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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>
<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>
<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>
<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>
<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>
<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>
<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>
<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,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"></p>
<div class="marks">[2]</div>
<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>
<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>
<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>
<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>
<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>
<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>
<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 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"></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>
<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>
<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>
<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>
<p style="text-align: left;"><img 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"></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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xKKkXenBQQQQOCiBcw22BddSQyswDSpGBgEQkAAAQQiKGC2fyKhiCAwVSGAAAKREjDbYEeq7mjXwzSpaI8A7SOAAALDFzDbP5FQDN+TNRFAAIEREzDbYI9YY1GumGlSUR4AmkcAAQQuQsBs/0RCcRGAFEUAAQRGS8Bsgz1abUe7HaZJRXsEaB8BBBAYWMBs/0RCMbAXnyCAAAJREzDbYEctmBhomGlSMTAIhIAAAghIMts/kVDwp4EAAgjEoIDZBjsGw4xaSEyTiho9DSOAQJILmO2fSCiS/I+C7iOAQGwKmG2wYzPS2IiKaVKxMQ5EgQACiS9gtn8ioUj8caeHCCAQhwJmG+w47EZUQ2aaVFT5aRwBBBJUwGz/REKRoINNtxBAIL4FzDbY8d2j6EfPNKnojwERIIBA/AuY7Z9IKOJ/XOkBAggkoIDZBjsBuxnVLjFNKqr8NI4AAnEqYLZ/IqGI08EkbAQQSGwBsw12Yvc4NnrHNKnYGAeiQACB2BUw2z+RUMTueBEZAggksYDZBjuJOaLWdaZJRY2ehhFAIEYFzPZP1hiNlbAQQAABBBCIukB6erqmT5+u5cuXa/v27Tp//rzmz5+v1NRU7dq1S2PGjFFRUZG2bdumI0eOqK2tLeoxEwACURPwtMhRaJe9ol4dEQzC43Ko0JKjivqzEaxVki/eiSp0tMgT2Zr71jZCLn0bie47jlBE15/WEUAAAVMBs1+ATAuyMOoCTJOK+hAQAALDEzC+6M/9oXbf/Vu9tmiS+JU9PEaz/RMJRXh2lEIAAQRGVcBsgz2qAdDYsAWYJjVsOlZEYHQFSCiG5W22fyIZGxYlKyGAAAIIIGAuwDQpcxeWxolAR70q7HYVbj+kt58old1ikcVi16yKGjW7L/g7cVb1FTmyzKrQ9mp/GXul6v/vH4OmPHnUUV8pu2Wettc36IWKQhlfRC2WbJVW18rVGTzJ6ILczTWqmGXvLmMvVfUhlzr9rfWd8uRvu/Ap1b/9lErtRp0WXywvNLv7TF3yuJvlDMTna7tQFY76kLaHGhcjNqeqS7P98Xe35agPxHdOzdU/lMW+XM7TAR+POpuf0CxLthY7P5Kn35SnDrnqHb399fk6VO+K5ESxofoV2c9JKCLrSW0IIIAAAgj0Ebjyyis1depUFRcXq6qqSl6v1/ecmZmpw4cP+5bn5uZqw4YNcjqdMqZQ8UAgugJu1S1doWe0VM1dXnk/q1eZXlLO/KfUHJwINPwfvZW+Si7vl2pvWKbcq8y+Vr6spevqNHbxy76//a72zRr/6n1a9myTP2G4oNPOFZqW85JUVq/PvF36rD5fx0rv1APGl/GBIOqWa8Ez0n3NX8rr/VStZSnambNEm5vPda/R2ajN85dpf4q/D16vutpXKqVmaVDbA1UeWG4kBk9p/u37lXJfnbq8XnmNvj48RjWzV+hZX1tXa9rPHtGmLKeWP/JbnTYC7mzSsys3qXXRWj1adH3IVCqjzh1atuCIsp5p8Zl4u/6gh1N2a3bZK3IN2OFATLH5bDbysRkpUSGAAAIIIJAgAkYyUVBQoMrKSjU2NurgwYOaOXOm2tvbtWnTJt8voeXl5XrxxRd19OhRGffM4IHAaArYFq3Vhgemy2Z8U0ydpOKHKlTe+mvtafykNwzb7Sr98beUqstly7xeqb2fBL2apvKHV6g4M823zGq7WXNyr1bDoeNqN748e06q9jmnVF6hh4onKVVWpU76gUpLviLHc2/oxEBfsG33aduGJcq1XS4pTZnFK/Rw+Rlt3vOuOuRRR+M+bW4tUOni73b3QZLV9vdaWHJLb9tBUZq//ESNe36t1pJSLc61+RODy2XLu1slBS069P6Z7oQnNUc/q16lLMcv9Mi+99T47KNa1VqsbY/+UOP7fdO+oPb3f6+G7Oma4TeRdbzyN9TKW7tImf3Km0cWa0svi7WAiAcBBBBAAIFkEwhMkzKuKGU8tm7dqtbWVp08edJ3NSkjybjjjjs0Z84c3Xzzzbr++uuVkZGRbEz0d9QEbMqe/q2eL+K+ZlPtyspu15raD/RQ/pRLiCRVGVkTpJoTauv0aOKZ32l3nZR9tz0oIblW+Rub5PW3YppTZN+iyb5kIhBKd73uNa+r6aE85edvUHu7R52uN+V83UiCPDr3znYtrqqTCm4LrDTEc3cc7TKmKO3X6+e6JH2sd578haoapIK7A6tblTrtn1S96Q3l3HmLHPqBNjU9puLxRrIT+rhc9pu+q7zFT2vHvv+pQnUpo+AflJkap5mEv3vxHX3oGPEeAQQQQACBBBBgmlQCDGKCdsF99JTOmH7Dj5EOu0/o1JkLUudxOUpv0tis+XrynY+N4xO6urBKTTvuko51JzNDR+xRZ8sLKrVfpazZT+udc0bHv6rCZ5zaUSAda23vOc9Dulo337NIi2yS8mZrVlb3EZn+bRjJxwM60FqtW8/9VuvunKWssSm+c0B6z8vov1asL+EIxTBGyDj5x+xhzIsNfpiVG80yRizB7ZnFM5wyxjpmdQW3NdJlhhO3Wcyh9Yx03OEYhcYUTtzhlKFvI/t3y7hd/PaGv8lL+5sMvprUnXfeaXD2ewRvc8LZToRTxmjErFxwWyNdxqg/uD2zeIZTZqTjDo55oLaGE3c4/TdrLzQeo8xQD9vUGzTOKsXsHVdsE3XDOI9cex7V4kMztbdtc9CRAuOE7pOSJg7Vze7PPS7teWC1Ds3dq7btxb3Tl4wT14+5palB1Xg+0r5HfiHHN/KU17pJK5+drgMrc4OOugSVNaZ1Zeap2Pi3aKOMk8f3/Xqrls+er9Y3Dmpj/rXBhePiNUcohjFMxn9As3+hVUW7TOiGwiye4ZQx+mlW12j2fzhxm8UcWg99G9mxDfUOZ0zCKcO4MW5mfyfhbJPi+W8yME3KuOme0Q/jpnvvvfee9u7dq1WrVvm6H3zTvT//+c9DbrvNHEON+P+WOP/fQv+P9L53h/z6bpxo3K7WY3aVFE7RQL+9964f/ivrxO/p7n6/9n8hl2OeLJZ5cri+MK+s31GGTrW1npStZI5y0s77Xit0WpTnrzp39kvz+syW+vqsftO/PJ+dU99b7F3Q6X2btNxxvTZt3a2XthWrddWj/pO2zSruu8xqm6bipaUqsbXr6KmzA5+I3ne1mHpHQhFTw0EwCCCAAAIIDE+AaVLDc2MtcwF31Uatd7Z0T+kxpg+VPaCauZW6Py/Cv55bJ2huxTJlVW3UL+tP+75Me9z/qZ017ypv00rNy7xigAB3at36ff5LwHaoxVGhBTXf0bb7ZyhN6copLJCtbrd2NnTXKY9bjVse0XLHcfP6zJamTVFhiV11NbvV4L9krsd9RFsqfyGHu3cFz+nf6pHlTmVtekQ/m/ZVjS9apW2LPtKqlb/qe1Us3yr+ZGlWpZw9l4ntkOv119WoYi0rnBByVajedmL5FQlFLI8OsSGAAAIIIHAJAlxN6hLwknpVm/LKf6xvn3xcmcb9G8beo8PZ1WrYUtQ77SdiPpfLlr9au5oWqGvdt5VisSjFXq2uhbu0a8VAU4aM8xRKVPLtk1qfmSKL5SrlH56sFxo2+Kc3WZWWV6YDO6fq97MzfHVaMh7Um18r1b695TJOcwjvca3y/vVp7cz9nWbbv+Kb6pfx4O/1tdKntbd8WncVgalOWatU/bOc7ilO1utV9OhaLfJNfQpcHjfQ4hXKXLhFTWXp2p93la9OI/68/ekqO/CQikxP5A6sG7vP3Ck7dseGyBBAIIkFjDnRZlNNkpiEro+AgHE52sDVpN5++23fJWu5mtQIQMdTlcb5AZMW6Ohj9Xpt0aQY/LXcOA/iNs0++i9qfS1+L7MaT38SobGa7Z84KTtUifcIIIAAAggkiUBgmlTwjfeMG+udOnXKd9O9ffv2+SSMczEmTZqkyZMnyzjqwQMBBBAIFiChCNbgNQIIIIAAAkkuYCQMwVOlgq8m9dprr+n555/3nfRtJBdTpkxRVlaWjMSEBwIIJK8AU56Sd+zpOQIIxLCA2SHlGA6X0JJIgGlSSTTYdBUBEwGz/RMJhQkUixBAAIFoC5htsKMdE+0jMJBAYJpUU1OTmCY1kBLLEUgMAbP9EwlFYowtvUAAgQQTMNtgJ1gX6U4CCwRPk3r//feZJpXAY03Xkk/AbP9EQpF8fwf0GAEE4kDAbIMdB2ETIgKmAkyTMmVhIQJxKWC2fyKhiMuhJGgEEEh0AbMNdqL3mf4llwDTpJJrvOlt4giY7Z9IKBJnfOkJAggkkIDZBjuBukdXEOgnwDSpfiQsQCAmBcz2TyQUMTlUBIUAAskuYLbBTnYT+p9cAkyTSq7xprfxI2C2fyKhiJ/xI1IEEEgiAbMNdhJ1n64iYCrANClTFhYiMKoCZvsnEopRHQIaQwABBMITMNtgh7cmpRBIHgGmSSXPWNPT2BEw2z+RUMTO+BAJAggg0CNgtsHu+ZAXCCBgKsA0KVMWFiIQUQGz/RMJRUSJqQwBBBCIjIDZBjsyNVMLAsklwDSp5BpvejvyAmb7JxKKkXenBQQQQOCiBcw22BddCSsggEA/AaZJ9SNhAQIXJWC2fyKhuChCCiOAAAKjI2C2wR6dlmkFgeQSYJpUco03vb10AbP9EwnFpbtSAwIIIBBxAbMNdsQboUIEEDAVGOlpUtu2bdP8+fOVnp5u2j4LEYhlAbP9EwlFLI8YsSGAQNIKmG2wkxaDjiMQZYFIT5MyEooXX3xRTqdTGRkZUe4dzSNwcQJm+ycSioszpDQCCCAwKgJmG+xRaZhGEEBgSIFITJM6cuSIZsyYobfeekvTp08fsk0KIBArAmb7JxKKWBkd4kAAAQSCBMw22EEf8xIBBGJMYDjTpIx1FixYoOXLl+unP/1pjPWIcBAwFzDbP5FQmFuxFAEEEIiqgNkGO6oB0TgCCFyUQLjTpNra2rR27Vp94xvf0M9//nNdeeWVF9UOhREYbQGz/ZN1tIO45PY8LXIUTlSho0WeASv7Qi7HPFkKHXINXGjAtS/2A4/LoULLPDlcX0jyt22vVH1HuI2Hu06HXIe2qvKFwfp+sdFTHgEEEEAAAQQiLWCccG1MZTKOPmzfvl3nz5/3nYidmpqqXbt2acyYMSoqKtK+fft0zz336M9//rPuv/9+GYkIDwTiTSD+EoqYF75CmYv2yNu+QflpEebtaNKO0l+quSvmEQgQAQQQQAABBIIEjCMPU6dOVXFxsaqqquT1en3PmZmZevvtt9Xc3Kz9+/frpptu8p2wbUyH4oFAvAhE+BtvvHSbOBFAAAEEEEAAgegJGCd2G0ctzpw5o//6r//SH/7wB912221auHChPv74Y23atEnG1JLy8nJfgnH06FEZ6/BAIBYF4jeh+OS4DlWXym6xyGLJVml1rVydA00xOqv6ihxZQqchddSrwm6RvaJeHYHR8bjV/EKFZvnqtcgyq0KOepc6A58P+Ww2fcmYqvSESu1GrBbZS6v1isNoI0cV9WeDajytd1/b3FPOYi9V9SF/20ask2aryu1W3eIblRLal0Atvj7ZNatiq6pLs7vb8/fP426Ws8fMiKVQFY76bjfPR3Iuzu5r4avTo476StkHai/QLs8xJWBcjtC4LCGHzmNqWAgGAQSSXMC4spOxbV6yZIlvypMx9cmYArVq1SpfcmFsu9etW+c7l2KwaVJGHUZdxvkXPBCIBYE4TSjOq27VWu1KWarmLq+8n72sO/6yWVm3b1HzgElFGNzGl+olBbq9/uva2P6lvN4uffbMt3R4wZ16wPnRIOdsDFb3BZ12Viqv9Lhm1n/qq9O1+jodWFOlhtDV3If06rsT9JCrS17vl2p/aYJeLVihZ5vPSWn52tjyhsptNhXs+FBdg06pcquh5n2lrz4ib9d/q2FpjtI6G7V5/jLtD5h5vepqX6mUmqVa9myTOq1f05x7b5dqnHr99IWgyD5RU22dVDJHOZGewhXUCi8jK3DXXXfJbrf7fu0isYisLbUhgAACwxV4720cS7QAABTfSURBVL33fNtmI4EITHkypkAZ057MTsYebJrU4cOHfdOncnNztWHDBt89LZgmNdyRYb1LFYjThEKyLVqrDQ9Ml83oQeokFT9UofLWX2tP43BPZvKoo+E5LXfcqMceWqxc2+WSrEqdVKInX7pdry1/Tg1hn2QdNCwdb2nr8sOau+0RLZyUFlTnatmCivle2hbq4YeKlJlqdOpy2fLuVklBiw69f+aikxlbyb36sdGe9avK/GaqOhr3aXNrgUoXf7fbzIjE9vdaWHKLGg4dV7vHqrTcIq3IOqjnak/2ttfxgWprpJLCKTKi5xEfAsZOyNhJGTscEov4GDOiRACBxBcwTtAOJBDD7a2RfBQUFKiyslKNjY06ePCgZs6cqfb2dqZJDReV9S5ZIE4TijHKnv6tni/GPoVUu7Ky21VT+0Hv9KWL4un+Jd5tm6gbxhnJROBhVWrGRGW761TbdLHJikcdTa+rxn2jpk/+W/Vi++sMNDHo83kda22/iClXZpVZlZa/Qe3tjyn3zJu+XzGczlfkqLhDWYtf7l0hdYp+VHKL6nb/Tid8s8f88atAhTnpveV4FTcCJBZxM1QEigACCAxLINyrSTFNali8rBSmwGVhlkueYu7HNfuqx036O01TTZbGzaLO43Lcd48Wv/ix8srXquzWa3R1YZWasq5SzpoTauv0KDPtCk0s/IkWrdmgHQ0/0sZ8qan2sLJWPKHckOlOxrkgPOJTwDjxr6ysLD6DJ2oEEEAAgUEFAtOkgq8oFbjpnnHU2rhMrfEwLllr3EwvIyNj0Pr4EIFwBEgoQpUKdqj1tUXK7D2cEFoiDt9/IdeeR7X40Eztbdus4vGBIzDGyeonJU3s6ZN1/D/o3pINWlD7gR7KkWprxqukYYpSe0p0vzDmfvKIPwFjp/L888+roaFBDz74oO/Qe/z1IjkiJmlPjnGmlwiMhoAxTSp4qlTgpnvGvTB4IBAJgTj92mwyDaizXa3H7APM9U9VRtaEIbzSlVNYINuxd3XcHXxSskedzU9oVs+N64aops/HVqXlzFGJ7aRa24KvE+VRZ9sJHetTdiTfdKqt9aSUfYsm+84N8bfl+avOnf0ypOF05c67V1k1e7R7929Uk32bZky8IqQMb+NNwEgkjEsPLliwQN/5znd851YY83h5IIAAAggkn0BgmpTxzAOBSAjEaUIhuas2ar2zpfvcAmM6T9kDqplbqfvzrjVxuUITZ9ymAvcBvfDKH/3rtMi5fqOq3IHiVqXlLdO2uYe1vHK7Gn1JhUedrn1at/IpadNKzcscxhfrtBm6f9t3VLNus5wu4+K03XWuX7dTPU0HQhjq2XeeiP/XhPOdCv+CVv5kqW63djac7j7h2uNW45ZHtNxxPKRVq1JvnquS7N9o6dI9yr77e5oYt38lIV1LwrcDJRLGIXEeCCCAAAIIIIBAJATi9KviGBVsWqL8k48r07hfxNh7dDi7Wg1bijR+gB5ZM3+sJ+sWSWuyNdZY5/Zf6bM7V+rfCoKutWS9XsVb9uqlmX9Shf0rslhSNDZvv64r261dK3L7TfsJbwAu1/jiDWqovE77867y1Zm5/iPll92vgvAq6C1lnaC5FSW6YNyH4m8Wac+JL3o/G/SVkSyV6cDOqfr97AylGP3PeFBvfq1U+/aW97/alHWCCpcVy6YZunvGDUEnkw/aCB/GkIBxbXKzIxIkEjE0SISCAAIIIIBAgghYvCGT4Y15uyGLEqSrsdUNj8uhuXknVNHymPJDTniOfqTGzfl+qrwjP9EfthcPmKRFP04iGEjA6XT6Ppo7d67ptc0HWo/lsSPAtjh2xoJIEEAAAQR6Bcz2TwP8nt+7Eq8uUcB35+pslTqO91z61eM+oi3rn9aFFUX9rp50ia1FZHWP+z+1s+b/acW/5JNMRER09Csxzo8w/nFEYvTtaREBBBBAAIFkEyChGOkRT5uhfz2wVtmH7+meamWxKGXav6nrjucuYRrVCAXtaZGj0K4Ue7W6yh7Xz6ZdPUINUS0CCCCAAAIIIIBAoggw5SlRRpJ+IIBAQgmYHVJOqA7SGQQQQACBuBQw2z9xhCIuh5KgEUAAAQQQQAABBBCIDQESitgYB6JAAAEEEEAAAQQQQCAuBUgo4nLYCBoBBBBAAAEEEEAAgdgQIKGIjXEgCgQQQAABBBBAAAEE4lKAhCIuh42gEUAAAQQQQAABBBCIDQESitgYB6JAAAEEEEAAAQQQQCAuBUgo4nLYCBoBBBBAAAEEEEAAgdgQIKGIjXEgCgQQQAABBBBAAAEE4lKAhCIuh42gEUAAAQQQQAABBBCIDQESitgYB6JAAAEEEEAAAQQQQCAuBUgo4nLYCBoBBBBAAAEEEEAAgdgQIKGIjXEgCgQQQAABBBBAAAEE4lKAhCIuh42gEUAAAQQQQAABBBCIDQESitgYB6JAAAEEEEAAAQQQQCAuBUgo4nLYCBoBBBBAAAEEEEAAgdgQuCw2wiAKBBBAIHkFjh49qrVr1/YD+Md//MeeZWPGjNGTTz6p9PT0nmW8QAABBBBAIBYELF6v1xsciMViUcii4I95jQACCCAQYYFPPvlE11xzzaC15ubm6p133hm0DB8igAACCCAw0gJmuQJTnkZanfoRQACBIQSMow4PP/zwgKXGjRunxx9/fMDP+QABBBBAAIFoCnCEIpr6tI0AAgj4BYyjFH/3d3+nM2fO9DPh6EQ/EhYggAACCERJgCMUUYKnWQQQQGAoAeMoxZIlS/oV4+hEPxIWIIAAAgjEmABHKGJsQAgHAQSSV8DsKAVHJ5L374GeI4AAArEowBGKWBwVYkIAAQT8AqFHKTg6wZ8GAggggEA8CHCEIh5GiRgRQCBpBIKPUnB0ImmGnY4igAACcSPAEYq4GSoCRQCBZBUIPkrBlZ2S9a+AfiOAAALxJcARivgaL6JFAIEkEAjcl4J7AiXBYNNFBBBAIM4EzI5QkFDE2SASLgIIIIAAAggggAAC0RIwSyi4sV20RoN2EUAAAQQQQAABBBBIAAESigQYRLqAAAIIIIAAAggggEC0BEgooiVPuwgggAACCCCAAAIIJIAACUUCDCJdQAABBBBAAAEEEEAgWgIkFNGSp10EEEAAAQQQQAABBBJAgIQiAQaRLiCAAAIIIIAAAgggEC0BEopoydMuAggggAACCCCAAAIJIEBCkQCDSBcQQAABBBBAAAEEEIiWAAlFtORpFwEEEkbA43Ko0JKjivqzsdEnT4schRNV6GiRJ8oRddvMk8P1RZQjoXkEEEAAgZESuGykKqZeBBBAIFkErJmLVOtdlCzdpZ8IIIAAAgj0EeAIRR8O3iCAAAIIIIAAAggggMDFCJBQXIwWZRFAIHwBj1vNL1RolsUii8Uie+kTOuTqCFrfo05XvRwVhb7PLRa7ZlU4VN9TxqOO+krZLfO0vb5BL/SUy1Zpda1cncZkni/kcsyTpdAhV5+5Pf517ZWq7+j+wONuDKpjoLYKVbH9lyq1GzEHpjAZcdaqujS7O057qapf2a6KWXbZK+pl9KjvlKezqq/IkaXwKdU31vjKGf23GOsdcqkzSECdLh2qLpXdZ2T0q6bbIyju4OI9r4exnsfdLGdPW0b/ClXhqPc7GjWHjodFllkVctQHxdzpUr2jd0z719ET4aAvwhuLwcY9zHgHjYIPEUAAAQQiJUBCESlJ6kEAgV4Bz0dyLilQzs4UlbV+Kq/3U9XPPK7SvEo5T1/o/vLaUqP78h7Q4XGPqL3LK29XszaOO6wFWfNV3Xyuty69rKXr6jR28cvyer3qat+s8a/ep2XPNqlTV2jijNtUUHdQb50InqP/iZpq66SSOcpJs8pz2qkl0xarPtCWt0XPZB3Rgp54As3VqeYtm1a7utTVvltLc9PlOb1PD+St1LGZ/67PvF55XauUfmCrqhrcgZXMn+vWa93ev9HiA23yer9U+0sT9GrBCj0b6Jth9MCdKj2Wr/rPuuT1HtHq9Aatqaozry+wdDjrdTZq8/xl2p+yVM2Gtc9xpVJqlvodJXU26dll5Tqc9b+7+2nE/PAY1cxeoz2+8x/OqfnZFVpw+Ft6xhevMRbddZTtcYV9rkb4YzHYuIcTbwCMZwQQQACBERfwhjwkY1/DAwEEEBi+QFfrDm+BpnnL3/hLbyWfvuEtt9m8BTs+9HZ5/+J9o3ya17Zor7etq7eI179cBTu8rV1d3k/fWO21hdbTp4zX6+360Luj4JvevE3veD8LVOVrK9B+d1vddQYKGM/+GMrf8H7qHbytfnH66pfX5lvX6+3bX397ttXeNz4N6lyf/vvbs93n3dv2ZVBQA6zbUyLM9fwm3daBdULi8X7ubd1xlzfg0t2Hu7w7Wj/vaa3Piz519vlk0Dd96730sQg73kGj4kMEEEAAgeEKmOUKHKEY8ZSNBhBINoEvdOKtg6rTBGVlpPZ2Pi1fG9vbVbtokqwdH6i2pl3Z078lW5+tUKoysiZIx06ozTelqXf13lchZawTVLjsNrVu3qdG3/SmCzr9ulM1WfdqXm665GurWbapN2icSVvumtfV5J8W1duG/9VAcabalZVt61d80AW+daRjre3qVPcRFHf2LZpsuzxoNX/fgpb0fTmc9axKy9+g9vbHlHvmTTmdTjmdr8hRcYeyFr/cU73VPlnfz3tLa3b8Vo31vw2aeuYvYh2nm74/SXVrfqV9jfVyBk+F6qlliBeXMhbqO+5DxjtEKHyMAAIIIBA5gT6718hVS00IIIDAwAKeM6d0dLAZQ+4TOnXGmBoVzuNyjZ9TrBLVqbbpE8lzUrXPHVR2yVzdnNq7iXNXzdZV/vM5fOc0WK7s84U6nJbitkzncTlKb9LYrPl68p2PJVl1dWGVmnbc1Zu8peZq5YEGvXTr/9XedUs1O+uqkPMsrta0lbvU+tKtOrd3o+6cnaWx/c57CU8oImMxZLzhxUIpBBBAAIFLF+jd2156XdSAAAIIhCVgHXeDpg72A79tom4YF/zL/RDVpk1RYYlUU/uBzp34nXbX3aK7Z9yg3g2cTQU7PlSXcQ5E6L/2DcpP6y05REtx+PEXcu15VIsPzdTetlP6j41LVFxcrOL88fq09WTf/qRmKr94iTb+R7u8Xe1q2vt9nVkzW3nrGnwnn0tpyswv1qKNtd3nhTRt0w/OPKHZeb/sOfm9b4Vm7yI4FkPGa9Y+yxBAAAEEIi2QyHvRSFtRHwIIhCXgP1FaJ9XaFnRNI9/N1uzdV2RKNRIAu44d+aPcfa7O1Kk240tu9kRlBB1dGLrZdOUUFkg1Tj3vPKC6gts0Y+IV3av5kg2zts6pufqHJleICmotsK5vmlLQ8s52tR4b7BBLUFnTl93x2vpN7fL333QdY+Fw1guYhkyv8vxV585+OWBLsto0rXihSkumyX30lM70GSdjtctlm1akpaW3yxbuEaWAZ79xD2MsBo60+5Mh4x2qAj5HAAEEEBiuAAnFcOVYDwEEBhSwTixUxeprVLXuKdW7jalLF+Ru2K2aulu0aUOxMq3pyv2nMn3/tV+ocssRf1LRoRZHhRZUjfOXGbB6kw+sSsst0oosp1atfkcFd39PE3u2btcq7/5KzQ1py+Ws0spVGqIt/7o1G7Xe2dJ9ydfOFjnXb1TVpeQTsiotb5m2za3TuvX7/Jdu7ZDLuVnrqppN+hdYNJz1/ElI3W7tbDjdfTUmj1uNWx7RcsfxQMX+S98WqiLQT99lZN9UbaO0aNlsTVT33bdnVTh7LzXb6dLrtc3Sop+oMJDA9dRo9uJSxqJvfd2X6h0k3p7x77se7xBAAAEEIi/AJjfyptSIAALW8cp/bKeaFp7XOvtXZLF8RfZ157WwabtWTLvaN4c/dVKJnmrYoplnHpU9xbgvwiT9r9bpeql1l1b6ylwkY+oU/ahkhmQr1rLCCUHTnSTr+CJt6dPWVcrbn66ynngGbqt73RW6bv9dGmucg5H5uE7mL9GmgsHmbA1cX88n1utVvGWXKq/br7yxKbJYpmv9yRyVbSrqKWL64qLXM5KQMh3YOVW/n52hFKMPGQ/qza+Vat/ecgV6Yc1coJ1Ny3r7aUnR2Lz9uq7sOT1WdL2s1klauHO3ynritcgy9i7tv26ZDjz2Q40Pc29yKWMR7DFkvMGFeY0AAgggMKICFuOSUcEtGCcrhiwK/pjXCCCAAALG9K25i9VasV8b86+NoIdxo76fKq/1Z2rZmK+0sGse7nphN0BBBBBAAAEEfAJmuUKYvykhiAACCCSjQPddr+2lL6glcBlb33Shx7Xmwo+7L0s7LJbAnbwXy9ESuHv4Bbkbd2j9mvNaMe+WAZKJ4a43rCBZCQEEEEAAgbAESCjCYqIQAggkp8C1yvvX57Qtu175vmlJFllSCvRU1x06sOs+TbuoE8eDBf3TkLbdqMP5xuVZjSlfX9G0pz7XHQcC08KCywdeD3e9wPo8I4AAAgggEHkBpjxF3pQaEUAAAQQQQAABBBBISAGmPCXksNIpBBBAAAEEEEAAAQSiJ8CUp+jZ0zICCCCAAAIIIIAAAnEvQEIR90NIBxBAAAEEEEAAAQQQiJ4ACUX07GkZAQQQQAABBBBAAIG4FyChiPshpAMIIIAAAggggAACCERPgIQieva0jAACCCCAAAIIIIBA3AuQUMT9ENIBBBBAAAEEEEAAAQSiJ0BCET17WkYAAQQQQAABBBBAIO4FSCjifgjpAAIIIIAAAggggAAC0RMgoYiePS0jgAACCCCAAAIIIBD3AiQUcT+EdAABBBBAAAEEEEAAgegJkFBEz56WEUAAAQQQQAABBBCIewESirgfQjqAAAIIIIAAAggggED0BEgoomdPywgggAACCCCAAAIIxL0ACUXcDyEdQAABBBBAAAEEEEAgegIkFNGzp2UEEEAAAQQQQAABBOJegIQi7oeQDiCAAAIIIIAAAgggED0BEoro2dMyAggggAACCCCAAAJxL0BCEfdDSAcQQAABBBBAAAEEEIieAAlF9OxpGQEEEEAAAQQQQACBuBcgoYj7IaQDCCCAAAIIIIAAAghET8Di9Xq9geYtFkvgJc8IIIAAAggggAACCCCAgKlAUAqhy4JLBH8QvJzXCCCAAAIIIIAAAggggICZwP8Hk5p0JXD3XGcAAAAASUVORK5CYII="></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>
<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>
<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>
<br><hr><br><div class="specification">
<p>A converging (convex) lens forms an image of an object on a screen.</p>
<p><img 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"></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>
<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>
<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 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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>
<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>
<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>
<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 src="data:image/png;base64,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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>
<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>
<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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Jq5IvqOUnLUkg9h39UeMxfT6ggQIEDgAoEEqZzWe8tbnnpw0dAFcBufVIiauQLrfHk6JTaHumeUENVU8TcBAgS2JZBTeefuI7WtLVLaIQEhakjnTq+lxal55UYFK53N7wRusQQIEJhBIK1RCVHuVD4D9kpWIUQtUBFpdUqzbw11J3N3Li8RjwQIENieQN32wHf59upuaomFqKlyV8xXnctz6i7/0jKVYGUgQIAAge0K5AxDvs8NxxEQohao67pzeTqZ131G8reBAAECBLYr0O6qsd0tUfKxAkLUWKkbT5fz5jmNl9N6zVN7N16NxREgQIDADALVH6p90dAMq7aKBQWEqIXwcwnsu971s6dOiD50C1WC1RIgQOBGAtUfKmHKcBwBIWqhuq7O5GmR6rqtgQ/iQhVjtQQIEHh4ON1xPN/P6cM6ZtAfaozS/qYRohaq0y996W9PrVC//usffFUJErB0TnwVixEECBCYTSAHt7ngJ0FqzH2f8p09ZrrZNsCKZhEQomZhfvVK/u3f/u304fzkJ//gsRddrfcYhycECBBYVCDBqIJU11mDFK4uFnJ/qEWrapGVC1GLsP9gpekX1f55AFfrLVghVk2AAIEOgQpS+b7uClLVPcP9oTrwdj5KiFqwgpv3i6piuFqvJDwSIEBgPQJ1gNsVpLoOiNdTciW5p4AQdU/dM8tuNwHXc1frnYHzMgECBBYQqCCV/k918Y+f7VqgIla0SiFq4cpodkbM1R19V+stXEyrJ0CAAIEf9n/K93YFqQpWFaogHUtAiFq4vuuy2DqacXXHwhVi9QQIEDgjkMBUQerXfu2/uZr6jNeeXxaiFq7dOor59Kc/dWqFcjSzcIVYPQECBEYI5Lv6wx/+rUdX7o2YxSQ7FBCiFq7UaoF6/etf60eIF64LqydAgMAlAvnN03TB8Nunl6jta1ohagX1+fa3v+30QUyrlIEAAQIEtiGQ7hc5rWc4roAQtYK6/+xn/2zwVF4+qLlyz0CAAAEC6xFIgNKPdT31sURJhKgl1FvrrFN6Xbc2qD5TWqlaaJ4SIEBgQYE6lee7ecFKWMGqhagVVEKK0HeztozPDTgNBAgQILAegTqV13UH8/WUUknuLSBE3Vt45PLTCpUOimmVqiFXf2Tc2F8Rr/k8EiBAgMBlAvmx4bGtSglO+W52Ku8y4z1OLUStpFbrlF4zMOUD2g5WKymuYhAgQGBXAmn1H3vQWt0sXJW3q7fApI0Roiax3Wem5qk7Rzr3MbZUAgQIdAnkOzetUWNamOomyV3LMe5YAkLUiuq7TunlNF79OLGr8lZUQYpCgMDuBeoMQB67+jvVWQOn8nb/Vhi1gULUKKZ5JqoP5wsvPH/qTJ6WKQMBAgQIzCtQQSrfwe0g1TzYnbdU1rZGASFqZbWS5uQ3vekNpyblsZ0cV7YJikOAAIHNC1S/p3aQytXSrpjefPXebAOEqJtR3mZB9cFNkGofAd1mDZZCgAABAmME6vs4N9VMN4u6Yrrrnn5jlmea/QkIUSur0wSn17zmiYdnn/353pKln1Q6NhoIECBA4L4C+b5NiMq/3/7t/+6K6ftyb27pQtQKq+yjH/0fgx/UnPLLB9pAgAABAvcXSAvUU089+ZAfincAe3/vLa1BiFphbVWTcfOeUVXMZufzGueRAAECBO4rUKf23Bvqvs5bW7oQtdIaa94zqlnEumokYcpAgAABAvMI6FA+j/PW1iJErbTGuo560l8qp/E0J6+00hSLAIFdCqRfVG7CqUP5Lqv3qo0Soq7iu9/MXYGp7k/iBpz3c7dkAgQItAXqDIArptsyngtRK34P1Ae3Tt1pTl5xZSkaAQKbEEhf067+pn2Fr36o+T42EGgLCFFtkRU9rw9v7mCezoxpTs5pPgMBAgQITBOog9OxoSjfv/nuzQU/BgJtASGqLbKy53U7gw9/+LdO/aE0J6+sghSHAIHNCTSD1NB3anWryPewgUCXgBDVpbKicdWhccwvi6+o2IpCgACBVQtUkGr/rEuz0NUP1W0Nmir+bgoIUU2Nlf79Uz/1n093Ma++USstpmIRIEBgUwIVkvqClH6om6rORQorRC3CftlK63YH5/pDpcnZJbiX2ZqaAIFjC9T3a24f0+z3VOPPfe8eW8/WC1EbeQ+cOyKq035C1EYqVDEJEFiNQE7XJUQ1g9S579zVFF5BFhUQohblH7/yanbuOzefG3DmC2Cok+T4tZmSAAECxxJIK1QFqeef/xM31zxW9U/eWiFqMt28Mw5dJVK3Qhh7ye68Jbc2AgQIbEMgQSotUG95y1MOSrdRZYuXUohavArGFyA3iMtVeu07ltd9THQ8H29pSgIECHQJ/OM//r/T9+wlN+TsWo5xxxAQojZUz32tUWmCdh+TDVWkohIgsFqBujefrhGrraJVFUyIWlV1nC9MuzXKFSTnzUxBgACBMQL1yxBaocZomSYCQtTG3gft1qjc3yTn8A0ECBAgcJ1AvktdoHOd4dHmFqI2WOPVGvXii59x7n6D9afIBAjcVyDfkc17Po1ZW7Xqu03MGC3TlIAQVRIbekxrVI6YnnzyTacQ5dz9hipPUQkQuLtA3argkhtl5jtVq/7dq2Z3KxCiNlqlddSU+0MZCBAgQOAVgbRCpatDrmYeE6TqPnxjpn1lLf4ioE/Upt8DdeSkJWrT1ajwBAjcQSDfixWkhjqKZ7q0XGmFukMlHGCRWqI2XMmXXkmSoyz3ktpwhSs6AQIXCSQg5ZYFaZHquxlx9TFt33/vohWZ+LACQtTGq77uaXIuHNVv62mu3niFKz4BAhcLJEBVkGq23NevPbjP3sWkZvihgBC18bdChaO+o6zaPL+tVxIeCRA4okAFqZziqyCV78WEq0uv5Duin23uFhCiul02Nba+HPqao+to61zQ2tRGKywBAgQuFEhLfEJTglT9vIvvxQsRTf6YgBD1GMc2n1THyL4mab+tt816VWoCBG4vUEGqboNQrVK3X5MlHkFAiNpJLVfnyHafp3MBayebbzMIECAwWuBP//R/n1qk3FhzNJkJewSEqB6YLY7OJbrtnyyoo652uNri9ikzAQIErhWoA8uc0jMQuFZAiLpWcEXzd3UyzxeF+5+sqJIUhQCBmwhM+WmXrPhcH9KbFM5CDiMgRO2squtqkwSqClVDN5rb2ebbHAIEDiJQfZouubKuvhN1Jj/Im2SGzRSiZkCecxXVVJ3Wpzri0nFyzhqwLgIE5hBIeLokSOV7sKvLwxxltY79CghRO6zb+h2ourncDjfRJhEgQOB0f6exQaouvskvPRgI3EpAiLqV5MqWUz918K1v/fPKSqY4BAgQuJ3AmBapTJODyr7bwNyuNJZ0NAEhaqc1nhts5gjNFSg7rWCbRYDAI4FzQSrfg/k+PPfzWI8W6A8CIwWEqJFQW5ysTuvpWL7F2lNmAgQuEegLUnUazz2hLtE07VgBIWqs1Eanq9N6+YIxECBAYM8C7SCV507j7bnGl982IWr5OrhrCZzWuyuvhRMgsDKBCk45fffud/+c03grq5+9FUeI2luNdmxPndbLb+iNGRK83OF8jJRpCBBYo0D9UkNaoZzGW2MN7adMQtR+6nJwS5o34Ryc8OHhdAVLjuIMBAgQ2KJA3VTzl37pfVssvjJvSECI2lBlXVPU5k04h26+mVaoHL2NbbW6pkzmJUCAQJdA7uWUDuFD31Vd82Wcm2r2yRh/DwEh6h6qK11mvpgSkNIq1TfUXc5dCtwnZDwBAvcWqO+q3Jrg0iBVre5uqnnvWrL8CAhRB3sfpIWpr59AvqxyGm8oZB2My+YSILCQQPVruiRIXdr/c6FNs9odCQhRO6rMsZuSL6UEqfZtD+oLKP0JDAQIEFha4JIgVbc3yPebgcBcAkLUXNIrWk/d9iA/xtlsKs/z/DMQIEBgLQJjglS+xxKe0pLePjhcy3Yoxz4FhKh91uvZrao+B3Xqrq5mcTnwWToTECAws8C5IFV9OTOdgcCcAkLUnNorW1ezf1TCVI7imi1TKyuu4hAgcGCBviBV3RASpAwE5hYQouYWX9n6qn9U+kj5ElpZ5SgOAQKPCdTv4OV7Kwd8dXdy/aAeY/JkRgEhakbsNa4qX0RveMPrTh3N/+VfvrXGIioTAQIEHgnUqbsPf/i3Tq3naUF3S5ZHPP6YWUCImhl8jav7xje+cQpRdXS3xjIqEwEC+xKoVqQpVwNXkEoL+pT59yVpa5YUEKKW1F/Ruqu/QXU0X1HRFIUAgR0KpBU8rUhTrgiuEPX5z//FDmVs0pYEhKgt1dady1odzf3ky52hLZ4AgZNAHbxdclWwjuTePGsSEKLWVBsrKEtaotJEfumlwrllQjp9GggQIHCJQFqixl4ZXLdm0ZH8EmHT3lNAiLqn7gaXnSb2fEFd2tcgX4JOBW6wwhWZwMICdY+6cwdhdUfyhK58TxkIrEFAiFpDLaysDHVH8wSjMXf/rSb5S1uvVrbZikOAwEICH/zgr54O3Pqusqv+U2O/kxbaDKs9oIAQdcBKH7PJddQ3ppk9LVdTOoeOKYdpCBDYv0Bdqdd1r7qpreP7V7OFaxAQotZQCystQ7P/QV/zeX35nWuKX+kmKhYBAisRqCvu2rcsqFYqLd0rqSjFeExAiHqMw5O2QJ2q67uHVH3x9TXDt5fnOQECBLoE6pRdQlMN9f3iIK1EPK5NQIhaW42ssDx9lxTnS8/PxaywwhSJwMICOaga05+yXcyEpbo6uAJUHg0E1iogRK21ZlZWrq4vtPrCaze/r6zoikOAwMwCudfcmP6U7WLlwCz9K5955mkHaG0cz1cpIEStslrWWah2kMqXnfu1rLOulIrAkgJ124IprUjPP/8npwDV14Vgye2ybgJtASGqLeL5oEAFqQ984FceNbsPzuBFAgQOKVDfFZec1jvXB/OQkDZ61QJC1KqrZ52Fqy/H173uxyYXMF+sl/zUw+QVmZEAgUUE0i8q/ZuaHcWHCiJADel4ba0CQtRaa2bl5fr4x3/vqj4L7i218gpWPAI3EBjbb1KAugG2RSwiIEQtwr6PlVaLVB4vGeoI1Q8dX6JmWgLbE6jbFgzdjFeA2l69KvErAkLUKxb+miAwJUjVLRMu6SsxoWhmIUBgBQIVkvLYHuo1ncjbMp5vRUCI2kpNrbiclwYpp/JWXJmKRuAOAmmJat/yQIC6A7RFzi4gRM1Ovs8Vjg1SdSrPHYj3+T6wVfsWyOc2p+guHeqWB/W5F6AuFTT9WgWEqLXWzAbLNSZIpR9UrthJmDIQILAtgXx2P/KR35lU6PoNvL/6q/9z+g5wCm8So5lWJiBEraxCtl6cClL5wuw6YnWDzq3XsPIfWaAOgqb8SkH6QCaE5Z8AdeR30b62XYjaV32uYmvqsub2F2V9ibo/1CqqSSEIXCxQV9vls33pUAdY73rXz3YeYF26PNMTWIOAELWGWthhGZp9HuoqvDqKdSpvhxVukw4jUAdJ+YyPHSpA5bGrhXrsckxHYG0CQtTaamRH5cmXbK7Iyb8EqZzKG3v34h0x2BQCuxPIZzn/zgWivF59oRKgDAT2JiBE7a1GV7Y9CU8JUW9+8xtPfSEuOXpd2aYoDgECPxT4+tf/4fR5rqvtumASoHLaL32ghqbrmtc4AlsREKK2UlMbLmeC1Hve8+zpy/Tzn/+LDW+JohMgUAJpYWrf+6leq4OnBCgHTqXicY8CQtQea3WF29Q8Kr22WT/LyqkEX84rrGhF2pxAWommXG1X935qf57TSlWn8acsd3OACnxoASHq0NU//8bnC/faS5wTnrKMfFkbCBC4TqD6N01ZSn2e0/KUoX7SKcuscVOWax4CWxEQorZSUzsqZ33RVofzSzctN/vLvAYCBK4XqIOSKS279QsEObVXgap9a5PrS2gJBNYrIEStt252XbJmk/8lX971pZ3bJRgIELiNQLVG5VT5pcOLL37m1DKc1uH2qb1Ll2V6AlsTEKK2VmM7Km+a++vqnbFfviB0NtEAABizSURBVNWK5VTBjt4INmVxgWqNuvQqunwOn3rqyVOIchPdxatRARYQEKIWQLfKVwRy5Ns8DXDuRpwJXTlqNhAgcFuBfLb6rrbrWlMd0GQeHci7hIw7goAQdYRa3sA2Nr+Q+zqMO5W3gYpUxM0K1NV251qjcuCTfol1gci5A5/Ngig4gRECQtQIJJPMI5BTA2llypdzV5+nClpO5c1TH9ZyPIGhez9FI5+9OgXf9Rk9npgtPrqAEHX0d8DKtn/oKDcBK1/gBgIEzgtMOdgYao3KQUxO3eXfJReDnC+pKQhsV0CI2m7d7brk1epUX9jZIaSFKuOvHbKsLNdpiGslzb9Wgfq89J0aHyp3uzWqfWAzJZwNrc9rBLYsIERtufZ2XvZ8Wdepg3e+82dOIeoWwSenIRLIbrGsnVeBzduoQIJPDhTSd+nSodkalb+HTrFfumzTE9ibgBC1txrd2fZkZ1Ch58d+7D/d5Cqg7BRytG0gsGeBuup1ysFCPh8/+ZM/fjrYSBib0qK1Z1vbRqAEhKiS8LhqgS9/+cuP7keTUJVwNWXIziCtUPp0TNEzz5YE6pTeuavt2tvUbAFOS9bUz1p7uZ4T2KOAELXHWt3pNuXLvC6tTmtSTjVcOtTRuR3DpXKm36JA9W8aW/YErhxkpPXpFv0Px67XdAS2KiBEbbXmDlzutCblSz5f9glFlwSiqf1EDsxt0zcsUHciP9fy2mx9SvCacgpww0yKTmCygBA1mc6MSwokOFWr0tg+G07lLVlj1n2NQELN1H5J+Xz09QHM50jr0zU1Y96jCwhRR38HbHz7m1cPnTuCTujKDuWSlquN8yj+TgQq6ExpIaoLM9rzXvLZ2QmjzSBwcwEh6uakFji3QPNoOqf4ujrSZpo6/Xdt+bKsS08jXrtO8x9bIAEo798EokuH9rx5/1bfwrGtuJeu0/QEjiIgRB2lpg+wnenXkdao7GzS8bx5+qP6hjTHTSWpZWV9BgJzCeS9ndAzZah5667jFcgSqAwECEwXEKKm25lzpQIJOdnZZEdRp/hy5D11B9TezNwANCHNQGBOgQrvebx0ePHFz5w+D/lM5P075crWS9dpegJHEBCijlDLB9zGHGFXP5LsOPLv4x//vasl2qdGrl6gBRC4QCAHAjkwGDvk/Vqn7p566s1uWzAWznQERgoIUSOhTLZNgcd3Ik929pe6ZMvqN/2cyrtEzbRNgbQC5X05ZejrJN5eVvsg4pob1LaX7TkBAq8ICFGvWPhrxwLZceUIPi1SORU35ZRIeJzK2/GbZKZNy/sw76Mpw5iW0Ga/pzqdPWVd5iFA4LyAEHXeyBQ7Ekh4SoiaEqZqB9Z19d8YosyXq/oMxxao08xTWzMTjLr69zXf2/o9Hfs9ZuvnExCi5rO2phUJZIfT7Hw+pqNt7fymnIrJ6ZUENyFqRW+ChYpSYXzqeyHv3byX8pihGZ6uaWVdiMNqCWxaQIjadPUp/DUC1W9kbJjKDmrqaZja8d3iFgvXbLN51yFQV4vmPThlyHvx2Wd//lGrat7DFaqmLM88BAhMExCiprmZa0cC7TCVoNTeIeXUS47+p/4oa+00d8RmU64QSJhutiZdsqi8N5955unT/AlPaSGdGsYuWa9pCRB4tYAQ9WoTYw4q0A5TzVMjY6+K6qLLcp3K65LZ/rhrwsulLZsJT5kn7yXhafvvHVuwDwEhah/1aCtuKJAdY3OHlR1Xdlrvfe8vTFpLlpUd35h+V5NWYKZFBFKveV9M6SOXAlcfu6EO5nkvpvWzwlMes14DAQLrEBCi1lEPSrFSgeywcnovIejNb37jqWP4pTvNzJ+d3y2GoR3uLZZvGeMFrj3FO9TBPK+l9TMhLe894Wl8vZiSwJwCQtSc2ta1WYG0ItWdn7NTy2XmYzqJ144yO8Rrh5Qh6x6z3mvXZf5xAgk3Uy82yBqqr1ydFux6n2nBHFcXpiKwhIAQtYS6dW5WoKuFIKdlMr5ruOUdznNJfEJU7XC71mfcvALX1m8F4/wkUQJZ6jetT6nrvvfUvFtobQQIDAkIUUM6XiPQI1D9pupUX3Z+aVVotxLd6lRe1pd1TL23UM9mHH50PK85RXpNS2MCVAXj1G1CVEKZkHz4tyWADQkIURuqLEVdp0B2wtkZNvuv5PTdN77xjVPwSUvVtUN1Qr7VqR076h/UyC2C6SVBOaGr2VG81n+rer32fWZ+AgQuExCiLvMyNYFegWqdSn+p7Bzr32c/+2dXn5q5tu9Ns9DZiSfw7WG4NgxW+L1mOXX1ZbsVsnzrfdHsU6fVqXQ8Eti2gBC17fpT+pUKpMUhrVE/8RPPPApTabFIgLm0r0t2zglkt7q0PSEvO/Frh5TrVmWaWpZrXW5hm5CUciSQ1dAVnBJc85645vRhLd8jAQLrEBCi1lEPSrFjgew0s/NMcKnWqUsCVf3g7DWtJU3e9g6/+dolf6dc+XeLIWFmyvbdooUu4SatRNcMmf+pp558+Ju/+b+PXcWZZSdcZfsMBAjsT0CI2l+d2qIVC/QFqr4Wims6Lncx1NVgt2hBqoDQtZ5LxyXYpZXu0iFumffS1r3meq5ZRtabcn/gA7/yKCCXi+DUVPY3gX0KCFH7rFdbtQGBBKp0GE+rVLVQ1Q44ISctM9fs4LsIqoP6lFaf9vJS5lt0mo9DljUl2NW815SjljE2xCWIpl6a9ZYWMS1O7XeI5wT2LyBE7b+ObeEGBNKikRCR00IJUhWq3vjG1z+87W1vPZ0OukXwyem37PyvHSp4TAk+7XVX69jUK9SyPdf28Ro6LZhtTcBqdgxP/WS9CW953UCAwDEFhKhj1rutXrlAAkV20O9+9889ClS1404rSE4VXXoKKyEsy8j81w7XBp/m+q9dVgJOtuuaMNNcRspToakZaKu1qVoJm9vgbwIEjikgRB2z3m31hgQSfhKa2qeQEhyyY08LSXb62fkPDVlG5rlFX50KHZcGua7yXRuiUoZsV/PquK71dI3LvPH45Cf/4LSMLKf+NUPTLbaza/3GESCwbQEhatv1p/QHFUjwSEtVXblXO/485jRTglVez3QVABLC8votTgtm2VnWLYYKd+dC4NC66jTo0DRZflqR4tDllla/P/7jT5+mKbOh5XmNAAECQpT3AIEdCFSLSl+wSuB58sk3Pfz4j7/lUbi6NrSkpeYWwy0CWcJRtvGrX/3qKTjmeVmknHmt+S9BMy1XY1rwbrGNlkGAwD4FhKh91qutInBqcUpQSphIYHjLW556SEf1ZpjI3+n3k5aZar3K9Jkv//paZDJ9/t1iuCREVbkqJFWr0nvf+wuv2q5sWwJUypl1ZJ5r+k3dYlstgwCBfQkIUfuqT1tD4KxATucljFQQScBK0OhqsWkGrgokmfa1r33Nw3ve8+wpnCSgNP9luRV2hh7TCpT5srysp5aRMJdx9a9Zhq6/a7qaP+sUls6+DUxAgMANBISoGyBaBIE9CVTIShipoJOA0gw35wJXV9gZO64Z1hKQ0tpUASn9p4SkPb3bbAuBbQsIUduuP6UnsDqBodan5mt9pwpXt0EKRIAAgR4BIaoHxmgCBAgQIECAwJCAEDWk4zUCBAgQIECAQI+AENUDYzQBAgQIECBAYEhAiBrS8RoBAgQIECBAoEdAiOqBMZoAAQIECBAgMCQgRA3peI0AAQIECBAg0CMgRPXAGE2AAAECBAgQGBIQooZ0vEaAAAECBAgQ6BEQonpgjCZAgAABAgQIDAkIUUM6XiNAgAABAgQI9AgIUT0wRhMgQIAAAQIEhgSEqCEdrxEgQIAAAQIEegSEqB4YowkQIECAAAECQwJC1JCO1wgQIECAAAECPQJCVA+M0QQIECBAgACBIQEhakjHawQIECBAgACBHgEhqgfGaAIECBAgQIDAkIAQNaTjNQIECBAgQIBAj4AQ1QNjNAECBAgQIEBgSECIGtLxGgECBAgQIECgR0CI6oExmgABAgQIECAwJCBEDel4jQABAgQIECDQIyBE9cAYTYAAAQIECBAYEhCihnS8RoAAAQIECBDoERCiemCMJkCAAAECBAgMCQhRQzpeI0CAAAECBAj0CAhRPTBGEyBAgAABAgSGBISoIR2vESBAgAABAgR6BISoHhijCRAgQIAAAQJDAkLUkI7XCBAgQIAAAQI9AkJUD4zRBAgQIECAAIEhASFqSMdrBAgQIECAAIEeASGqB8ZoAgQIECBAgMCQgBA1pOM1AgQIECBAgECPgBDVA2M0AQIECBAgQGBIQIga0vEaAQIECBAgQKBHQIjqgTGaAAECBAgQIDAkIEQN6XiNAAECBAgQINAjIET1wBhNgAABAgQIEBgSEKKGdLxGgAABAgQIEOgREKJ6YIwmQIAAAQIECAwJCFFDOl4jQIAAAQIECPQICFE9MEYTIECAAAECBIYEhKghHa8RIECAAAECBHoEhKgeGKMJECBAgAABAkMCQtSQjtcIECBAgAABAj0CQlQPjNEECBAgQIAAgSEBIWpIx2sECBAgQIAAgR4BIaoHxmgCBAgQIECAwJCAEDWk4zUCBAgQIECAQI+AENUDYzQBAgQIECBAYEhAiBrS8RoBAgQIECBAoEdAiOqBMZoAAQIECBAgMCQgRA3peI0AAQIECBAg0CMgRPXAGE2AAAECBAgQGBIQooZ0vEaAAAECBAgQ6BEQonpgjCZAgAABAgQIDAkIUUM6XiNAgAABAgQI9AgIUT0wRhMgQIAAAQIEhgSEqCEdrxEgQIAAAQIEegSEqB4YowkQIECAAAECQwJC1JCO1wgQIECAAAECPQJCVA+M0QQIECBAgACBIQEhakjHawQIECBAgACBHgEhqgfGaAIECBAgQIDAkIAQNaTjNQIECBAgQIBAj4AQ1QNjNAECBAgQIEBgSECIGtLxGgECBAgQIECgR0CI6oExmgABAgQIECAwJCBEDel4jQABAgQIECDQIyBE9cAYTYAAAQIECBAYEhCihnS8RoAAAQIECBDoERCiemCMJkCAAAECBAgMCQhRQzpeI0CAAAECOxF44okfffjEJ37/Zlvzla/83UOW+dJLL91smVtbkBC1tRpTXgIECBAgMEEgAepWQaoC1Pve94sP3//+9yeUZh+zCFH7qEdbQYAAAQIEzgrcIkgJUK8wC1GvWPiLAAECBAjsXuCaICVAPf72EKIe9/CMAAECBAjsXmBKkBKgXv22EKJebWIMAQIECBDYvcAlQUqA6n47CFHdLsYSIECAAIHdC4wJUgJU/9tAiOq38QoBAgQIENi9wFCQEqCGq1+IGvbxKgECBAgQ2L1AV5ASoM5XuxB13sgUBAgQIEBg9wLNICVAjatuIWqck6kIECBAgMDuBSpI5aacR7+R5pjKFqLGKJmGAAECBAgcQKBaoBKiPv7x3zvAFl+3iULUdX7mJkCAAAECuxCoAJUWqASoW/1EzC5wejZCiOqBMZoAAQIECBxFoBmg6rfw6tReHg3dAkJUt4uxBAgQIEDgEAJdAao2XJAqie5HIarbxVgCBAgQILB7gaEAVRsvSJXEqx+FqB+afOc733l46aWXTv+++91/f7WUMQQIECBAYEcCYwJUba4gVRKPPx46RCU0feQjv3PqPJcOdM1/Tz/95EPeNALV428YzwgQIEBg+wKXBKjaWkGqJF55PGSISqe5D37wV0+hqcJS3lDVEvW5z/35Y+Eqzw0ECBAgQGAPAlMCVG23IFUSP3g8XIjKabsEp7Q6JRzVVQiPs/zgWVqhKmzlcWjarvmNI0CAAAECaxK4JkDVdghSJfHwcKgQlRD0jne8/RSivv71f3hF4cxf3jBngLxMgAABAqsXuEWAqo20X/yBxKFCVFX6JQGq/YaZMm8twyMBAgQIEFhKIGdgbvlTLrVPTVeYow6HCVE5NZc3UCp9ylCtWGnJMhAgQIAAga0JJOzculvKPZa5JdfDhKgXXnj+FKKuudqumkK1Rm3pLa6sBAgQIEDgPgKHCVFpwsy/a4Yk+OqQfs1yzEuAAAECBAhsX+AwISrhJ61R1w4JYrlSz0CAAAECBAgcW+BQIeoW93tKgBKijv2hsfUECBAgQCACQtSF7wMh6kIwkxMgQIAAgZ0KHCZE5aq6/MTLtcOtTgteWw7zEyBAgAABAssKHCZE1f0srrm8M1flJUTlKj0DAQIECBAgcGyBw4SoCkDX9IvKqbz8ZMw1QezYbzdbT4AAAQIE9iNwmBCVKsuVdQlBU+4VVfeIuiaE7edtY0sIECBAgACBQ4Wo/PhwTsclTF3SmlQ/WnzpfN5eBAgQIEBgLQJf+MJfnvaB2Q8+88zTD3lewzvf+TMPH/rQb9TTR48Z/7GPffTR86FlPJroQH8cKkSlXqtFKR3Nx/zezxe/+NenN11asBKmDAQIECBAYGsCn/rUH52C09e+9venoucxYaqCVIWjl19++dGm5e9M86Uv/e1p3LllPJrxQH8cLkSlbtM/KqEob470c0qwarZMJSwlPCVoZZq0QE05BXig95FNJUCAAIGVClQYqsBUxUwoSktThu9973uvap3K9GmxyjBmGacJD/bfIUNU6jihKVfsVZhKWGr/S4hyJd7BPhE2lwABAjsTSEtS9m/f/va/PrZl7fE5bVehKhM+99z7H53Ka09bC+obX6/v/fGwIapZsTmtlw7j9S+tUE7dNYX8TYAAAQJbFahTde2GgnrePsX3zW/+06OWp4SkDGOXsVWjqeUWoqbKmY8AAQIECGxAoFqLmv2d+oqdlqic5mueysu0lyyjb9l7HC9E7bFWbRMBAgQIEPihQE7jpdUpwag5VFBKf6gaXnzxM6d+ULlSr3lV3iXLqGUd4VGIOkIt20YCBAgQOLRA15V16TSe0NQcKiwldNWpvHp97DJq+iM8ClFHqGXbSIAAAQKHF2j3a2q3TBVQWqHqqrwaV49jl1HT7/1RiNp7Dds+AgQIECBwgUD7BpsXzHq4SYWow1W5DSZAgAABAt0CdRPO9u0Quqc2VojyHiBAgAABAgcXSOfyuuVBuy/UwWkGN1+IGuTxIgECBAgQIECgW0CI6nYxlgABAgQIECAwKCBEDfJ4kQABAgQIECDQLSBEdbsYS4AAAQIECBAYFNh9iMoPKObf0DBmmqH5u15Lx7y+e3B0TW8cAQIECBAgsC0BIeoO9VVXObTvBHuHVVkkAQIECBAgsJCAEHUHeCHqDqgWSYAAAQIEViaw+RCVU2a5u2rd3yK/7dMccqqu7r5a0+RHFZs/uNg+nZfXMk1Nn9dzA7Lm0J4m68gpvApQNW/frfOby/I3AQIECBAgsD2BTYeo+g2fujFY7rCaMJPf/akhASiBpn6N+uWXXz71kcr4Gtohqp5n2gw5LZdlfPOb/1SznJaRddU0FbpShgpSTuc94vIHAQIECBDYncCmQ1RaedotT3XL+mo5SiBK2GkONU2FogpNmSaBrB2YMj7LqCCW+TJNX8dxIaqp7W8CBAgQILBPgc2GqAoy1QpV1dMOMAlIFX7a01QIaoaohLKuU3DN8dUCViGslluP7TLUeI8ECBAgQIDAfgQ2G6KqNalanJpVkhBUp9KGQlRzmkyXoU7LpaWp618CUp3e6/uBRiGqWRv+JkCAAAEC+xTYbIi6Z0tU+/Rfu+q1RLVFPCdAgAABAscT2GyISlUN9Ymq03xpYWqHomrFqtNxzdN5FZDarUzprF6tVRXg6nRg19um2RrW9bpxBAgQIECAwLYFNh2iKvBUYKqr8yrspGryd07LVQf0XE2XUNW+gq89T57XlXe1nuapw8yf5bSnqWBVAa9e3/bbROkJECBAgACBtsCmQ1Q2JqElYab6L1VYqg1NGErgyb+haZohKn2amn2jsvwKarXcPLanqQBV5ar1ZXkGAgQIECBAYF8Cmw9Rt6iOClq3WJZlECBAgAABAscQEKJ+eA+odgvWMarfVhIgQIAAAQJTBQ4donKKLqfcmn2bpkKajwABAgQIEDiWwKFD1LGq2tYSIECAAAECtxQQom6paVkECBAgQIDAYQSEqMNUtQ0lQIAAAQIEbikgRN1S07IIECBAgACBwwgIUYepahtKgAABAgQI3FJAiLqlpmURIECAAAEChxEQog5T1TaUAAECBAgQuKWAEHVLTcsiQIAAAQIEDiMgRB2mqm0oAQIECBAgcEsBIeqWmpZFgAABAgQIHEZAiDpMVdtQAgQIECBA4JYCQtQtNS2LAAECBAgQOIyAEHWYqrahBAgQIECAwC0FhKhbaloWAQIECBAgcBgBIeowVW1DCRAgQIAAgVsKCFG31LQsAgQIECBA4DACQtRhqtqGEiBAgAABArcUEKJuqWlZBAgQIECAwGEEhKjDVLUNJUCAAAECBG4pIETdUtOyCBAgQIAAgcMICFGHqWobSoAAAQIECNxSQIi6paZlESBAgAABAocR+P/Kngk4di6ZDwAAAABJRU5ErkJggg=="></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>
<br><hr><br>