png;base64,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"></span></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Construct rays, on the diagram, to locate the image of this object formed by the lens. Label this with the letter I.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">ai.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Determine, by calculation, the linear magnification produced in the above diagram.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">aii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Suggest an application for the lens used in this way.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">aiii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Identify, with a vertical line, the position of the focussed image. Label the position I.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">bi.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">The image at I is the object for a second converging lens. This second lens forms a final image at infinity with an overall angular magnification for the two lens arrangement of 5. Calculate the distance between the two converging lenses.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">bii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">A new object is placed a few meters to the left of the original lens. The student adjusts spacing of the lenses to form a virtual image at infinity of the new object. Outline, without calculation, the required change to the lens separation.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">biii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;">any two correct rays with extensions ✔<br></span></p>
<p><span style="background-color:#ffffff;">extensions converging to locate an upward virtual image labelled I with position within shaded region around focal point on diagram ✔</span></p>
<p><span style="background-color:#ffffff;"><img 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" width="451" height="194"></span></p>
<div class="question_part_label">ai.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><span style="background-color:#ffffff;">v&nbsp;= «–» 10«cm»&nbsp;✔&nbsp;</span></em></p>
<p><em><span style="background-color:#ffffff;">M «= –<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{v}{u}">
  <mfrac>
    <mi>v</mi>
    <mi>u</mi>
  </mfrac>
</math></span>=–<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{–10}{5}">
  <mfrac>
    <mrow>
      <mo>–</mo>
      <mn>10</mn>
    </mrow>
    <mn>5</mn>
  </mfrac>
</math></span>» = «+» 2 ✔</span></em></p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<div class="question_part_label">aii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;">magnifying glass<br></span></p>
<p><span style="background-color:#ffffff;"><em><strong>OR</strong></em><br></span></p>
<p><span style="background-color:#ffffff;">Simple microscope<br></span></p>
<p><span style="background-color:#ffffff;"><em><strong>OR</strong></em><br></span></p>
<p><span style="background-color:#ffffff;">eyepiece lens ✔</span></p>
<div class="question_part_label">aiii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;">I labelled at 25 cm mark ✔</span></p>
<div class="question_part_label">bi.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;">the second lens has&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="f «= \frac{{10}}{5} » = 2">
  <mi>f</mi>
  <mrow>
    <mo>«</mo>
  </mrow>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>10</mn>
    </mrow>
    <mn>5</mn>
  </mfrac>
  <mrow>
    <mo>»</mo>
  </mrow>
  <mo>=</mo>
  <mn>2</mn>
</math></span>&nbsp;<span style="display:inline !important;float:none;background-color:#ffffff;color:#000000;font-family:Verdana , Arial , Helvetica , sans-serif;font-size:14px;font-style:normal;font-variant:normal;font-weight:400;letter-spacing:normal;text-align:left;text-decoration:none;text-indent:0px;white-space:normal;">«cm»</span></span><span style="background-color:#ffffff;"> ✔<br></span></p>
<p><span style="background-color:#ffffff;">«so for telescope image to be at infinity»<br></span></p>
<p><span style="background-color:#ffffff;">the second lens is placed at 27 «cm»<br></span></p>
<p><span style="background-color:#ffffff;"><em><strong>OR</strong></em><br></span></p>
<p><span style="background-color:#ffffff;">separation becomes 12 «cm» ✔</span></p>
<div class="question_part_label">bii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color:#ffffff;">image formed by 10 cm lens is greater than 10 cm/further to the right of the first lens ✔<br></span></p>
<p><span style="background-color:#ffffff;">so second lens must also move to the right OR lens separation increases ✔</span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;"><em>Award <strong>[1 max]</strong> for bald “separation increases”.</em><br></span></span></p>
<div class="question_part_label">biii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>The simple ray diagram was constructed well by most candidates, especially compared to previous years.</p>
<div class="question_part_label">ai.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>The very simple calculation of magnification was done well by nearly everybody.</p>
<div class="question_part_label">aii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Using a converging lens as a magnifying glass was the most common correct answer.</p>
<div class="question_part_label">aiii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Another very easy and well answered ray diagram question.</p>
<div class="question_part_label">bi.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Only candidates who realised that a simple telescope was being constructed were able to answer the question correctly. Most candidates realised that the focal lenses need to be added but few found the focal lens of the second lens correctly.</p>
<div class="question_part_label">bii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Many candidates did not read the question carefully and provided totally incorrect answers. It does not seem to be generally well known that if a distant object is moved to the right, for a converging lens, then the real image must also move to the right.</p>
<div class="question_part_label">biii.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="background-color: #ffffff;">The diagram, drawn to scale, shows an object O placed in front of a converging mirror. The focal point of the mirror is labelled F.</span></p>
<p><img 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"></p>
</div>

<div class="specification">
<p><span style="background-color: #ffffff;">A planar wavefront of white light, labelled A, is incident on a converging lens. Point P is on the surface of the lens and the principal axis. The <strong>blue</strong> component of the transmitted wavefront, labelled B, is passing through point P.</span></p>
<p><span style="background-color: #ffffff;"><img 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"></span></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">Construct a ray diagram in order to locate the position of the image formed by the mirror. Label the image <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>I</mtext></math>.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a(i).</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">Estimate the linear magnification of the image.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a(ii).</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe <strong>two</strong> features of the image.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a(iii).</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">Sketch, on the diagram, the wavefront of <strong>red</strong> light passing through point P. Label this wavefront R.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b(i).</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">Explain chromatic aberration, with reference to your diagram in (b)(i).</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b(ii).</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">An achromatic doublet reduces the effect of chromatic aberration. Describe an achromatic doublet.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b(iii).</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><img src="data:image/png;base64,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"></p>
<p><span style="background-color: #ffffff;">correctly draws any 2 of the 4 conventional rays from the object tip ✔<br>correctly extends reflections to form virtual upright image <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>I</mtext></math> in approximate position shown ✔</span></p>
<p><em><span style="background-color: #ffffff;"> NOTE:&nbsp;No ECF for incorrect rays in MP1. <br>Award <strong>[0]</strong> for rays of converging lens or diverging mirror.</span></em></p>
<div class="question_part_label">a(i).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;">1.5 ✔</span></p>
<p><em><span style="background-color: #ffffff;">NOTE: For “correct” image position in (a)(i) allow 1.3 to 1.7</span></em></p>
<div class="question_part_label">a(ii).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;"><em>Any two of:</em><br>virtual <em><strong>OR</strong> </em>upright <em><strong>OR</strong> </em>larger than the object ✔</span></p>
<div class="question_part_label">a(iii).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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" width="477" height="254"></p>
<p><span style="background-color: #ffffff;">“circular” wave front through P: symmetric about the principal axis <em><strong>AND</strong> </em>of greater radius than B ✔</span></p>
<div class="question_part_label">b(i).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;">red and blue wave fronts have different curvature/radius<br><em><strong>OR</strong></em><br>red and blue waves are refracted differently/have different speeds ✔</span></p>
<p><span style="background-color: #ffffff;">so different colors have different foci/do not focus to one point<br><em><strong>OR</strong></em><br>so image is multi-coloured/blurred ✔</span></p>
<p><em><span style="background-color: #ffffff;">NOTE: MP1 is for the reason for the aberration, MP2 is for the effect.</span></em></p>
<div class="question_part_label">b(ii).</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span style="background-color: #ffffff;">mention combination of converging and diverging lenses ✔<br>of different refractive index/material ✔</span></p>
<p><em><span style="background-color: #ffffff;">NOTE: Achromatic doublet is in the question, so no marks for mentioning this.</span></em></p>
<div class="question_part_label">b(iii).</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a(i).</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a(ii).</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a(iii).</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b(i).</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b(ii).</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b(iii).</div>
</div>
<br><hr><br><div class="specification">
<p>An astronomical reflecting telescope is being used to observe the night sky.</p>
<p>The diagram shows an incomplete reflecting telescope.</p>
<p><img 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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Complete the diagram, with a Newtonian mounting, continuing the <strong>two</strong> rays to show how they pass through the eyepiece.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>When the Earth-Moon distance is 363 300 km, the Moon is observed using the telescope. The mean radius of the Moon is 1737 km. Determine the focal length of the mirror used in this telescope when the diameter of the Moon’s image formed by the main mirror is 1.20 cm.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The final image of the Moon is observed through the eyepiece. The focal length of the eyepiece is 5.0 cm. Calculate the magnification of the telescope.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The Hubble Space reflecting telescope has a Cassegrain mounting. Outline the main optical difference between a Cassegrain mounting and a Newtonian mounting.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>plane mirror to the left of principal focus tilted anti-clockwise</p>
<p>two rays which would go through the principal focus</p>
<p>two rays cross between mirror and eyepiece <em><strong>AND</strong> </em>passing through the eyepiece</p>
<p><em>eg:</em></p>
<p><em><img src="data:image/png;base64,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"></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{2 \times 1737}}{{363300}} = \frac{{0.0120}}{f}">
  <mfrac>
    <mrow>
      <mn>2</mn>
      <mo>×</mo>
      <mn>1737</mn>
    </mrow>
    <mrow>
      <mn>363300</mn>
    </mrow>
  </mfrac>
  <mo>=</mo>
  <mfrac>
    <mrow>
      <mn>0.0120</mn>
    </mrow>
    <mi>f</mi>
  </mfrac>
</math></span></p>
<p><em>f</em> = 1.25 «m»</p>
<p><em>Allow ECF if factor of 2 omitted answer is 2.5m</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>M = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{1.25}}{{0.05}}">
  <mfrac>
    <mrow>
      <mn>1.25</mn>
    </mrow>
    <mrow>
      <mn>0.05</mn>
    </mrow>
  </mfrac>
</math></span> = 25</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>parabolic/convex mirror instead of flat mirror</p>
<p>eyepiece/image axis same as mirror</p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="question">
<p>A single pulse of light enters an optic fibre which contains small impurities that scatter the light. Explain the effect of these impurities on the pulse.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p><span class="fontstyle0">mention of attenuation </span><span class="fontstyle2">✓</span></p>
<p><span class="fontstyle0">mention of dispersion or pulse broadening </span><span class="fontstyle2">✓</span></p>
<p><span class="fontstyle0">gives explanation for at least one of above </span><span class="fontstyle2">✓</span></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p>The diagram represents a diverging mirror being used to view an object.</p>
<p style="text-align: center;"><img 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"></p>
</div>

<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Construct a single ray showing one path of light between the eye, the mirror and the object, to view the object.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The image observed is virtual. Outline the meaning of virtual image.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span class="fontstyle0">attempt to connect object and eye with ray showing equal angles of reflection such that reflection occurs within 1 hatch mark of position shown </span><span class="fontstyle2">✓</span></p>
<p><span class="fontstyle0">construction showing normal at point of reflection </span><span class="fontstyle2">✓</span></p>
<p><img 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"></p>
<p> </p>
<p><em><span class="fontstyle0">Allow rays that are drawn freehand without a ruler - use judgement</span></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><span class="fontstyle0">light rays do not pass through the image<br></span><span class="fontstyle2"><em><strong>OR</strong></em><br></span><span class="fontstyle0">do not form an image on a screen<br></span><span class="fontstyle2"><em><strong>OR</strong></em><br></span><span class="fontstyle0">appear to have come from a point<br></span><span class="fontstyle2"><em><strong>OR</strong></em><br></span><span class="fontstyle0">formed by extension of rays </span><span class="fontstyle3">✓</span></p>
<p> </p>
<p><em><span class="fontstyle4">OWTTE.</span></em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br>