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</div><h2>HL Paper 2</h2><div class="specification">
<p>A beam of coherent monochromatic light from a distant galaxy is used in an optics experiment on Earth.</p>
</div>
<div class="specification">
<p>The beam is incident normally on a double slit. The distance between the slits is 0.300 mm. A screen is at a distance <em>D </em>from the slits. The diffraction angle <em>θ </em>is labelled.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-10_om_17.53.34.png" alt="M18/4/PHYSI/SP2/ENG/TZ1/03.a"></p>
</div>
<div class="specification">
<p>The graph of variation of intensity with diffraction angle for this experiment is shown.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-13_om_12.36.49.png" alt="M18/4/PHYSI/HP2/ENG/TZ1/03.b"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why the beam has to be coherent in order for the fringes to be visible.</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>Calculate the angular separation between the central peak and the missing peak in the double-slit interference intensity pattern. State your answer to an appropriate number of significant figures.</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>Deduce, in mm, the width of one slit.</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 wavelength of the light in the beam when emitted by the galaxy was 621.4 nm.</p>
<p>Explain, without further calculation, what can be deduced about the relative motion of the galaxy and the Earth.</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>light waves (from slits) must have constant phase difference / no phase difference / be in phase</p>
<p> </p>
<p><em>OWTTE</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>sin <em>θ</em> = \(\frac{{4 \times 633.0 \times {{10}^{ - 9}}}}{{0.300 \times {{10}^{ - 3}}}}\)</p>
<p>sin <em>θ</em> = 0.0084401…</p>
<p>final answer to three sig figs (<em>eg </em>0.00844 or 8.44 × 10<sup>–3</sup>)</p>
<p> </p>
<p><em>Allow ECF from (a)(iii).</em></p>
<p><em>Award </em><strong><em>[1] </em></strong><em>for 0.121 rad (can award MP3 in addition for proper sig fig)</em></p>
<p><em>Accept calculation in degrees leading to 0.481 degrees.</em></p>
<p><em>Award MP3 for <span>any</span> answer expressed to 3sf.</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>use of diffraction formula <strong>«</strong><span class="Apple-converted-space"><em>b</em> = \(\frac{\lambda }{\theta }\)</span><strong>»</strong></p>
<p><strong><em>OR</em></strong></p>
<p>\(\frac{{633.0 \times {{10}^{ - 9}}}}{{0.00844}}\)</p>
<p><strong>«</strong><span class="Apple-converted-space">=</span><strong>»</strong> 7.5<strong>«</strong><span class="Apple-converted-space">00</span><strong>»</strong> × 10<sup>–2</sup><strong> «</strong>mm<strong>»</strong></p>
<p> </p>
<p><em>Allow ECF from (b)(i).</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>wavelength increases (so frequency decreases) / light is redshifted</p>
<p>galaxy is moving away from Earth</p>
<p> </p>
<p><em>Allow ECF for MP2 (ie wavelength decreases so moving towards).</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.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.</div>
</div>
<br><hr><br><div class="specification">
<p>An elastic climbing rope is tested by fixing one end of the rope to the top of a crane. The other end of the rope is connected to a block which is initially at position A. The block is released from rest. The mass of the rope is negligible.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-10_om_17.44.22.png" alt="M18/4/PHYSI/SP2/ENG/TZ1/01"></p>
<p>The unextended length of the rope is 60.0 m. From position A to position B, the block falls freely.</p>
</div>
<div class="specification">
<p>In another test, the block hangs in equilibrium at the end of the same elastic rope. The elastic constant of the rope is 400 Nm<sup>–1</sup>. The block is pulled 3.50 m vertically below the equilibrium position and is then released from rest.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the time taken for the block to return to the equilibrium position for the first time.<span class="Apple-converted-space"> </span></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the speed of the block as it passes the equilibrium position.<span class="Apple-converted-space"> </span></p>
<div class="marks">[2]</div>
<div class="question_part_label">e.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><em>T</em> = 2<em>π</em>\(\sqrt {\frac{{80.0}}{{400}}} \) = 2.81 <strong>«</strong><span class="Apple-converted-space">s</span><strong>»</strong></p>
<p>time = \(\frac{T}{4}\) = 0.702 <strong>«</strong><span class="Apple-converted-space">s</span><strong>»</strong></p>
<p> </p>
<p><em>Award </em><strong><em>[0] </em></strong><em>for kinematic solutions that assume a constant acceleration.</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><em>ALTERNATIVE 1</em></strong></p>
<p><em>ω</em> = \(\frac{{2\pi }}{{2.81}}\) = 2.24 <strong>«</strong><span class="Apple-converted-space">rad s<sup>–1</sup></span><strong>»</strong></p>
<p><em>v </em>= 2.24 × 3.50 = 7.84 <strong>«</strong><span class="Apple-converted-space">ms<sup>–1</sup></span><strong>»</strong></p>
<p> </p>
<p><strong><em>ALTERNATIVE 2</em></strong></p>
<p>\(\frac{1}{2}\)<em>kx</em><sup>2</sup> = \(\frac{1}{2}\)<em>mv</em><sup>2</sup> <strong><em>OR</em></strong> \(\frac{1}{2}\)400 × 3.5<sup>2</sup> = \(\frac{1}{2}\)80<em>v</em><sup>2</sup></p>
<p><em>v = </em>7.84 <strong>«</strong><span class="Apple-converted-space">ms<sup>–1</sup></span><strong>»</strong></p>
<p> </p>
<p><em>Award </em><strong><em>[0] </em></strong><em>for kinematic solutions that assume a constant acceleration.</em></p>
<p><em>Allow ECF for T from (e)(i).</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">e.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">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.ii.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Police use radar to detect speeding cars. A police officer stands at the side of the road and points a radar device at an approaching car. The device emits microwaves which reflect off the car and return to the device. A change in frequency between the emitted and received microwaves is measured at the radar device.</p>
<p>The frequency change Δ<em>f</em> is given by</p>
<p>\[\Delta f = \frac{{2fv}}{c}\]</p>
<p>where <em>f</em> is the transmitter frequency, <em>v</em> is the speed of the car and <em>c</em> is the wave speed.</p>
<p>The following data are available.</p>
<table style="width: 410.333px;">
<tbody>
<tr>
<td style="width: 308px; padding-left: 120px;">Transmitter frequency <em>f</em></td>
<td style="width: 198.333px;">= 40 GHz</td>
</tr>
<tr>
<td style="width: 308px; padding-left: 120px;">Δ<em>f</em></td>
<td style="width: 198.333px;">= 9.5 kHz</td>
</tr>
<tr>
<td style="width: 308px; padding-left: 120px;">Maximum speed allowed</td>
<td style="width: 198.333px;">= 28 m s<sup>–1</sup></td>
</tr>
</tbody>
</table>
<p> </p>
<p>(i) Explain the reason for the frequency change.</p>
<p>(ii) Suggest why there is a factor of 2 in the frequency-change equation.</p>
<p>(iii) Determine whether the speed of the car is below the maximum speed allowed.</p>
<div class="marks">[6]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Airports use radar to track the position of aircraft. The waves are reflected from the aircraft and detected by a large circular receiver. The receiver must be able to resolve the radar images of two aircraft flying close to each other.</p>
<p>The following data are available.</p>
<table style="width: 593px;">
<tbody>
<tr>
<td style="width: 485px; padding-left: 90px;">Diameter of circular radar receiver</td>
<td style="width: 368px;">= 9.3 m</td>
</tr>
<tr>
<td style="width: 485px; padding-left: 90px;">Wavelength of radar</td>
<td style="width: 368px;">= 2.5 cm</td>
</tr>
<tr>
<td style="width: 485px; padding-left: 90px;">Distance of two aircraft from the airport</td>
<td style="width: 368px;">= 31 km</td>
</tr>
</tbody>
</table>
<p> </p>
<p>Calculate the minimum distance between the two aircraft when their images can just be resolved.</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>i<br>mention of Doppler effect<br><em><strong>OR</strong></em><br>«relative» motion between source and observer produces frequency/wavelength change<br><em>Accept answers which refer to a double frequency shift.</em><br><em>Award <strong>[0]</strong> if there is any suggestion that the wave speed is changed in the process.</em><br><br>the reflected waves come from an approaching “source” <br><em><strong>OR</strong></em><br>the incident waves strike an approaching “observer”</p>
<p>increased frequency received «by the device <em><strong>or</strong></em> by the car»</p>
<p><br><br>ii<br>the car is a moving “observer” and then a moving “source”, so the Doppler effect occurs twice<br><em><strong>OR</strong></em><br>the reflected radar appears to come from a “virtual image” of the device travelling at 2 v towards the device</p>
<p> </p>
<p>iii<br><strong>ALTERNATIVE 1</strong><br><em>For both alternatives, allow ecf to conclusion if v <strong>OR</strong> Δf are incorrectly calculated.</em></p>
<p><em>v</em> = «\(\frac{{\left( {3 \times {{10}^8}} \right) \times \left( {9.5 \times {{10}^3}} \right)}}{{\left( {40 \times {{10}^9}} \right) \times 2}} = \)» 36 «ms<sup>–1</sup>»</p>
<p>«36> 28» so car exceeded limit<br><em>There must be a sense of a conclusion even if numbers are not quoted.</em></p>
<p><strong>ALTERNATIVE 2</strong><br><em>reverse argument using speed limit.</em></p>
<p>\(\Delta f = \) «\(\frac{{2 \times 40 \times {{10}^9} \times 28}}{{3 \times {{10}^8}}} = \)» 7500 «Hz»</p>
<p>« 9500> 7500» so car exceeded limit<br><em>There must be a sense of a conclusion even if numbers are not quoted.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(x = \frac{{31 \times {{10}^3} \times 1.22 \times 2.5 \times {{10}^{ - 2}}}}{{9.3}}\)<em><br>Award <strong>[2]</strong> for a bald correct answer.</em><br><em>Award <strong>[1 max]</strong> for POT error.</em></p>
<p>100 «m»<br><em>Award <strong>[1 max]</strong> for 83m (omits 1.22).</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 class="p1">This question is about the motion of a ship and observing objects from it.</p>
</div>
<div class="specification">
<p class="p1">The sailors on the ship wear polarized sunglasses when observing the sea from the ship. Unpolarized light from the Sun is incident on the sea.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">A security camera on the ship captures an image of two green lamps on the shore. The lamps emit light of wavelength 520 nm.</p>
<p class="p1" style="text-align: left;"><img src="images/Schermafbeelding_2016-09-01_om_07.34.21.png" alt="N14/4/PHYSI/HP2/ENG/TZ0/07.e"></p>
<p class="p1">The camera has a circular aperture of diameter 6.2 mm. The lamps are separated by 1.5 m. Determine the maximum distance between the camera and the lamps at which the images of the lamps can be distinguished.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Describe the polarization of the sunlight that is reflected from the sea.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline how polarized sunglasses help to reduce glare from the sea.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.iii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>use of \(\theta = \frac{{1.22\lambda }}{d}\);</p>
<p>\(\left( {\frac{{1.22 \times 520 \times {{10}^{ - 9}}}}{{6.2 \times {{10}^{ - 3}}}}} \right) = 1.02 \times {10^{ - 4}}\);</p>
<p>distance \( = \left( {\frac{{1.5}}{{1.02 \times {{10}^{ - 4}}}} = } \right)1.47 \times {10^4}{\text{ m}}\);</p>
<p><em>Award </em><strong><em>[2 max] </em></strong><em>if distance is </em>\(1.79 \times {10^4}{\text{ }}m\)<em> (ignoring factor of 1.22) in second marking point.</em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">partially/partly;</p>
<p class="p1">plane/horizontally polarized;</p>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">the light from the sea is (predominantly) <span style="text-decoration: underline;">horizontally</span> polarized;</p>
<p class="p1">the sunglasses are arranged to admit a particular/vertical plane of polarization;</p>
<p class="p1">hence polarized sunglasses absorb much of the reflected light/glare;</p>
<div class="question_part_label">f.iii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">The Rayleigh criterion for a circular aperture was almost always used to find resolving power correctly. The third mark for finding distance was often lost as some candidates used tanθ (with their calculator in degree mode) or used 750m instead of 1500m in their calculation.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Two marks were obtained for stating that the reflected light from the sea was partially plane/horizontally polarised. Most candidates obtained only one mark. Many obtained no mark as they simply stated that the light would be polarised – which is essentially rewording the question.</p>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This was a 3 mark question, so candidates needed to give a detailed response, including the respective planes of polarisation of reflected light and the polaroid, in explaining the action of polarising sunglasses.</p>
<div class="question_part_label">f.iii.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> The Doppler effect and optical resolution</p>
<p>The Doppler effect can be used to deduce that a particular star X is moving towards Earth.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe what is meant by the Doppler effect.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>One of the lines in the spectrum of atomic hydrogen has a frequency of 4.6×10<sup>16</sup>Hz as measured in the laboratory. The same line in the spectrum of star X is observed on Earth to be shifted by 1.3×10<sup>12</sup>Hz.</p>
<p>(i) State the direction of the observed frequency shift.</p>
<p>(ii) Determine the speed at which X is moving towards Earth stating any assumption that you have made.</p>
<div class="marks">[4]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The star X has a companion star Y. The distance from Earth to the stars is 1.0×10<sup>18</sup>m. The images of X and Y are just resolved according to the Rayleigh criterion by a telescope on Earth with a circular eyepiece lens of diameter 5.0×10<sup>–2</sup>m.</p>
<p>(i) State what is meant by the statement “just resolved according to the Rayleigh criterion”.</p>
<p>(ii) The average wavelength of the light emitted by the stars is 4.8×10<sup>–7</sup>m. Determine the separation of X and Y.</p>
<div class="marks">[5]</div>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the observed change in frequency/wavelength of a wave;<br>emitted by a source moving away from or towards/relative to the observer;</p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) a blue-shift / towards the blue end of the spectrum / to a higher frequency / <em>OWTTE</em>;</p>
<p>(ii) \(v = \left( {\frac{{c\Delta f}}{f} = } \right)\frac{{3 \times {{10}^8} \times 1.3 \times {{10}^{12}}}}{{4.6 \times {{10}^{16}}}}\);<br>8.5×10<sup>3</sup>ms<sup>-1</sup>;<br>assume that the speed is very much less than speed of light;</p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) the two stars are (just) seen as separate images;<br>if the central maximum of the diffraction image of one star coincides with the first minimum of the diffraction image of the other star / <em>OWTTE</em>;<br><em>Accept an appropriate diagram for second marking point.</em></p>
<p>(ii) \(\theta = \left( {\frac{{1.22\lambda }}{b} = } \right)\frac{{1.22 \times 4.8 \times {{10}^{ - 7}}}}{{5.0 \times {{10}^{ - 2}}}}\) <em><strong>or </strong></em>1.17×10<sup>-5</sup>rad;<br>\(\theta = \frac{d}{{1.0 \times {{10}^{18}}}}\);<br>(<em>d</em>=)1.2×10<sup>13</sup>m;<br><em>Award <strong>[2 max]</strong> if 1.22 is missing, giving an answer of 0.98×10<sup>13</sup></em>.</p>
<div class="question_part_label">h.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">h.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about simple harmonic motion (SHM) and sound.</p>
<p class="p1">The diagram shows a section of continuous track of a long-playing (LP) record. The stylus (needle) is placed in the track of the record.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-07_om_08.51.49.png" alt="M14/4/PHYSI/HP2/ENG/TZ2/07_01"></p>
<p class="p1">As the LP record rotates, the stylus moves because of changes in the width and position of the track. These movements are converted into sound waves by an electrical system and a loudspeaker.</p>
<p class="p1">A recording of a single-frequency musical note is played. The graph shows the variation in horizontal acceleration of the stylus with horizontal displacement.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-07_om_08.53.18.png" alt="M14/4/PHYSI/HP2/ENG/TZ2/07_02"></p>
</div>
<div class="question">
<p class="p1">The mass of the stylus is \(5.5 \times {10^{ - 4}}{\text{ kg}}\). Determine the maximum kinetic energy of the stylus.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p class="p1">\({x_0} = 4.8 \times {10^{ - 5}}{\text{ (m)}}\);</p>
<p class="p1">\({E_{\text{k}}} = \frac{1}{2}m{\omega ^2}x_0^2 = 9.9 \times {10^{ - 7}}{\text{ (J)}}\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)\(1.0 \times {10^{ - 6}}{\text{ (J)}}\);</p>
<p class="p1"><em>Allow </em><strong><em>[2] </em></strong><em>for a bald correct answer.</em></p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about waves.</p>
</div>
<div class="specification">
<p class="p1">The diagram represents a standing (stationary) wave in air in a pipe which is open at both ends.</p>
<p class="p1"><img src="images/Schermafbeelding_2016-09-07_om_09.35.25.png" alt="M14/4/PHYSI/HP2/ENG/TZ2/04.a"></p>
<p class="p1">Two points in the pipe are labelled P and Q.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) State the direction of oscillation of an air molecule at point P.</p>
<p class="p1">(ii) Compare the amplitude of oscillation of an air molecule at point P with that of an air molecule at point Q.</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 class="p1">A hollow pipe open at both ends is suspended just above the ground on a construction site.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-07_om_09.55.46.png" alt="M14/4/PHYSI/HP2/ENG/TZ2/04.b"></p>
<p class="p1">Wind blows across one end of the pipe. This causes a standing wave to form in the air of the pipe, producing the first harmonic. The pipe has a length of 2.1 m and the speed of sound in air is \(330{\text{ m}}\,{{\text{s}}^{ - 1}}\).</p>
<p class="p1">Estimate the frequency of the first harmonic standing wave.</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 class="p1">The pipe is held stationary by the crane and an observer runs towards the pipe. Outline how the frequency of the sound measured by the observer is different from the frequency of the sound emitted by the pipe.</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 class="p1">(i) along axis of pipe / horizontal / left to right;</p>
<p class="p1"><em>Do not allow “right” or “left” alone. Allow correct answers that appear on the diagram.</em></p>
<p class="p1">(ii) P has greater/maximum amplitude;</p>
<p class="p1">Q does not move/has zero amplitude;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\lambda = 4.2{\text{ m}}\);</p>
<p class="p1">79 <strong><em>or </em></strong>78.6 (Hz); <em>(do not allow 78 Hz)</em></p>
<p class="p1"><em>Award </em><strong><em>[2] </em></strong><em>for a bald correct answer.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">wavefronts emitted by the pipe at regular time intervals;</p>
<p class="p1">observer crosses the wavefronts more often than if stationary;</p>
<p class="p1">so frequency is higher;</p>
<p class="p1"><em>Award </em><strong><em>[0] </em></strong><em>for a bald correct answer.</em></p>
<p class="p1"><strong><em>or </em></strong></p>
<p class="p1">observer moving towards the source measures the emitted wavelength;</p>
<p class="p1">but (relative) wave speed measured is higher than that emitted;</p>
<p class="p1">so frequency is higher;</p>
<p class="p1"><em>Award </em><strong><em>[0] </em></strong><em>for a bald correct answer. </em></p>
<p class="p1"><strong><em>or </em></strong></p>
<p class="p1">quotes Doppler equation correctly;</p>
<p class="p1">deduces higher frequency correctly;</p>
<p class="p1"><em>Award </em><strong><em>[2 max] </em></strong><em>for this approach. </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;">
<p class="p1">(i) Most candidates were imprecise in their descriptions of the direction of motion of the air molecule. Very many think that the conventional diagram for the standing sound wave in a gas shows that the molecules move between the drawn lines of the wave. Answers such as “vertical” were common. Other inadequate responses featured “to the right” without the candidate realising that this implies that a molecule moves continually to the right eventually leaving the tube.</p>
<p class="p1">(ii) Descriptions of the amplitudes at P and Q were better but for a minority of candidates there was confusion between the meaning of node and antinode.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Calculations were generally well done.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This question was an “outline” and required a more sophisticated approach than “it is caused by the Doppler effect”. Examiners were looking for a description of the causes of the change in wavelength as perceived by the moving observer. Explanations that quoted a Doppler equation (it had to be the correct one) and deduced an increase in frequency were not awarded full marks as this is little more than copying by rote from the data booklet.</p>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Resolution and the Doppler effect</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Radio telescopes can be used to locate distant galaxies. The ability of such telescopes to resolve the images of galaxies is increased by using two telescopes separated by a large distance <em>D</em>. The telescopes behave as a single radio telescope with a dish diameter equal to <em>D</em>.</p>
<p>The images of two distant galaxies <em>G</em><sub>1</sub><em> </em>and <em>G</em><sub>2</sub> are just resolved by the two telescopes.</p>
<p>(i) State the phenomenon that limits the ability of radio telescopes to resolve images.</p>
<p>(ii) State the Rayleigh criterion for the images of <em>G</em><sub>1</sub><em> </em>and <em>G</em><sub>2 </sub>to be just resolved.</p>
<p>(iii) Determine, using the following data, the separation <em>d</em> of <em>G</em><sub>1</sub><em> </em>and <em>G</em><sub>2 </sub>.</p>
<p style="text-align: left;">Effective distance of <em>G</em><sub>1</sub><em> </em>and <em>G</em><sub>2 </sub>from Earth = 2.2 ×10<sup>25 </sup>m<br>Separation <em>D</em> = 4.0 ×10<sup>3 </sup>m<br>Wavelength of radio waves received from <em>G</em><sub>1</sub><em> </em>and <em>G</em><sub>2</sub>= 0.14 m</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Due to the Doppler effect, light from distant galaxies is often red-shifted.</p>
<p>(i) Describe, with reference to the Doppler effect, what is meant by red-shift.</p>
<p>(ii) The frequency of a particular spectral line as measured in the laboratory is 4.57 ×10<sup>14</sup> Hz. The same line in the spectrum of a distant galaxy has a frequency that is lower than the laboratory value by 6.40 ×10<sup>11</sup> Hz. Determine the speed with<br>which the galaxy is receding from Earth.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p>(i) diffraction; </p>
<p>(ii) the (central) maximum of the diffraction pattern of one image coincides with the first minimum of the diffraction pattern of the other image; <br><em>Allow mark for clear diagram.</em></p>
<p>(iii) angular separation of <em>G</em><sub>1</sub><em> </em>and \({G_2} = \frac{d}{{2.2 \times {{10}^{25}}}}\);<br>\(\frac{d}{{2.2 \times {{10}^{25}}}} = \left( {1.22\frac{\lambda }{D} = } \right)\frac{{1.22 \times 0.14}}{{4.0 \times {{10}^3}}}\);<br><em><span style="font-size: 12pt; font-family: 'Times New Roman,Italic';">d</span></em><span style="font-size: 12.000000pt; font-family: 'Symbol';"></span><span style="font-size: 12.000000pt; font-family: 'Times New Roman';">9.4</span><span style="font-size: 12.000000pt; font-family: 'Symbol';"></span><span style="font-size: 12.000000pt; font-family: 'Times New Roman';">10</span><span style="font-size: 7.000000pt; font-family: 'Times New Roman'; vertical-align: 5.000000pt;">20 </span><span style="font-size: 12.000000pt; font-family: 'Times New Roman';">m; </span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<p>(i) if there is relative motion between source/galaxy and observer/Earth;<br>the observed frequency/wavelength will differ from the source frequency/wavelength;<br>the observed frequency will be lower / the observed wavelength will be greater if the direction of relative motion is away from the source;<br><em>(to award the mark it must be clear in which direction a red-shift occurs)</em><br><em>Award <strong>[3]</strong> for a good description that mentions all of the above.</em><br><em>Award <strong>[3]</strong> for a clear annotated diagram that shows all of the above points.</em></p>
<p>(ii) \(\frac{{\Delta f}}{f} = \frac{v}{{3 \times {{10}^8}}} = \left( {\frac{{6.40 \times {{10}^{11}}}}{{4.57 \times {{10}^{14}}}} = } \right)1.40 \times {10^{ - 3}}\);<br>\(v = \left( {3 \times {{10}^8} \times 1.40 \times {{10}^{ - 3}} = } \right)4.20 \times {10^5}{\rm{m}}{{\rm{s}}^{ - 1}}\);</p>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p>(i) Many recognized that the phenomenon at work is diffraction. Common incorrect responses included “Rayleigh criterion” and “interference”.<br>(ii) Candidates often failed to make clear that their answer referred to the diffraction patterns of <em>G</em><sub>1</sub> and <em>G</em><sub>2</sub>, it was common to see candidates writing about the “first maximum of <em>G</em><sub>1</sub>” etc.<br>(iii) Many were able to negotiate this two-step calculation with ease.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 6">
<div class="layoutArea">
<div class="column">
<div class="page" title="Page 1">
<div class="layoutArea">
<div class="column">
<p>(i) Descriptions of red shift in terms of the Doppler effect were well done with many high marks seen.<br>(ii) Candidates frequently became confused in this calculation as to the meaning of the symbols quoted in the Data Booklet. Examiners often saw answers of about 3 x 10<sup>8</sup> m s<sup>–1</sup> (or greater) with no realization by the candidate that an answer of this magnitude is implausible.</p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The ball is now displaced through a small distance <em>x </em>from the bottom of the bowl and is then released from rest.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-14_om_06.19.20.png" alt="M18/4/PHYSI/HP2/ENG/TZ2/01.d"></p>
<p>The magnitude of the force on the ball towards the equilibrium position is given by</p>
<p style="text-align: left;">\[\frac{{mgx}}{R}\]</p>
<p>where <em>R </em>is the radius of the bowl.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why the ball will perform simple harmonic oscillations about the equilibrium position.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the period of oscillation of the ball is about 6 s.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The amplitude of oscillation is 0.12 m. On the axes, draw a graph to show the variation with time <em>t </em>of the velocity <strong><em>v </em></strong>of the ball during one period.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[3]</div>
<div class="question_part_label">d.iii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the <strong>«</strong>restoring<strong>» </strong>force/acceleration is proportional to displacement</p>
<p> </p>
<p><em>Direction is not required</em></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>ω</em> = <strong>«</strong><span class="Apple-converted-space">\(\sqrt {\frac{g}{R}} \)</span><strong>»</strong> = \(\sqrt {\frac{{9.81}}{{8.0}}} \) <strong>«</strong><span class="Apple-converted-space">= 1.107 s<sup>–1</sup></span><strong>»</strong></p>
<p><em>T</em> = <strong>«</strong><span class="Apple-converted-space">\(\frac{{2\pi }}{\omega }\) = \(\frac{{2\pi }}{{1.107}}\) =</span><strong>»</strong> 5.7 <strong>«</strong><span class="Apple-converted-space">s</span><strong>»</strong></p>
<p> </p>
<p><em>Allow use of </em>or <em>g = 9.8 or 10</em></p>
<p><em>Award </em><strong><em>[0] </em></strong><em>for a substitution into T = 2π</em>\(\sqrt {\frac{I}{g}} \)</p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>sine graph</p>
<p>correct amplitude <strong>«</strong>0.13 m s<sup>–1</sup><strong>»</strong></p>
<p>correct period and only 1 period shown</p>
<p> </p>
<p><em>Accept ± sine for shape of the graph. Accept 5.7 s or 6.0 s for the correct period.</em></p>
<p><em>Amplitude should be correct to ±</em>\(\frac{1}{2}\) <em>square for MP2</em></p>
<p><em>eg: v /</em>m s<sup>–1 </sup> <img src="images/Schermafbeelding_2018-08-14_om_06.59.06.png" alt="M18/4/PHYSI/HP2/ENG/TZ2/01.d.iii"></p>
<p><em><strong>[3 marks]</strong></em></p>
<div class="question_part_label">d.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">d.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.iii.</div>
</div>
<br><hr><br><div class="specification">
<p>Yellow light from a sodium lamp of wavelength 590 nm is incident at normal incidence on a double slit. The resulting interference pattern is observed on a screen. The intensity of the pattern on the screen is shown.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>The double slit is replaced by a diffraction grating that has 600 lines per millimetre. The resulting pattern on the screen is shown.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why zero intensity is observed at position A.</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 distance from the centre of the pattern to A is 4.1 x 10<sup>–2</sup> m. The distance from the screen to the slits is 7.0 m.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>Calculate the width of each slit.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the separation of the two slits.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State and explain the differences between the pattern on the screen due to the grating and the pattern due to the double slit.</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>The yellow light is made from two very similar wavelengths that produce two lines in the spectrum of sodium. The wavelengths are 588.995 nm and 589.592 nm. These two lines can just be resolved in the second-order spectrum of this diffraction grating. Determine the beam width of the light incident on the diffraction grating.</p>
<div class="marks">[3]</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>the diagram shows the combined effect of «single slit» diffraction and «double slit» interference</p>
<p>recognition that there is a minimum of the single slit pattern</p>
<p><em><strong>OR</strong></em></p>
<p>a missing maximum of the double slit pattern at A</p>
<p>waves «from the single slit» are in antiphase/cancel/have a path difference of (<em>n</em> + \(\frac{1}{2}\))<em>λ</em>/destructive interference at A</p>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>θ</em> = \(\frac{{4.1 \times {{10}^{ - 2}}}}{{7.0}}\) <em><strong>OR</strong> b</em> = \(\frac{\lambda }{\theta }\) «= \(\frac{{7.0 \times 5.9 \times {{10}^{ - 7}}}}{{4.1 \times {{10}^{ - 2}}}}\)»</p>
<p>1.0 × 10<sup>–4</sup> «m»</p>
<p><em>Award <strong>[0]</strong> for use of double slit formula (which gives the correct answer so do not award BCA) </em></p>
<p><em>Allow use of sin or tan for small angles</em></p>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>use of <em>s</em> = \(\frac{{\lambda D}}{d}\) with 3 fringes «\(\frac{{590 \times {{10}^{ - 9}} \times 7.0}}{{4.1 \times {{10}^{ - 2}}}}\)»</p>
<p>3.0 x 10<sup>–4</sup> «m»</p>
<p><em>Allow ECF.</em></p>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>fringes are further apart because the separation of slits is «much» less</p>
<p>intensity does not change «significantly» across the pattern <em><strong>or</strong> </em>diffraction envelope is broader because slits are «much» narrower</p>
<p>the fringes are narrower/sharper because the region/area of constructive interference is smaller/there are more slits</p>
<p>intensity of peaks has increased because more light can pass through</p>
<p><em>Award <strong>[1 max]</strong> for stating one or more differences with no explanation</em></p>
<p><em>Award <strong>[2 max]</strong> for stating one difference with its explanation</em></p>
<p><em>Award <strong>[MP3]</strong> for a second difference with its explanation</em></p>
<p><em>Allow “peaks” for “fringes”</em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Δ<em>λ</em> = 589.592 – 588.995</p>
<p><em><strong>OR</strong></em></p>
<p>Δ<em>λ</em> = 0.597 «nm»</p>
<p><em>N</em> = «\(\frac{\lambda }{{m\Delta \lambda }}\) =» \(\frac{{589}}{{2 \times 0.597}}\) «493»</p>
<p>beam width = «\(\frac{{493}}{{600}}\) =» 8.2 x 10<sup>–4</sup> «m» <em><strong>or</strong> </em>0.82 «mm»</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.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>
<br><hr><br><div class="specification">
<p>A student is investigating a method to measure the mass of a wooden block by timing the period of its oscillations on a spring.</p>
</div>
<div class="specification">
<p>A 0.52 kg mass performs simple harmonic motion with a period of 0.86 s when attached to the spring. A wooden block attached to the same spring oscillates with a period of 0.74 s.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>With the block stationary a longitudinal wave is made to travel through the original spring from left to right. The diagram shows the variation with distance <em>x</em> of the displacement <em>y</em> of the coils of the spring at an instant of time.</p>
<p style="text-align: center;"><img 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"></p>
<p style="text-align: left;">A point on the graph has been labelled that represents a point P on the spring.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the conditions required for an object to perform simple harmonic motion (SHM).</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 mass of the wooden block.</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>In carrying out the experiment the student displaced the block horizontally by 4.8 cm from the equilibrium position. Determine the total energy in the oscillation of the wooden block.</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>A second identical spring is placed in parallel and the experiment in (b) is repeated. Suggest how this change affects the fractional uncertainty in the mass of the block.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the direction of motion of P on the spring.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain whether P is at the centre of a compression or the centre of a rarefaction.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>acceleration/restoring force is proportional to displacement<br>and in the opposite direction/directed towards equilibrium</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong>ALTERNATIVE 1</strong></em></p>
<p>\(\frac{{T_1^2}}{{T_2^2}} = \frac{{{m_1}}}{{{m_2}}}\)</p>
<p>mass = 0.38 / 0.39 «kg»</p>
<p> </p>
<p><em><strong>ALTERNATIVE 2</strong></em></p>
<p>«use of <em>T \( = 2\pi \sqrt {\frac{m}{k}} \)</em>» <em>k</em> = 28 «Nm<sup>–1</sup>»</p>
<p>«use of <em>T \( = 2\pi \sqrt {\frac{m}{k}} \)</em>» <em>m</em> = 0.38 / 0.39 «kg»</p>
<p> </p>
<p><em>Allow ECF from MP1.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>ω </em>= «\(\frac{{2\pi }}{{0.74}}\)» <em>= </em>8.5 «rads<sup>–1</sup>»</p>
<p>total energy = \(\frac{1}{2} \times 0.39 \times {8.5^2} \times {(4.8 \times {10^{ - 2}})^2}\)</p>
<p>= 0.032 «J»</p>
<p> </p>
<p><em>Allow ECF from (b) and incorrect ω.</em></p>
<p><em>Allow answer using k from part (b).</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>spring constant/k/stiffness would increase<br><em>T</em> would be smaller<br>fractional uncertainty in <em>T</em> would be greater, so fractional uncertainty of mass of block would be greater</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>left</p>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>coils to the right of P move right and the coils to the left move left</p>
<p>hence P at centre of rarefaction</p>
<p> </p>
<p><em>Do not allow a bald statement of rarefaction or answers that don’t include reference to the movement of coils.</em></p>
<p><em>Allow ECF from MP1 if the movement of the coils imply a compression.</em></p>
<div class="question_part_label">e.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.</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.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.ii.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Monochromatic light from two identical lamps arrives on a screen.</p>
<p> <img src="images/Schermafbeelding_2018-08-14_om_07.02.59.png" alt="M18/4/PHYSI/HP2/ENG/TZ2/05.a_01"></p>
<p>The intensity of light on the screen from each lamp separately is <em>I</em><sub>0</sub>.</p>
<p>On the axes, sketch a graph to show the variation with distance <em>x </em>on the screen of the intensity <em>I </em>of light on the screen.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAxMAAAEICAYAAAAk1KkhAAAgAElEQVR4Ae3dD+xlVZ0Y8O8PWcUU0YBbGZAuoVSwymozFGy1RXEdpEp2M66xywq6mGZNA8u6QVC0u61isz8ccQU3VaMUZiipthBaNIAiy7Z0u1KmcYVVmBqDWZhxWyF0nNQ/gd+vOTNcuXPnvnfO73F+v/m9ez83gffePed8z/f7OW/m/c68e2cWlpeXl8NBgAABAgQIECBAgACBFQocssL+uhMgQIAAAQIECBAgQGCvwKGNw8LCQvPUIwECBAgQIECAAAECBHoF2hc2/XwzkU6mDUW7sXe0kwQIECBAgAABAgQIjE6gb6/gMqfRvQ0UTIAAAQIECBAgQKCOgM1EHUdRCBAgQIAAAQIECIxOwGZidEuuYAIECBAgQIAAAQJ1BGwm6jiKQoAAAQIECBAgQGB0AjYTo1tyBRMgQIAAAQIECBCoI2AzUcdRFAIECBAgQIAAAQKjE7CZGN2SK5gAAQIECBAgQIBAHQGbiTqOohAgQIAAAQIECBAYnYDNxOiWXMEECBAgQIAAAQIE6gjYTNRxFIUAAQIECBAgQIDA6ARsJka35AomQIAAAQIECBAgUEfAZqKOoygECBAgQIAAAQIERidgMzG6JVcwAQIECBAgQIAAgToCNhN1HEUhQIAAAQIECBAgMDoBm4nRLbmCCRAgQIAAAQIECNQRsJmo4ygKAQIECBAgQIAAgdEJ2EyMbskVTIAAAQIECBAgQKCOgM1EHUdRCBAgQIAAAQIECIxOwGZidEuuYAIECBAgQIAAAQJ1BGwm6jiKQoAAAQIECBAgQGB0AjYTo1tyBRMgQIAAAQIECBCoI2AzUcdRFAIECBAgQIAAAQKjE7CZGN2SK5gAAQIECBAgQIBAHQGbiTqOohAgQIAAAQIECBAYnYDNxOiWXMEECBAgQIAAAQIE6gjYTNRxFIUAAQIECBAgQIDA6ARsJka35AomQIAAAQIECBAgUEfAZqKOoygECBAgQIAAAQIERidgMzG6JVcwAQIECBAgQIAAgToCNhN1HEUhQIAAAQIECBAgMDoBm4nRLbmCCRAgQIAAAQIECNQRsJmo4ygKAQIECBAgQIAAgdEJ2EyMbskVTIAAAQIECBAgQKCOgM1EHUdRCBAgQIAAAQIECIxOwGZidEuuYAIE1lZgT2zf8oZYWFho/XdivOvmv+pPY+nBuPas34xrd/ykvz1WGG9CFKcJECBAgEANAZuJGopiECBAYKLA4bHxkj+Jpx76QmxKfV5/Vdz3ox1x/ebj+kfs2RkP/cIb43UnHtbfHiuMNyGK0wQIECBAoIaAzUQNRTEIECAwVWAp9jzy3bg/Nsal/+K82Hj4pN96l2L3fXfHX27+h3HipC575ymNNzUpjQQIECBA4FkLTP24etbRBSBAgACBiPh/8b/+53+PXXFqnP7yF00ReTzuu+N/x+bXHR/Tf3MujTdlKk0ECBAgQKCCwPTPqwoTCEGAAIHRCyw9En/xtYciNp0Wr3zJoZM5dn8r7vjL06Zc4vT00NJ4k2fSQoAAAQIEqgjYTFRhFIQAAQKTBZa++2fxxa9GbHrHtMuX0iVOd8ZNrzg+js78zlwWb3I+WggQIECAQC2BzEdWrWnEIUCAwFgFnoy/fuDe+GocE68+/sVTLl/6Wfzg4cfjbWf9chwxlao03tQgGgkQIECAQBUBm4kqjIIQIEBgksAT8Z1v3BexYVOcdeqRkzpFLD0c99z8N6f32Tu6MN7kmbQQIECAAIFqAjYT1SgFIkCAQI9Aug9i2/aIN50aLz9i8m+56dKlm1/x+jh1Sp+90Qvj9WTiFAECBAgQqC4w+ZOt+lQCEiBAYGwC++6D2LZrQ2w64+/GSyaW/5P47j33xiuylziVxps4kQYCBAgQIFBVwGaiKqdgBAgQaAns+Xb8x+tvjV1xUrzpVS+dcr/EnnjkoYiTXnp4a3DP00nxlh6Nuy4/6+l/YfuYeMNlN8eOPUs9AZwiQIAAAQJ1BWwm6nqKRoAAgYjYE9u3vCEWXnBKvGfrAxFxd7z/1BfEiVu2x5N9Ptm/EjYT76+/Eddf93fipkd+Gss/uiXecu9Ncc/On/XN5BwBAgQIEKgqsLC8vLzcRFxYWIjWy+a0RwIECBBYxwJPbt8SJ199QvzX6zfHhvhh3HXZ2+P607fG9ZuP6836kUceieOOO87v9706ThIgQIDAJIG+vYJvJiZpOU+AAIG5FDgsXviLf2Nq5ldfffXe9scff3xqP40ECBAgQCAnYDORE9JOgACBAQns2LEj7r777r0V3XjjjQOqTCkECBAgcDAEbCYOhro5CRAgUFHg0GNOiNd+7b74zu6liD3fjj/5ygvjjFf+Yu8Mn//85+MDH/jA3raLLroofDvRy+QkAQIECBQK2EwUQulGgACBdSvwko3xq2ffGm984XNi4QWnx1UnvC3OOvGwA9JtvpU4++yz97Zdc8014duJA5icIECAAIEVCLgBewVYuhIgQGCeBS699NJ4zWteE5s3b97718g+9thjcdRRR0V6PPLIKf869zwXLXcCBAgQqCbgBuxqlAIRIEBgvgS630qk7NMGwrcT87WOsiVAgMB6E/DNxHpbEfkQIEBgFQTa30qk8M2fLqV7Jnw7sQrgQhIgQGCAAs1nR7s090y0NTwnQIDAnAgs7bo3rr+s/a9eb4vtu/r/obq+byWaMn070Uh4JECAAIFZBGwmZlEzhgABAgdRYOnRm+Of/aPPxlO/9R/2/sNzyz+6Ky6KG+LUd98QO5YOTOyBBx6IK664Ip7//Ocf2BgR5557btx55529bU4SIECAAIFpAi5zmqajjQABAutOIP0L12+Od8aV8eDimXFEk9/uu+Kyky+NuOH2WDzzxc3ZiY99X1VP7KyBAAECBAi0LpFtYxzafuE5AQIECKxzgd3fiju2RZx3wy8/s5FIKR9xZizuvG+dJy89AgQIEBiagMuchrai6iFAYNACSz94OL6564Q46YWPxl3XXhZvWFiIhYVT4l1b7ogde3qucRq0huIIECBA4GAL2Ewc7BUwP4E1Frjyyiv3mzG9bp/LvU6Dc3267cbsI++65F4f6LYUV3zihvjz+LPYdsm/jDuP/5148+JiLC6+PT545Jfin1x8Szy6tG990th0KdOk//Zl9Mz/Uy7tozS39Timm3vKsXsu93qMY9pr6TkBAgSKBZZbR0S6l89BgMCQBRYXF6eWt3Xr1qntqbFGn5IYuVxLcimZp0afGrnm63lq+bMfOGd5Q2xY3vSF7yw/1V6p//v15Us3bFy+9Ov/p2h9cr/f1zDJ11P2Xqphu1b11Mi1lltJzSX5tt9mnhMgMG6Bvs8ON2AXb7t0JECAwMEWWIrdd304Tn7jV+O8r3dutF56MK49+63xxXd8OW674OTIfe3sBuyDvZbmJ0CAwPwJ9H125D5v5q9KGRMgQGCwAofEEaf+Spy3YbAFKowAAQIE5kzAZmLOFky6BJ6tQLpWfNqxbdu2ac1722r0KYmRyzUlk4uTay+JUdKnRq4l82y75S/i9LN/Gtvu+FbsTgOaY8/OeOj+k+NNrzo6/l3BGjbDJj2ulVvJPDVsS+ap0adGrmlNcrnk2ktipD4l+U56jzhPgACBJGAz4X1AgACBeRJYOCo2/fML4qQrr4rPbX9iX+ZLu+LeL1wfN519QfzG33vRPFUjVwIECBCYcwH3TMz5AkqfAIExCizFnh1fi8987JJ4/9YHIuKVcf7Ht8SH3vumeNnhZX9G1Hfd6xgl1UyAAAEC5QJ9nx02E+V+ehIgQGAwAn0fCIMpTiEECBAgsCoCfZ8dZX+EtSrpCEqAAAECBAgQIECAwDwL2EzM8+rJncAMAt0bLtONnO2bOXOv05S5Pt32WcekXNdrbt0ac7nOatCdJ/e6mSc9NkffmKateUx92kffmL4+azHGe3b/X6PJPLc+3fZJY7q27fX0nAABAiUCLnMqUdKHAAECAxPo+6p6YCUqhwABAgQqC/R9dvhmojKycAQIECBAgAABAgTGImAzMZaVVicBAgQIECBAgACBygI2E5VBhSOw3gVy10h3r4vvq6dGn5IYuVxTbrk4ufaSGCV9auRaMk+tetJc045a8+Ti5NpTjjVsS+ap0adGrqnmXC659pIYpbapn4MAAQKTBGwmJsk4T4AAAQIECBAgQIDAVAE3YE/l0UiAAIFhCvTdRDfMSlVFgAABArUE+j47fDNRS1ccAgQIECBAgAABAiMTsJkY2YIrl0Dumu5a12Ln4uTa00rlck19cnFy7SUxSvrUyLVknlr1pLmmHbXmycXJtacca9iWzFOjT41cU825XHLtJTFKbVM/BwECBCYJ2ExMknGewEgE0g8l3R9M2q/72hPNtD7ttoaxL067X1+7efY5t51yJo13+7Fr243XjdmMbffrxmj6tB+7fdrjm365c90Yzbj2Y7dPN2a3vRnb7tft025r92+fbz9Pfbox2uPaz9vj2s9L+6zVPE0+HgkQILASAfdMrERLXwIECAxEoO+614GUpgwCBAgQWCWBvs8O30ysErawBAgQIECAAAECBIYuYDMx9BVWHwECBAgQIECAAIFVErCZWCVYYQmsV4HcDaJ913R3a6nRpyRGLteUVy5Orr0kRkmfGrmWzFOrnjTXtKPWPLk4ufaUYw3bknlq9KmRa6o5l0uuvSRGqW3q5yBAgMAkAfdMTJJxngABAgMW6LvudcDlKo0AAQIEKgj0fXb4ZqICrBAECBAgQIAAAQIExihgMzHGVVczAQIECBAgQIAAgQoCNhMVEIUgME8C3Wu607XX7euvc69Trbk+3fZZx6Rc12tu3Rpzuc5q0J0n97qZJz02R9+Ypq15TH3aR9+Yvj5rMcZ7dv9fo8k8tz7d9kljurbt9fScAAECRQLLrSMiWq88JUBgiAKLi4tTy9q6devU9tRYo09JjFyuJbmUzFOjT41c17Ke3O/3NUxq1VPDdq3qqZFrLbeSmkvyTfk4CBAgkAT6PjvcgF205dKJAAECwxLou4luWBWqhgABAgRqC/R9drjMqbayeAQIECBAgAABAgRGImAzMZKFViaBRiB3jXT3uvhmXPuxRp+SGLlcU065OLn2khglfWrkWjJPrXrSXNOOWvPk4uTaU441bEvmqdGnRq6p5lwuufaSGKW2qZ+DAAECkwRsJibJOE+AAAECBAgQIECAwFQB90xM5dFIgACBYQr0Xfc6zEpVRYAAAQK1BPo+O3wzUUtXHAIECBAgQIAAAQIjE7CZGNmCK5cAAQIECBAgQIBALQGbiVqS4hCYE4HuDaLpRs72zZy516nMXJ9u+6xjUq7rNbdujblcZzXozpN73cyTHpujb0zT1jymPu2jb0xfn7UY4z27/6/RZJ5bn277pDFd2/Z6ek6AAIESAfdMlCjpQ4AAgYEJ9F33OrASlUOAAAEClQX6Pjt8M1EZWTgCBAgQIECAAAECYxGwmRjLSquTAIGBCvwsHr35wjjmmMvjrt1LA61RWQQIECCwXgVsJtbrysiLwCoJ5K6R7l4X35dGjT4lMXK5ptxycXLtJTFK+tTItWSebj1Lj345fv/CP45dafDTR7dPc34ljyUxavQpiVHDtmSeGn1q5JrWKZdLrr0kRupTku9K3jf6EiAwPgGbifGtuYoJEBiKwJ4H4rrLPxHfO2njUCpSBwECBAjMmYAbsOdswaRLgACBfQJPxPYt74xzvvOOuP41t8amPzgxvv7gFXHmEWV/RtR3Ex1ZAgQIECAwTaDvs6PsU2daVG0ECBAgsMYCS7Fn+7+NS646Pj79kV+NX3rOGk9vOgIECBAg8LSAzYS3AoGRCeSuka51LXYuTq49LUsu19QnFyfXXhKjpE+NXEvm2VvPnvviM5f8l3jLrVfE5mOfm4btd5TUvN+AnhclMWr0KYlRw7Zknhp9auSaliOXS669JEbqU5Jvz9vDKQIECPxcwGbi5xSeEBinQPphov0Dxa5du/Z73W1PSrk+aUzq0z66cXIxmrHt3Loxas2Ty6VknpTvtFxTe415du38dpx/5ub4yls+GO/d+KK48sqr4vO3Pdhw7X1s7NPX0ZP+229AJ/eSXJs+7Til69MekzNp922e5+bptqdxuXnSmMbt2cyTxqZYzdHNpdY8tepp8vRIgACBWQXcMzGrnHEECBBYc4H018D+Xvz9a/523HrrxbHx8PTnQT+JHdeeHyd92D0Ta74cJiRAgMDIBPrumbCZGNmbQLkECMyxwNKDce3ZZ8Z7vrr/tz7PVLQhNn3hrrjtgpMj97Vz3wfCM3E8I0CAAAECBwr0fXbYTBzo5AwBAgTmSMA3E3O0WFIlQIDAXAv0bSZyf3g11wVLngCBAwXa13Mf2Jq/8TONqXHzZ0mMXK4luZTMU6NPjVzXsp6+tW+fq2FSq54atmtVT41ca7mV1FySb/t94TkBAgS6Ar6Z6Ip4TYAAgbkS8M3EXC2XZAkQIDDHAn3fTNhMzPGCSp0AAQKzCvR9IMwayzgCBAgQGIdA32eHy5zGsfaqJECAAAECBAgQIFBdwGaiOqmABNa3QPca6XRddfva6tzrVF2uT7d91jEp1/WaW7fGXK6zGnTnyb1u5kmPzdE3pmlrHlOf9tE3pq/PWozxnt3/12gyz61Pt33SmK5tez09J0CAQJHAcuuIiNYrTwkQGKLA4uLi1LK2bt06tT011uhTEiOXa0kuJfPU6FMj17WsJ/f7fQ2TWvXUsF2remrkWsutpOaSfFM+DgIECCSBvs8O90wUbbl0IkCAwLAE+q57HVaFqiFAgACB2gJ9nx0uc6qtLB4BAgQIECBAgACBkQjYTIxkoZVJoBHIXSPdvS6+Gdd+rNGnJEYu15RTLk6uvSRGSZ8auZbMU6ueNNe0o9Y8uTi59pRjDduSeWr0qZFrqjmXS669JEapbernIECAwCQBm4lJMs4TIECAAAECBAgQIDBVwD0TU3k0EiBAYJgCfde9DrNSVREgQIBALYG+zw7fTNTSFYcAAQIECBAgQIDAyARsJka24MolQIAAAQIECBAgUEvAZqKWpDgE5kSge4NoupGzfTNn7nUqM9en2z7rmJTres2tW2Mu11kNuvPkXjfzpMfm6BvTtDWPqU/76BvT12ctxnjP7v9rNJnn1qfbPmlM17a9np4TIECgRMA9EyVK+hAgQGBgAn3XvQ6sROUQIECAQGWBvs8O30xURhaOAAECBAgQIECAwFgEbCbGstLqJECAAAECBAgQIFBZwGaiMqhwBNa7QO4a6e518X311OhTEiOXa8otFyfXXhKjpE+NXEvmqVVPmmvaUWueXJxce8qxhm3JPDX61Mg11ZzLJddeEqPUNvVzECBAYJKAzcQkGecJECBAgAABAgQIEJgq4AbsqTwaCRAgMEyBvpvohlmpqggQIECglkDfZ4dvJmrpikOAAAECBAgQIEBgZAI2EyNbcOUSyF3TXeta7FycXHtaqVyuqU8uTq69JEZJnxq5lsxTq54017Sj1jy5OLn2lGMN25J5avSpkWuqOZdLrr0kRqlt6ucgQIDAJAGbiUkyzhMYiUD6oaT7g0n7dV97opnWp93WMPbFaffrazfPPue2U86k8W4/dm278boxm7Htft0YTZ/2Y7dPe3zTL3euG6MZ137s9unG7LY3Y9v9un3abe3+7fPt56lPN0Z7XPt5e1z7eWmftZqnyccjAQIEViLgnomVaOlLgACBgQj0Xfc6kNKUQYAAAQKrJND32eGbiVXCFpYAAQIECBAgQIDA0AVsJoa+wuojQIAAAQIECBAgsEoCNhOrBCssgfUqkLtBtO+a7m4tNfqUxMjlmvLKxcm1l8Qo6VMj15J5atWT5pp21JonFyfXnnKsYVsyT40+NXJNNedyybWXxCi1Tf0cBAgQmCTgnolJMs4TIEBgwAJ9170OuFylESBAgEAFgb7PDt9MVIAVggABAgQIECBAgMAYBWwmxrjqaiZAgAABAgQIECBQQcBmogKiEATmSaB7TXe69rp9/XXudao116fbPuuYlOt6za1bYy7XWQ268+ReN/Okx+boG9O0NY+pT/voG9PXZy3GeM/u/2s0mefWp9s+aUzXtr2enhMgQKBIYLl1RETrlacECAxRYHFxcWpZW7dundqeGmv0KYmRy7Ukl5J5avSpketa1pP7/b6GSa16atiuVT01cq3lVlJzSb4pHwcBAgSSQN9nhxuwi7ZcOhEgQGAdCezZEXd96Qvx0fdcGXfvTeuVcf7Ht8SH3vumeNnhZV84991Et44qlAoBAgQIrEOBvs+Osk+ddViMlAgQIDBKgaXvx80Xvy3e+ad/KxZ3/jR9nRxP7fxMvPr+S+L1F98Sjy6NUkXRBAgQIHCQBGwmDhK8aQkcLIHcNdLd6+L78qzRpyRGLteUWy5Orr0kRkmfGrmWzLP1Ex+Nz177vDjvXe+I0zY8Nw2JQza8Ni7+0PvilGv/dVx99w+zJnsHZf63Vm4l89SwLZmnRp8auaalyeWSay+JkfqU5Jt5q2gmQGDkAoeOvH7lEyBAYK4EFo4+I+5Y/vyEnHfGNx/+YbziFyY0O02AAAECBCoLuGeiMqhwBAgQOBgCSzuujbNPuj3e8dDWuOBlh2VT6LvuNTtIBwIECBAYtUDfZ4fLnEb9llA8AQKDEFj6ftyy+Mm4/4J/GmedmN9IDKJmRRAgQIDAuhBwmdO6WAZJECBAYFaB3fHgdR+JC7/363HDjW+NY/0R0ayQxhEgQIDADAI+dmZAM4TAPAt0b7hMr9vncq9T7bk+3XZj9r1jui6513m33fH+t/9KnP6+++OKf/O+OPPpG7JT3HSkr6Mn/bcvo2f+34xpzpTm1vRPj+tlTDePktyMaa+k5wQIECgXcM9EuZWeBAgQWD8CS7vi3k99IH7t44fGFXd9Mi44+YgV5dZ33euKAuhMgAABAqMT6Pvs8M3E6N4GCiZAYN4FlnZ9LS5/48Y4/T8fG5++e+UbiXmvX/4ECBAgsH4EfDOxftZCJgQIEMgL7Lk3tpzza/H+hzbHTf/jqth87L5/ayI/cP8efX+6tH8PrwgQIECAwP4CfZ8dvpnY38grAoMXSNeGTztq/WNYuTi59pRjLtfUJxcn114So6RPjVzz8/wkPv67F8X7794VseuP420vfd4B90Qcc9ld8blt21KoZ3WslVvJPDVsS+ap0adGrmnhcrnk2ktipD4l+T6rN5LBBAgMXsBmYvBLrEACBIYjcFgcfcaFsby8PPG/nYtnxvOHU7BKCBAgQGCdC7jMaZ0vkPQIECCwGgJ9X1WvxjxiEiBAgMBwBPo+O3wzMZz1VQkBAgQIECBAgACBNRWwmVhTbpMROPgCuWuka12LnYuTa09SuVxTn1ycXHtJjJI+NXItmadWPWmuaUeteXJxcu0pxxq2JfPU6FMj11RzLpdce0mMUtvUz0GAAIFJAjYTk2ScJzASgfRDSfcHk/brvvZEM61Pu61h7IvT7tfXbp59zm2nnEnj3X7s2nbjdWM2Y9v9ujGaPu3Hbp/2+KZf7lw3RjOu/djt043ZbW/Gtvt1+7Tb2v3b59vPU59ujPa49vP2uPbz0j5rNU+Tj0cCBAisRMA9EyvR0pcAAQIDEei77nUgpSmDAAECBFZJoO+zwzcTq4QtLAECBAgQIECAAIGhC9hMDH2F1UegI5C7prvvMoxOiP0uceq2Na9zcXLtKU4u19QnFyfXXhKjpE+NXEvmqVVPmmvaUWueXJxce8qxhm3JPDX61Mg11ZzLJddeEqPUNvVzECBAYJKAzcQkGecJECBAgAABAgQIEJgq4J6JqTwaCRAgMEyBvuteh1mpqggQIECglkDfZ4dvJmrpikOAAAECBAgQIEBgZAI2EyNbcOUSIECAAAECBAgQqCVgM1FLUhwCcyLQvUE03cjZvpkz9zqVmevTbZ91TMp1vebWrTGX66wG3Xlyr5t50mNz9I1p2prH1Kd99I3p67MWY7xn9/81msxz69NtnzSma9teT88JECBQJLDcOiKi9cpTAgSGKLC4uDi1rK1bt05tT401+pTEyOVakkvJPDX61Mh1LevJ/X5fw6RWPTVs16qeGrnWciupuSTflI+DAAECSaDvs8MN2EVbLp0IECAwLIG+m+iGVaFqCBAgQKC2QN9nh8ucaiuLR4AAAQIECBAgQGAkAjYTI1loZRJoBHLXSHevi2/GtR9r9CmJkcs15ZSLk2sviVHSp0auJfPUqifNNe2oNU8uTq495VjDtmSeGn1q5JpqzuWSay+JUWqb+jkIECAwScBmYpKM8wQIECBAgAABAgQITBVwz8RUHo0ECBAYpkDfda/DrFRVBAgQIFBLoO+zwzcTtXTFIUCAAAECBAgQIDAyAZuJkS24cgnkrumudS12Lk6uPa1ULtfUJxcn114So6RPjVxL5qlVT5pr2lFrnlycXHvKsYZtyTw1+tTINdWcyyXXXhKj1Db1cxAgQGCSgM3EJBnnCYxEIP1Q0v3BpP26rz3RTOvTbmsY++K0+/W1m2efc9spZ9J4tx+7tt143ZjN2Ha/boymT/ux26c9vumXO9eN0YxrP3b7dGN225ux7X7dPu22dv/2+fbz1Kcboz2u/bw9rv28tM9azdPk45EAAQIrEXDPxEq09CVAgMBABPquex1IacogQIAAgVUS6Pvs8M3EKmELS4AAAQIECBAgQGDoAjYTQ19h9REgQIAAAQIECBBYJQGbiVWCFZbAehXI3SDad013t5YafUpi5HJNeeXi5NpLYpT0qZFryTy16klzTTtqzZOLk2tPOdawLZmnRp8auaaac7nk2ktilNqmfg4CBAhMErCZmCTjPAECBAgQIECAAAECUwXcgD2VRyMBAgSGKdB3E90wK1UVAQIECNQS6Pvs8M1ELV1xCBAgQIAAAQIECIxMwGZiZAuuXAK5a7prXYE//FAAAAmvSURBVIudi5NrTyuVyzX1ycXJtZfEKOlTI9eSeWrVk+aadtSaJxcn155yrGFbMk+NPjVyTTXncsm1l8QotU39HAQIEJgkYDMxScZ5AiMRSD+UdH8wab/ua0800/q02xrGvjjtfn3t5tnn3HbKmTTe7ceubTdeN2Yztt2vG6Pp037s9mmPb/rlznVjNOPaj90+3Zjd9mZsu1+3T7ut3b99vv089enGaI9rP2+Paz8v7bNW8zT5eCRAgMBKBNwzsRItfQkQIDAQgb7rXgdSmjIIECBAYJUE+j47fDOxStjCEiBAgAABAgQIEBi6gM3E0FdYfQQ6Arlruvsuw+iE2O8Sp25b8zoXJ9ee4uRyTX1ycXLtJTFK+tTItWSeWvWkuaYdtebJxcm1pxxr2JbMU6NPjVxTzblccu0lMUptUz8HAQIEJgnYTEyScZ4AAQIECIxM4LTTTotPf/rT8fjjj4+scuUSIDCrgHsmZpUzjgABAnMs0Hfd6xyXI/VKAmkTceONN8ZFF10U11xzTZx77rlx5JFHVoouDAEC8y7Q99nhm4l5X1X5EyBAgACBSgJp43DhhRfGY489tjfiUUcd5ZuKSrbCEBiqgM3EUFdWXQQIECBAYEYBm4oZ4QwjMEIBlzmNcNGVPG6B9BWlgwABAs9GYHl5+dkMN5YAgTkV6LvM6dA5rUXaBAjMKOCHgBnhBjas7wNhYCUqp5LAj3/847jtttviD//wD+P888/fex9FpdDCECAwAAGXOQ1gEZVAgAABAgRqC6RNxM033xxnnHFG7Ny5M26//fa991O4Ibu2tHgE5lvAZmK+10/2BAgQIECgqoBNRFVOwQgMXsBmYvBLrEACBAgQIFAm4JuIMie9CBB4RsA9E89YeEaAAAECBEYvkC5ncinT6N8GAAgUC/jbnIqpdCRAgMBwBNyAPZy1VAkBAgTWSqDvs8NlTmulbx4CBAgQIECAAAECAxOwmRjYgiqHAAECJQL+iuASJX0IECBAICdgM5ET0k6AAAECBAgQIECAQK+AzUQvi5MECBAgQIAAAQIECOQEbCZyQtoJECBAgAABAgQIEOgVsJnoZXGSAAECBAgQIECAAIGcgM1ETkg7AQIECBAgQIAAAQK9AjYTvSxOEiBAYGACS7ti+/WXxRsWFiL9PeELC2fFZdd+Obbv+tnAClUOAQIECKylgM3EWmqbiwABAgdF4Gfx6C0fi3Oui3j3fTvjqeXleGrn78fRf/rBOOeP7ondByUnkxIgQIDAEARsJoawimogQIDANIGl78Udn709Tjnvt+K8jRsi/cZ/yIbXxsUfel+csu3OuG/30rTR2ggQIECAwEQBm4mJNBoIECAwEIE9O+Oh+18Urz7+xXs3Ek1Vhxx9fLw6vhp33Pd4c8ojAQIECBBYkYDNxIq4dCZAgMD8CSz94OH45q5Jee+Mbz78w/DdxCSfeT//V3Hzu058+j6Zt8aW7U9ELO2Kez/5rjhmYSFO3LI9npz3EuVPgMBBFbCZOKj8JidAgMBqCyzFnke+G/ev9jTir1OB42Lz9d+Npx65KS7Y8JW46kt3xNc+9bl44OxrYufycnz3ko1x6DrNXFoECMyHgM3EfKyTLAkQIECAwMwChxz7j+M3z9sYu668Iv79L7073n3yETPHMpAAAQJtAZuJtobnBAgQGJzAIXH4S0+MUwZXl4JWJnBknHrWptgQL4/XvvIl+907s7I4ehMgQGB/AZuJ/T28IkCAwOAE9t5ovWFSWccccGP2pJ7Oz7PAk/GjJ9JfAnxPfPGeh90jM89LKXcC60zAZmKdLYh0CBAgUF3g8GPipFOeOOBG6303Zp8QJ7308OpTCri+BJYe/XJ89CvPi994fcT9D+2MPesrPdkQIDDHAjYTc7x4UidAgECRwCEnxFm//ea4/8Mfj+se3PdP1C3t+m/xqY99Mu6/9L3x6y87rCiMTnMqsPT9uOWj34hNH/mD+O3zXhe70r8t8uifxycv/0/xqL/Ga04XVdoE1o+AzcT6WQuZECBAYJUEnhvHbvqduOGKF8e2l79w718T+pxj3hvfPOVfxa2/+7pwK+4qsR/ssE9ujy0nLsTCGz8b8Xsfis3HHh7HvOofxOt3XRcfvXpnvOXyc+JYPwUc7FUyP4G5F1hYXl5ebqpYWFiI1svmtEcCBAgQIECAAAECBEYu0LdX8GcSI39TKJ8AAQIECBAgQIDArAI2E7PKGUeAAAECBAgQIEBg5AI2EyN/AyifAAECBAgQIECAwKwCNhOzyhlHgAABAgQIECBAYOQCNhMjfwMonwABAgQIECBAgMCsAjYTs8oZR4AAAQIECBAgQGDkAjYTI38DKJ8AAQIECBAgQIDArAI2E7PKGUeAAAECBAgQIEBg5AI2EyN/AyifAAECBAgQIECAwKwCNhOzyhlHgAABAgQIECBAYOQCNhMjfwMonwABAgQIECBAgMCsAjYTs8oZR4AAAQIECBAgQGDkAjYTI38DKJ8AAQIECBAgQIDArAI2E7PKGUeAAAECBAgQIEBg5AI2EyN/AyifAAECBAgQIECAwKwCNhOzyhlHgAABAgQIECBAYOQCNhMjfwMonwABAgQIECBAgMCsAjYTs8oZR4AAAQIECBAgQGDkAjYTI38DKJ8AAQIECBAgQIDArAI2E7PKGUeAAAECBAgQIEBg5AI2EyN/AyifAAECBAgQIECAwKwCNhOzyhlHgAABAgQIECBAYOQCNhMjfwMonwABAgQIECBAgMCsAjYTs8oZR4AAAQIECBAgQGDkAjYTI38DKJ8AAQIECBAgQIDArAI2E7PKGUeAAAECBAgQIEBg5AI2EyN/AyifAAECBAgQIECAwKwCNhOzyhlHgAABAgQIECBAYOQCNhMjfwMonwABAgQIECBAgMCsAjYTs8oZR4AAAQIECBAgQGDkAjYTI38DKJ8AAQIECBAgQIDArAI2E7PKGUeAAAECBAgQIEBg5AI2EyN/AyifAAECBAgQIECAwKwCNhOzyhlHgAABAgQIECBAYOQCNhMjfwMonwABAgQIECBAgMCsAjYTs8oZR4AAAQIECBAgQGDkAjYTI38DKJ8AAQIECBAgQIDArAI2E7PKGUeAAAECBAgQIEBg5AI2EyN/AyifAAECBAgQIECAwKwCNhOzyhlHgAABAgQIECBAYOQCC8vLy8vJYGFhYeQUyidAgAABAgQIECBAICfw9PZhb7dDm87tk805jwQIECBAgAABAgQIEJgk4DKnSTLOEyBAgAABAgQIECAwVcBmYiqPRgIECBAgQIAAAQIEJgn8f0r0vHdn3YuIAAAAAElFTkSuQmCC"></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>Monochromatic light from a single source is incident on two thin, parallel slits.</p>
<p><img src="images/Schermafbeelding_2018-08-14_om_07.10.48.png" alt="M18/4/PHYSI/HP2/ENG/TZ2/05.b_01"></p>
<p>The following data are available.</p>
<p>\[\begin{array}{*{20}{l}} {{\text{Slit separation}}}&{ = 0.12{\text{ mm}}} \\ {{\text{Wavelength}}}&{ = 680{\text{ nm}}} \\ {{\text{Distance to screen}}}&{ = 3.5{\text{ m}}} \end{array}\]</p>
<p>The intensity <em>I </em>of light at the screen from each slit separately is <em>I</em><sub>0</sub>. Sketch, on the axes, a graph to show the variation with distance <em>x </em>on the screen of the intensity of light on the screen for this arrangement.</p>
<p><img src="data:image/png;base64,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"></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>The slit separation is increased. Outline <strong>one </strong>change observed on the screen.</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>horizontal straight line through <em>I</em> = 2</p>
<p> </p>
<p><img src="images/Schermafbeelding_2018-08-14_om_07.07.00.png" alt="M18/4/PHYSI/HP2/ENG/TZ2/05.a"></p>
<p><em>Accept a curve that falls from I = 2 as distance increases from centre but not if it falls to zero.</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><strong>«</strong>standard two slit pattern<strong>»</strong></p>
<p>general shape with a maximum at <em>x </em>= 0</p>
<p>maxima at 4<em>I</em><sub>0</sub></p>
<p>maxima separated by <strong>«</strong><span class="Apple-converted-space">\(\frac{{D\lambda }}{s}\) =</span><strong>»</strong> 2.0 cm</p>
<p> </p>
<p><em>Accept single slit modulated pattern provided central maximum is at 4. ie height of peaks decrease as they go away from central maximum. Peaks must be of the same width</em></p>
<p><em><img src="images/Schermafbeelding_2018-08-14_om_07.15.48.png" alt="M18/4/PHYSI/HP2/ENG/TZ2/05.b/M"></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>fringe width/separation decreases</p>
<p><strong><em>OR</em></strong></p>
<p>more maxima seen</p>
<p><em><strong>[1 mark]</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.</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 buoy, floating in a vertical tube, generates energy from the movement of water waves on the surface of the sea. When the buoy moves up, a cable turns a generator on the sea bed producing power. When the buoy moves down, the cable is wound in by a mechanism in the generator and no power is produced.</p>
<p style="text-align: center;"><img 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8oMFXGC/v3vf4/8/Hx1tooIG5n5JTNZoqKiID5j4uDpvXv2e5RkjENAXAZKHL51T7A2niEgvd3acg5yH3I5B89wZS6eIeD3PTcaRm0tKpn2KMH/uPkGAQlGNnXqVFUoGKVG4mQsvjgNrS0lsUe++OILtVfn0KFDqmNydHS02jsVHh4O8Y9o/SbiZjJCd46ANScRIX7/GtR6or6eg/xf27RpkxoAcO7cuVzOwdcbXOf1o7hxaiCZBfDCCy+A66w4QTHwrgTxE4EQERGhOkAaYVVwwS3O7sePH1fXw2pI4Dg3i6vY2bt3r+r4KcHYWi52KG6cGXPffQKyor0s4yCbzLTyjNh2v3ymJAEhwPcxp/tAInSKsBGBw+mOTmAMvjtq1Cj8/e9/N0wtpFdm+PDhbtsrDshy78oQq4TRr6iowIQJE9TozDKzRUSehNSXXkn54WneDMF/oujgG0gwB6j5mBPewMGS8mrbHCi3pMIcEIkUy2Uney/DkhKJAHMqLOXamFY5SiwZSBlqVvMJCIhDSoYFJXY5fxMXsmfCXCd9dXblFqSYXfN3Koq7uiMga1NpyzlIpGMu56C7JvILgyhuXJpZfiTkR0AEjjgbczM+gV/96lf46KOPDFORDz74ACNGjGixveILIT8w4g8h03edxc769evRqVMnTJs2DTIU26TYyZ2HmTs6YkbhDSjKt8gbfQnLQidgZeG1ZthXjuKMFxA98Qh6LC9EpaKgsuwl9DgyC6GjVqPQfht6Do/HJOzD9kPnockhwIHygkPIRCziIo23hEYzAPlkUi7n4JPNaphKUdzU01TicyPhx2UWFYP91QPIYIfkISvTreVP75vEuvnxj3/sUb+v+sSO+EQEBQWps7I0sVNvBFrTDKxbNg1Rpo4AghESPxsLky9i1a4T0PpvmmRaXoA/LcjHyHWvYlaUSe0uDjQNwgtrVyPZugKpu0rgCH4Y42bfj4wNh3GmRt1cRcGBXGDScEQG81HVJGcdJpB7T5zgZc0q2cRZXl4am9d7qMOK0STdE+ATo4Emkq5+mR4um8TD8d6slAYM4GGPEpg/f74aNM+jmXohM/GXmTFjhhdyrs1SfnDED0J+dMQnQvx6ROzcc889tYm0vYiHEa4KG+1AEHqF9oUt8xAKaoactHP1fVb3vtgewKDwe+uOgweZERoBnLaWwY678eNfxyM2dz+Onvm+KqPyUziQCUyKewjB9WXNY4YhIPecDJtKmAPZOLPKME1nWEMpbhppOvkPmZqaikcffVT9IZDZANyMQ0BzxhWHW5lSXVhYqOveG+m1Eadn6WmSTbO/LYiL2JGhLM9vN3Hx3BnYGsnYdvIcLjqAwH7DMD3xCyxI/xDl2pBU6FMYF8UhqUbwGeqUvDSKyNm2bRu0NavEDYAbCXiaAMWNG0TFd0EcjcU5jv8R3QCmkyTS9S1+JdIVPnjwYHWZA+kZ0eMm0783b97sg35eHdGjTz+YGoFuGtAHPeRJFNgbw58aBai9QpdRcOAIIiaNxI+D+JhqBJ8hT4mY1tasEpEjQSo5icOQTalbo/nUcLNpNEdj+bGkH46b0NoxmfiPaIEZpStchmCeeuopVejIw1Rv21//+lc1wqvups2ePoNSdUaTRsyOUutZmFQ/mNsQ1KsfIrRT9X4GIjhyOCaZvsCxon84OQsDsJfBehqICDUjSL02EMFRYzA7NBfbd+7G/2b2xPjBfeoOZdVbBg8alYAmckToyMw+ihyjtqT+7Ka4aUabiKPxn//8Z/WKJ598kn44zWDXVkll9o88ICUsvHR9y7CidIVrmzxE3333XV0NT4nNp06dUm3V7NTNp20zFi/dUz1lW2Y9pWBi5iNY9/xg1Q8msN/PMT62DJlb/hfFqggqR0n2KixOK6ytQnAknl4ShZyZL2F1vq1K4NiLkJE0C2mhc7FsXEitgAl6CL+e1BcZz87EqogRGNzvjtp8uOezBETkaNPHKXJ8tpnbtGIUN83Erfnh/Pa3v0Xv3r05TNVMft5KLv5QEk9DgoeJc6xMgQ4NDb2lOBGob775JtauXVvj3HhLojY8IH4277zzjroquNxbzpvEp2n3LfZ5JMV8haUhHRAQ0AUxR8KxJW8Z4nvK7CkZSgrBuLV/wmysxAOdJc1YpF+PxcI/jnUyPRhhiW8gb9sQXEwZiA4BAQjo/HtYh6yGdd8sDKwz7HQH+sX9XySaTIgd/3P04xPKiaPv70oPOUWO77dzW9SQEYpbQVlmUL3yyiv4wQ9+gBdffLFOD0ErsuWlzSAgzsKvv/468vLy1DaQ4Sdt0yIUa9+dP99//31Mnz4dc+bMUYeqnM+11b5MTReRtWHDBvziF7+4pdjG7L8lsQ8dcJRkYGT0CUz/ZFWtiPKh+rEq7hMQPxzpyZGeHQlM6R2nd/ftYUrjEKC4aWVbaSvjSuwGLtvQSpjNuFxEjaycLT5QIixHjhx5y4rETYmD9hQ40mMzb948Nf5HfcJGUDRlfzNwGSep4wIsC6ZjcdeXsG9OVLUvjnHMp6XeIaCJHMmd61Z5h7Gv5Upx46EW1YZFZMXm5557jr04HuLqmo0mapKSktReD3mbc/apcU7vjjgQgSOOx4sWLWqzt8K//e1vOHz4sDqk2ZgDsTv2O9fX2PvVa1lNPYro5HXYsHAMQuoMVxm7drTeMwQocjzD0R9yobjxYCs79+IsWbIEsbGxHszdv7NqjqjRSLkrDmR48emnn1Yj9sqwlrcW2JRhKJmK3r17dzVAZEOirLn2a+n5SQL+QoAix19auuX1pLhpObsGr5ReHBknlk16BMSJlVvLCLRE1LSkJBGm27dvV9dcSklJwcMPP4yOHaudZluSodM1169fh6wX9eGHH6r3w9ixzs62Tgm5SwIk0CwCMtNQhqc1n7v6hqeblSET+wwBzkXwQlPKUIPM1pH/aNITwLVUmg9ZRI1wkwB8skmsGols2lRvR/NLqrpCZio988wzajlSxvjx49UZTK1Zj+rLL79UZ0JJEMgHHngAMgRGYdPSFuJ1JHArAXEwdg4GKEPM4ocnzw9u/k2APTdebn/pEUhPT2/U8dXLJhgqe+n12rRpU82bWHR0tNcETWNg5OEo0ah37dqF8+fPq0twmM1mdf2lbt263dKrI70z8vf111+r8Y9OnDih9tjJ6vJSB9dp3o2VzXMkQAItI+Da0yuuAY35tbWsFF7VIAF7MbIXz8ITabkAxiLduhWJIe0Tq4ripsFW8uwJ8euQhTil+5Szqm5lK2PosvzApUuXID0deupelrY7ffq0Oqx08eJFVXy51iAiIgI///nP0bdvX9UxOTIysl1Ematd/E4C/khAXipzcnLUl0rxcZsyZYo61MyXDG/eDdWTAhbcgywdhHGguPFmW9eTt9YzIZ8ypVF8O/z1P5y8ZYnYkzg1/fv3Vx9A2qKR9aBr9iF3HYqbnXH1BUbPv6X15nUkYCQC8uIkjvzyrJGh7ccff5wvHl5pQE3c9MPh4iWICW5fr5f2Ld0rgPWdqXSRyhix/Ml/OBkjluEPedPwl02cAGV9LvGnEZ8WWSZBfJQ8KWz8hSXrSQIk0DgBea7I83b//v1qwhEjRqgTB0T0tP1z1wF7iQUZKXFqHCt5QQoYmoIMSwnsTtVw2PKxpSaNGUNTMmApKXdKAThshchemQCz5KH+xSElw1K9VEqdpE5fylFiyUDKUHP1Na55X4YlJRIB5lRYyh2115VbkGIOgDnFgnI4UG5JhTkgDikbX0eCWSv/ToRO3Q3YXsOwLh2q07pr503YCjNr7TInYOXBukzgsKFwSwqGavWth1utwahd0sX5IPe9T0ATOSJs5Ae+U6dOqgOtDIH44ia9NOLoJ+s+yRIJMmxTUVGhvklxTNwXW5x1IgF9EZCJAjLknZ+fr/YSHzlypOa5Ky9cbbLZC/D29GQcCf0DrisKFOUGyhZ2QuawBdhV8r1qguNCNqYNnApLj5dQVilpivFW6DFMjE5F9oWbVWba87FqwnTs7fAsCtU0CirL5qBD5rOY/nZBHaFUWy8H7IXpmD7xGELfKoYi5Vd+goUddmJY0jsocdIytdc0tpeLzKMmzCupRGXZGZy5/i9Y08cCpnk4/G0lypbHINgtO2/iQvZsDIzcBiRZcF2pxHVLDE4nPIFZ2V9VrUXn+ArZ02IxynIflpfdgCJp3noQRyY6pXE1VeGmCwJXrlxRsrKylNGjR6t/Bw4cUOSYkTexX+rxzDPPKD/5yU+UtWvXKufPn2+zKgHy/9d7m9Hz9x4Z5kwCxiBQ3zPq008/9ZrxldZ0JRZjlXTrdw2UcUk5nDxQQWy6Yq10TlJ13JR8WPlWqVS+PTxPMZnmKYe/dU70nWJNH1vPtVo+TZ2XdNXlu+b97WEl2QSlTvkYqCQfvqRlrihKdf4117ppZ+UXSnqsqTpvLTtnDtX53MKtofyr8rjNVezwe/sQkLcKmTYuf/IWcfToUcTFxWHp0qXq0JVMJfbWNGhP1lh6aAoKCtRVuT/77DP1TWnGjBltFv3Xk3VhXiRAAr5NQJ6pMqNK/rRn1/r16yHPLullFrcBTz57A83heCx6ARakv4vwuDtg7/ULxIQE10IuP4UDmYUwTeqDHnWcRoLQK7QvbAsOoWB+NGJilqGsTIa43kf2IZn27sC14xsxVWYpxY6oza/OXkeY+/8M0VPfRPqe/4M4VKJX7C+8GAk8EMFu2Ok48yF25gIR481Oy610Q8zyAiiq/ZdhOZALmykWfXo4xx4LRFCvfoiwvYkDBbMRE9OtTm3r4Ktzhl/ajYDEbhDHNxm2kf9c0n2qjRPLMJY4I+tlkzFrEWPakJPYKfaJoJHuX6lHey12J92uRt6Mbr+R2dN2/yOgCR3x/xP/HOdnrwgdecaJn46IoBZvQVGYsy8P2376DbIWP4thoV0QIL4rLr4ytrRh6KL5lqif1f4sWsH2ImQk9Efn0AlYe/wKxMPk7rg0FMiw0OkzKLXXN8YUiKCBs7DPuhI/vfYuFj8xFKGdO9Tr86MV0+rPFtnZQKnVvjxV/kVVfj4dQqdCJp3Xt7Hnpj4qOjkms6jEGU7+UlNTVRFx6tQpNfqxxIKR2VaPPPKIOv34vvvua5OeHfmPLbFcxA6JuutshwTdYzRmndw8NIMESKDFBEToOD975YWtqKhIfdGU2FWySfwqef4GBQWhT58+kPhXbvWuB4UgJl7+pmG5OMnu2Y41M4ch2noYxfMlZxNi0y3ISQxrwClWZiW9iqkHhyCrdBXie2q9GeIMfBZAv0bqHYigkGjEy1/ictUpec/2NZg5bAKsh/djeUwjlzb71Pco2dVSO+spLDYd1pxEhLjZJUNxUw9DvR6SHhD5E6c4iZljtVpx9uzZmvDjYrf8hxOhIwHnJOaKOCrLX3NEh/TGSOA62eQ/tN1uVz9lKqVWhvynFnElbzncSIAESMCXCcikB23ig7xoai958vwV4XPo0CH1U2bAaptEPJeI5I2uMRhowsD4KUg4/hdsPXkOF4N+jbhJZmQe+xy2KWHoWfNDfg2FKyci8mA8rDm/Rqn1LBAxAuEmTdjIyNS/cO3yDa14tz4DTQMR/2wCjq+aiJPnLsOBPurwl1sXN5nI7padgf1+jvGxwAJrGewIQ9UgnbaQLpBu3YzfxMXClHkCRbaJCKkRc+IgvRqjIj/CpPqCBWruO/w0PoGKigrFarWqTrzinLx06VJl7ty5qoOyOL86/8nxpKQkZcyYMWoacfh1PS9ptmzZojo6S76SP7daAt52KK4tiXskQAJGIyCTJ1yfmVUOxbFKctYXynW1QpXKdWuWkhw9UEnMOqeIe3BlaZaSaApXJq86qpSp/sLfKtaseUo0fqWsKPhGUlQ5FCNWmXe4VL1GqSxTjq+arJjkOV/j0OtKrNrhN3qekmX9tvpkdd6mGUpW6Y0qi1Sn53BlcvrpKhuvf6FkJceqvw8tcihu0s4bStnhl5Vop3SVZbnKvOgfKdErjlfZUHlOyRaOuoIAAB5ZSURBVEoMV0yT1ynHy8ROjZtTGpfqenc6iUth/KoPApoIEsGSn5+vCiLX/4T6sLR1VnhbfBg9/9bR5dUkQALNJ3BDKSvIUlZMDq99mTRNVlZkFVQLGclRfrgPK+nVgkKeM6bJK5SsgrIqIaMmKVMKNicr0dpLq+Sx+7ByPCu5nllUTlZWlikFWSuUyabal91b8la+Vay5q2rTRCcrm4/nKn+smdGkiaumZktJVdy1U7hsVZKjTdVcYpXkzcedmCiKct2qHE53qXMdbk71VBSFEYqb7FpjAqMSMHoEYW/bb9R2pd0kQAIk0BSBmhG9phLyPAmQAAmQAAmQAAkYgQDFjRFaiTaSAAmQAAmQAAm4TYDixm1UTEgCJEACJEACJGAEAhQ3Rmgl2tgiAkYPgmd0+1vUaLyIBEiABDxAgOLGAxCZBQmQAAmQAAmQgH4IUNzopy1oCQmQAAmQAAmQgAcIUNx4ACKzIAESIAESIAES0A8Bihv9tAUt8TABiRNj5M3o9huZPW0nARIwNgGKG2O3H60nARIgARIgARJwIUBx4wKEX0mABEiABEiABIxNgOLG2O1H60mABEiABEiABFwIUNy4AOFXEiABEiABEiABYxOguDF2+9H6RggYPQie0e1vpGl4igRIgAS8SoDixqt4mTkJkAAJkAAJkEBbE6C4aWviLI8ESIAESIAESMCrBChuvIqXmZMACZAACZAACbQ1AYqbtibO8tqMgNGD4Bnd/jZraBZEAiRAAi4EKG5cgPArCZAACZAACZCAsQlQ3Bi7/Wg9CZAACZAACZCACwGKGxcg/EoCJEACJEACJGBsAhQ3xm4/Wk8CJEACJEACJOBCgOLGBQi/+g4BowfBM7r9vnMnsSYkQAJGI0BxY7QWo70kQAIkQAIkQAKNEqC4aRQPT5JA/QS+++479cTVq1frT8CjJEACJEAC7UaA4qbd0LNgoxEQIZObm4vk5GR06tRJNb+iosJo1aC9JEACJODzBAIUDuz7fCP7awUlCF5rb+/S0lJYLBZ88MEH+OyzzzBmzBgMGTIEDz/8sCpwWpt/Y23jCfsby5/nSIAESMBXCVDc+GrLsl5oqTg4efIkjh49ikOHDqkUhw8fjsGDB2PAgAF1qLY0/zqZNPLF2/k3UjRPkQAJkIChCVDcGLr5aHxjBNwVB+I/c+LECRw5cgR79uxB//798eijjyImJga9evVqsAh3828wgyZOeDv/JornaRIgARIwLAGKG8M2HQ1vikBj4kD8ZwoKCtS/+fPnY+7cuZAemsjISHTt2rWprNXzjeXvVgZNJPJ2/k0Uz9MkQAIkYFgCtxnWchpOAs0kIP4z+fn5yMnJqeM/I07Bd955ZzNzY3ISIAESIAG9EmDPjV5bhnZ5hID4z5w6dQrZ2dkoKyvD5MmT6/WfaUlh7FlpCTVeQwIkQALeJ0Bx433GhizBUZKBkaH7Md66FYkhd9RfB0cxMkY+jp3j30VOYhj0EFdA85/59NNPsXXrVpjNZsTHxzfpP1N/BRs/SnHTOB+eJQESIIH2IsBhqfYiz3I9RsDVf+aZZ57B2LFjsX//frf9ZzxmDDMiARIgARJodwIUN+3eBDSgJQSc/Wc2bdqEpUuXqvFn6D/TEpq8hgRIgAR8i4AeRhJ8i6guanMTtsJMpAw1q7FeAswJWHmwBPYa2+R8NlYmRFSdDwhAwNAUZFic00ji/4erRe/Vprsln5oMa3ccNhRuScFQybPBfGuTN2dP/GdkqEkC6clQk/jQzJgxQw3Ul5qaikGDBtVxDJbyjbwZ3X4js6ftJEACxiZAcWPs9qvH+pu4kD0bAyO3AUkWXFcqcd0Sg9MJT2BW9ldwwAF74XpMGLUXHWbkolJRoCg3ULawEzKHzcbbhdec8tyDuTO1dJW4njcal5b9EqNW5jsJJafkjq+QPS0Woyz3YXnZDShS9lsP4shErWyntG7siv/MsWPHsG7dOkRFReHll19Wr5LvMutp5syZtwTWcyNbJiEBEiABEvBxAhQ3vtbAjrM4sCEbSE7B/PgwBCEQQWG/QsKk25Gx4TDOOK4if9d2WCclYGqUqdoJuCNM0eMxKbYYBz+7CEcNk3AkrnsVs9R0gQgKGYP5C8fBumoP8strU1Uld6A8bwNmZjyAJfOnIsrUEVDLnoS120YhZ+YG5N1yTU1BNTviPyOCZtmyZeryBps3b0ZISIjqPyMB9mS2U2OB9Woy4g4JkAAJkIDfEqDPjY81vePMh9iZC0SMNyOopm7dELO8AEr195DlBShDOUose3HoWiWAKzi+dhHS8oDY8TUXAXgAg8LvdZoFFYigXv0QYXsTBwpmIybaOe1VFBzIhc0Uiz49RNhom8s1Md20EzWf4j/z+eefY/fu3aD/TA0W7pAACZAACbSQAHtuWgjOuJc5YC/eggRzF4QOexPHr0kPzD2Ieysb6bHAaWtZ/UNO7lbY9hqGdelQ68sTEIAOoVOR28D14kMj/jMlJSWN+s80cDkPkwAJkAAJkMAtBNhzcwsSHz/gKMGuWfNwcGQWSjfGo6cmb8stSDltA+quDdl8GLHpsOYkIkTLt4kcZJhJ/ryxeXPFbm/Y65qn0e13rQ+/kwAJkEBbEXDzJ6itzGE5rSUQ2O/nGH9LD8z3KMkYh4CAccgoOAPraSBi0IMwObW+4/o1XL6l8LOwltbOsYI4I5eewWlTLOIiXddf6orIuFiYTp9Ake2mU07iwPwGhkrZJd87HecuCZAACZAACXiHgNPPm3cKYK5tTCCwL0amTEdo2nK8brmgOgc7bB9gc+YJRK+Yg3FRjyBukhm5mTuRVy1CHLZjWJ26CBk2V1sLkbZ4FbJLyqEKm+JMJE3ch5HrpiM62PXWCURw9HSsG3kEM1M3Il/N2wF7yR4snrMekLIbinTsWiy/kwAJkAAJkEArCLj+QrUiK16qDwIdYYqZhx0FE1G5+CfoID4v5pWonLIDO2ZHIQjdEP27N7E56kMMM9+u+sb0evEj9E54E1nJA12qMAYrkiJxdukgBAR0QOcYCyK2ZGF1/P1OTsZOlwTej/jVWdg25GukqHl3QOfoveietLO6bKe03NU/AXsJDq5cii3N6nGr7iWMy0CJ64Q6/deYFpIACfgIAa4t5SMNyWrcSsDbaz8ZPf9biTkfcaDcsgBhw85gSWPrizlfou6LuJmM0J0jmuV7dUs2PEACJEACrSDAnptWwOOlJEACJEACJEAC+iNAcaO/NqFFJNDOBLRem9dgw25MDb0T5hQLymVGnTmgar/GQkmbCnNAJFIszi7p/0TRwTeQYK5ahsOc8AYOqr5bNRcCXlyqw6kU7pIACfghAYobP2x0VpkEGicQiOCYJSg+PA8mjEW69TuULY9BcOMX1T2bOw8zd3TEjEJZhuNb5I2+hGWhE7BSW97Dw0t11C2c30iABPydAMWNv98BrD8JeIOAaQbWLZtWvQxHMELiZ2Nh8kWs2nUC5fDMUh3eMJt5kgAJ+AYBihvfaEfWoh4CRg+CZ2j7Ix5GuLq+mNYwQegV2he2zEMoKL9cvVRHvwaW6sjFgYKr2oX8JAESIIFmE2CE4mYj4wUkYHwCsuL6+fPncenSJfzjH/9AWVkZgoODvRYtul5i6lIdr9VzamCrA2XXkykPkQAJ+BEBihs/amxW1b8IyHpdFRUVOHv2LOx2O4qKivDNN9+oi5MKiblz5+Luu+9GWFiYuvL6gw8+2LaAmrlUR9sax9JIgASMTIDixsitR9v9moCspi7i5dy5c6p4+fjjj1UeK1asUD+feeYZ/OAHP0B4eDiCgoIg32XbuHGj+tnsf4LMCI0wuXfZ6TMotTsQUhPJ2o5S61mYJj2HyOBugCzVkSlLdUxESE9tFXlZqmM1RkV+hEnNiq3jnklMRQIk4D8EKG78p639rqbeDrLnbaBiv9VqrRk6Ki4uxrVr15CXl4dPPvkEo0ePVntc7rvvPpjNZkyYMAGdOnXCK6+8gjvvvLOV5gUiqFc/ROCMuvRGhb0CdwT1weDxg2FbsB3vPB2JxLAgdXmNpYs3wwZz3fJsm7F4aSR6LRyDkCA7ijNSMDHzEaz7ZDCCJb61ulTH4+pSHb1eF8fj25yW6tjBpTrq0uQ3EiCBZhKguGkmMCYngbYksGnTppqho8jISPTp0wcvvvgiunZ1XbjU81YF9otDyrydGBZ6F6ZqQ0jjliD36lIkPNAFU2FCdPJyLF84Hyfz/lTXgNjnkRTzFZaGdMBWG2CavApb8qbiMa2Xpnqpjrt3patLdeTJ1abJWLFuJ3aMGYigurnxGwmQAAk0iwCXX2gWLiY2EgFv99wYPX8jtSVtJQESIIHmEOBU8ObQYloSIAESIAESIAHdE6C40X0T0UASIAESIAESIIHmEKC4aQ4tpjUUAUMHwQNgdPsNdbPQWBIgAZ8iQHHjU83JypAACZAACZAACVDc8B4gARIgARIgARLwKQIUNz7VnKwMCZAACZAACZAAxQ3vAZ8lIFO1jbwZ3X4js6ftJEACxiZAcWPs9qP1JEACJEACJEACLgQoblyA8CsJkAAJkAAJkICxCVDcGLv9aD0JkAAJkAAJkIALAYobFyD8SgIkQAIkQAIkYGwCFDfGbj9a3wgBowfBM7r9jTQNT5EACZCAVwlQ3HgVLzMnARIgARIgARJoawIUN21NnOWRAAmQAAmQAAl4lQDFjVfxMvP2JGD0ODFGt789255lkwAJ+DcBihv/bn/WngRIgARIgAR8jgDFjc81KStEAiRAAiRAAv5NgOLGv9uftScBEiABEiABnyNAceNzTcoKkQAJkAAJkIB/E6C48e/2Z+1JgARIgARIwOcIUNz4XJOyQhoBowfBM7r9WjvwkwRIgATamgDFTVsTZ3kkQAIkQAIkQAJeJUBx41W8zJwESIAESIAESKCtCVDctDVxltdmBIweBM/o9rdZQ7MgEiABEnAhQHHjAoRfSYAESIAESIAEjE2A4sbY7UfrSYAESIAESIAEXAhQ3LgA4VcSIAESIAESIAFjE6C4MXb70XoSIAESIAESIAEXAhQ3LkD4lQRIgARIgARIwNgEKG6M3X60vhECRg+CZ3T7G2madjpVjpKDa5C6pRiOdrKAxZIACbQNAYqbtuHMUkiABNqbQHkB0hNeR2FlexvC8kmABLxNgOLG24SZPwmQAAmQAAmQQJsSoLhpU9wsrC0JGD0IXvvb74C95ABWJkRAbAkwJ2DlOxuRMtQMc4oF5VpjOmwo3JKCoZJG/oamIMNSArt2vtyCFLMZcRsPIt8pnTnhDRwsqclFTe2w5WNLSlxVPgFmDE3JgKUmjQPlllSYA+KQsvF1JJilvEikWC4DuAlbYXatra52iA1hw5BmsyF36gPoYE6FpVwGp6SOFmS0qEytgvwkARLQGwGKG721CO0hAZ0QcFzYg1nRc3B6yJ9xXVGglMxF131rkJZnq7XQ8RWyp8VilOU+LC+7AUWpxPW3HsSRiU9gVvZXTr4tNuQ+uxJZnZ/GPsmrshTbeu5H7PR0FNqrPGAcF7IxbeBUWHq8hLJKBYpSjLdCj2FidCqyL9ysLRO5yDxqwrySSlSW7cSzUXfDXrgeE0btRYcZuaiU/JUbKFvYCZnDZuPtwmtAcAyWFx9GssmE2PQvUFm2DDHBgL04EzOiZ+GIVmZlIZb3OIKJoROwUq6r2VzL7FpzhjskQAL6I3Cb/kyiRSTgeQKlpaX4/PPPYbfX9Cd4pJDs7GyP5KNlEhQUhMjISHTt2t4/npeRt2YZcka+gk+mhCNIDAwKR+La1bAeHIZM1WAHyvM2YGbGA1hinYooU0f1aFDYJKzdZkXYxA3IG74EMdWVMyWnYH58WFVegSZEDh8I02sf4bOy/8LAELtaXkbEC7DOGgST+toVjLDE5dhmHYGJa45i+PLo6pwGYlLCrxAWFAgE/Qg/wmVYdm2HdVIapkaZUPXG1hGm6PGYFJuJnZ9dxOyBd1cfr85C/biK/D+txUGpY02ZJkS98AdsuzgCw1Kz8eucKeihpnUt0zkf7pMACeiNAMWN3lqE9niUwHfffYdFixbhL3/5C3r37o1OnTp5LP/hw4fjrbfe8lh+klFFRQVsNhteeOEFj+bb7MzKT+FAZhkiljxYLTSqcwgyIzTCVP3lKgoO5MJmikWfHlXCpupEIIJ69UOE7U0cKJiNmMj6Sq9Og1xYS+1ADymvEKZJfdCjTn9yEHqF9oVtwSEUzP8F6s0K3RCzvABlKEeJZS8OXROP4Ss4vnYR0vKA2PH1lQ+goTqiqkxknkGp3VEtbhrIg4dJgAR0SYDiRpfNQqM8ReC///u/8de//hXDhg3DbbcZ43b/0Y9+hI0bNyI4ONhTGLybj+01DOvyWj1lDMSAeo42dsiWNgxd0upJYZpXz0HtkKNqeClmCrbaYpGcPg0/vfsexL2VjdBZ8VhgLYMdYXCl6bh4DiedRti03Go+bWdw7uLNBgRVTSrukAAJ6JCAMZ72OgRHk4xBIDU1FVOmTDGMsBGqt99+O8LCwvDVV1+1CWQZssvPz1fLio+Pb36Zsemw5iQipE6Pi1M2dX2GnU647oo/jAU5iWH1DCFJWketE7PzpY4S7Jo1DwdHZqF0Yzx6anaIE/FpGxpSWIE9+mCACTjpnJfzvqlfVY9UqfNB7pMACRiBgPYYMIKttJEEmkXAarXiscceM5Sw0SrYpUsXlJe7rQq0y9z6vHr1Ko4dO4Zly5YhKioKM2fORFlZGfr27Vt7ffBDiJtkxmm116P2MOxlsIpgULeuiIyLhen0CRTZnB1+HbAXvoGhAeOQUfK908WN7GrlHfsctjoR9q6hcOXjCIjLQEmd4055qTYBEYPqDqE5rl+DzKNqcGuwTDtKrWeBiH7oJX493EiABAxHgP9zDddkNJgEmkdA/I5OnjyJrVu3YsyYMRgxYgSOHDmiOi7v378fe/bsUQXOgAHOg0jdEP18KkZmLsfS7OKqad32YmQvXY40TdsgEMHR07Fu5BHMTN2IfFXgyNTqPVg8Zz2wYg7GhdzhprHV5eUsQurqY9UCpxwl2WmYMxdYsSy+4Z6hapGSm7kTedUiy2E7htWpi5BRY6s4RIu/ULXPVYUddkdXRD2dhMdcyizOSMHEtB6Nl+lmrZiMBEigfQhQ3LQPd5ZKAl4lUFJSApnJlZycrDpRr1+/HjITKy0tTR2CkuG62NjYRmdlBfYcg9V5s9F971h0lrgxIa/hbMw0rIjVHIoBBN6P+NVZ2Dbka6SYb0dAQAd0jt6L7kk7sWN2VNXMKDdrWlXeagy5+CrMHSSGTRdE7+2KpIKN6mynhrPphujfvYnNUR9imGpDAHq9+BF6J7yJrOSBtZcF9sXIlEm4KXFu7krErjM3ITO71uc5lxmG/7IOwjbrDswZeHfttdwjARIwFIEAhQvYGKrBaKz7BCSgnAxL3X///e5fpKOUmzZtgrv/PWWoqaCgQP2Tnhiz2QyZzTV48GCEhobizjvv9EzNHMXIGDkV1pS9WB7TzTN5MhcSIAES8DABOhR7GCizI4G2ICBDTeJTdPToURw6dEj1mZEhpyFDhuC5555rtEfGPfsuw5IyAhMvJsGyflJVTBmHDfmrX8OCm7/Bvqj2jsPjXi2YigRIwD8JUNz4Z7uz1gYkIENNRUVFyMnJgfTqzJ07F4888gjWrVuHXr16ebhGMtSzAeu2r0FM5ymocl0Jx+QVr2DfjscxkI62HubN7EiABDxJgMNSnqTJvHRFwBeGpQ4cOKAONc2fPx+jR4+GTNV+6KGHPDvUpKtWozEkQAIk0HoC7LlpPUPmQAIeIfDvf/8bV65cUf8uXLig5il+NDLUJMfbf0kGj1STmZAACZCA1wlQ3HgdMQsggaYJSBC9U6dOqb0yPXv2VJ2gJYifzGriRgIkQAIk0DwCFDfN48XUBiIgDrcSoM4IW//+/dWAekawlTaSAAmQgN4JMM6N3luI9vkFAVlygRsJkAAJkIBnCFDceIYjcyEBEiABEiABEtAJAYobnTQEzfA8AQlex40ESIAESMD/CFDc+F+bs8YkQAIkQAIk4NMEKG58unlZORIgARIgARLwPwIUN/7X5qwxCZAACZAACfg0AYobn25eVo4ESIAESIAE/I8AxY3/tTlrTAIkQAIkQAI+TYDixqeb178rJ0H8uJEACZAACVQRcJRkIC5gHDJKvvcOknILUsxmxGUUw+GdEtzOleLGbVRMSAIkQAIkQAIkYAQCFDdGaCXaSAIkQAIkQAIk4DYBihu3UTGh0QgwiJ/RWoz2koCvE3DAXmJBRkocAgICqv6GpiDDUgK7U9UdtnxsqUljxtCUDFhKyp1SAA5bIbJXJsCs5RMQh5QMC0rsTQ0I/T9cLXoPKxMiqso3J2DlwbrlAzdhK8xEylBztZ315S1psuvmk3MCF+tY2X5fKG7ajz1LJgESIAES8CcC9gK8PT0ZR0L/gOuKAkW5gbKFnZA5bAF2VfvBOC5kY9rAqbD0eAlllZKmGG+FHsPE6FRkX7hZRcuej1UTpmNvh2dRqKZRUFk2Bx0yn8X0twvqCKVb8e7B3Jl70WFGLiqVSlzPG41Ly36JUSvzq6+7iQvZszFw1CH0WF6ISrHz+h8QemQWomftwQVVOzlgL1yPCZEbcGn07qq6lMxD3xMHsdV2a4ntcYTipj2os8w2I1BSUtJmZXmyoH//+9+ezI55kQAJ6ICAo6wIB/P6YsjgfghS7ekIU8wi/E3ZhcSQOwBcRt6aZciIeAHzZw2CSf2FDkZY4nJsm/QxZq45inI4UJ6/B6ussUiY+rPqNECg6VFMmfQw8g4WoazRzptwJK57FbOiTAhEIIJCxmD+wnGwrtqD/HIHUH4Ua2ZmI2LJvOo0AILCkbh2NSblLMOavMsAriJ/13ZYk1MwPz6sqi5BYYifn4Jkkw5AA6C40Uc70AovEbj//vtx4cIFL+XuvWxFlPXo0cN7BTBnEiCBNicQaA7HY9FHsSD9XeRb3r1lqAnlp3AgsxCmAX3Qo86vcxB6hfaFLfMQCsqB4JhlKCtbgqiL7yM7OxvZ2e8gI2U0QqfudqNOD2BQ+L1OP/6BCOrVDxG2XBwouIzygkPItJkxoE83pzQicMwIjShD5oFTKFftLENEqLlapFUXq6bp5IYN3k9ym/eLYAkk0H4Etm/fjujoaFRUVOCee+5pP0OaUfKXX36Jf/3rX7h4US+j180wnklJgAQaJhAUhTn78vBw7hFkLV6EtDwZw4lFcnoKpo6LRkj1lba0YeiSVk82pnlVB+1FyJjxJKZuvYLo5FeQ9NMf4u64NBSEdkHkgjMotTsQElxHHdWTWWOHCpE2rDvqNWEAUHnxHE7qZPipoVrUK27E0YkbCfgCgd69e6vVsNvtOHfunO6r5HA48N133+HyZen6herMp3ujaSAJkECjBBRFqT0fFIKYePmbhuUOGwr3bMeamcMQbT2M4vmSzITYdAtyEsPq9pzU5PA9SjJexdSDQ5BVugrxPTtWn7kMS8pZAP1qUrZ8ZyzSrVurh8rqyaXcggEm4GQ9p/RyqF5xU6ch9GIp7SABEiABEiABXyIQaMLA+ClIOP4XbD15DheDfo24SWZkHvsctilh6FnT+XINhSsnIvJgPKw5v0ap9SwQMQLhJk3YAHD8C9cu33CDzllYS+2A6uMjyR2wl57BaVMsUiK7IRjDMcm0D8eK/oEpIffXCix7PlaOmoCDk95FTuJDVXZay2BHGIK1Uu1lsJ6uAMZrB9rvswZd+5nAkkmABEiABEjA9wlURQiOQ0p2cfXMJJka/j4O5AOJ04ehX2A3RD+fipE5i5C6+hhsqmNwOUqy0zBnLrBiWTxCArsiMi4Wptyd2Jx3oSoSsMOG/NUvYWZGkRsQC5G2eBWy1anlDtiLM5E0cR9GrpuOaBnKCh6M59cNQc7Ml7A631aVv70Y2YsXYi5mYNm4EASi2s7MWUjKKKqqi6RZuhxpOhmuorhx41ZgEhIgARIgARJoLYHAkInYXDAd3feORWc1Pk0HdI7ei+5JG7BkTFUvSWDPMVidtxpDLr4KcweJhdMF0Xu7IqlgI2YPvFudBxQcnYR9mwfgo2G90EHy6fUi3u+dgD1ZyWh6stIYrEiKxNmlgxAQ0AGdYyyI2JKF1fFaL01H9IxfhrxtQ3AxZWBV/p3HYm/36SjYMQMDg6pkQ5WdKxFx5MmqunSeheM/ScSKWH04FAcoHINq7f3K60mABEiABEiABHREgD03OmoMmkICJEACJEACJNB6AhQ3rWfIHEiABEiABEiABHREgOJGR41BU0iABEiABEiABFpPgOKm9QyZAwmQAAmQAAmQgI4I/H9aWU3obAGBBwAAAABJRU5ErkJggg=="></p>
<p>The motion of the buoy can be assumed to be simple harmonic.</p>
</div>
<div class="specification">
<p>Water can be used in other ways to generate energy.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline the conditions necessary for simple harmonic motion (SHM) to occur.</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>A wave of amplitude 4.3 m and wavelength 35 m, moves with a speed of 3.4 m s<sup>–1</sup>. Calculate the maximum vertical speed of the buoy.</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>Sketch a graph to show the variation with time of the generator output power. Label the time axis with a suitable scale.</p>
<p><img src="data:image/png;base64,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"></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>Outline, with reference to energy changes, the operation of a pumped storage hydroelectric system.</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>The water in a particular pumped storage hydroelectric system falls a vertical distance of 270 m to the turbines. Calculate the speed at which water arrives at the turbines. Assume that there is no energy loss in the system.</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>The hydroelectric system has four 250 MW generators. Determine the maximum time for which the hydroelectric system can maintain full output when a mass of 1.5 x 10<sup>10</sup> kg of water passes through the turbines.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Not all the stored energy can be retrieved because of energy losses in the system. Explain <strong>two</strong> such losses.</p>
<p><img src="data:image/png;base64,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"></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>force/acceleration proportional to displacement «from equilibrium position»</p>
<p>and directed towards equilibrium position/point<br><em><strong>OR</strong></em><br>and directed in opposite direction to the displacement from equilibrium position/point</p>
<p> </p>
<p><em>Do not award marks for stating the defining equation for SHM.</em><br><em>Award <strong>[1 max]</strong> for a ω–=<sup>2</sup>x with a and x defined.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>frequency of buoy movement \( = \frac{{3.4}}{{35}}\) <em><strong>or</strong></em> 0.097 «Hz»</p>
<p><em><strong>OR</strong></em></p>
<p>time period of buoy \( = \frac{{35}}{{3.4}}\) <em><strong>or</strong></em> 10.3 «s» <em><strong>or</strong></em> 10 «s»</p>
<p><em>v</em> = «\(\frac{{2\pi {x_0}}}{T}\) <em><strong>or </strong></em>\(2\pi f{x_0}\)» \(\ = \frac{{2 \times \pi \times 4.3}}{{10.3}}\) <em><strong>or</strong></em> \(2 \times \pi \times 0.097 \times 4.3\)</p>
<p>2.6 «m s<sup>–1</sup>»</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>peaks separated by gaps equal to width of each pulse «shape of peak roughly as shown»</p>
<p>one cycle taking 10 s shown on graph</p>
<p><img 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"></p>
<p><em>Judge by eye.</em><br><em>Do not accept cos<sub>2</sub> or sin<sub>2</sub> graph</em><br><em>At least two peaks needed.</em><br><em>Do not allow square waves or asymmetrical shapes.</em><br><em>Allow ECF from (b)(i) value of period if calculated.</em></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>PE of water is converted to KE of moving water/turbine to electrical energy «in generator/turbine/dynamo»</p>
<p>idea of pumped storage, <em>ie:</em> pump water back during night/when energy cheap to buy/when energy not in demand/when there is a surplus of energy</p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>specific energy available = «<em>gh</em> =» 9.81 x 270 «= 2650J kg<sup>–1</sup>»</p>
<p><em><strong>OR</strong></em></p>
<p><em>mgh</em> \( = \frac{1}{2}\)<em>mv</em><sup>2</sup></p>
<p><em><strong>OR</strong></em></p>
<p><em>v</em><sup>2</sup> = 2gh</p>
<p><em>v</em> = 73 «ms<sup>–1</sup>»</p>
<p> </p>
<p><em>Do not allow 72 as round from 72.8</em></p>
<p> </p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>total energy = «<em>mgh</em> = 1.5 x 10<sup>10</sup> x 9.81 x 270=» 4.0 x 10<sup>13</sup> «J»</p>
<p><em><strong>OR</strong></em></p>
<p>total energy = «\(\frac{1}{2}m{v^2} = \frac{1}{2} \times 1.5 \times {10^{10}} \times \) (answer (c)(ii))<sup>2</sup> =» 4.0 x 10<sup>13</sup> «J»</p>
<p>time = «\(\frac{{4.0 \times {{10}^{13}}}}{{4 \times 2.5 \times {{10}^8}}}\)» 11.1h <em><strong>or</strong> </em>4.0 x 10<sup>4</sup> s</p>
<p> </p>
<p><em>Use of 3.97 x 10<sup>13</sup> «J» gives 11 h.</em></p>
<p><em>For MP2 the unit <strong>must</strong> be present.</em></p>
<div class="question_part_label">c.iii.</div>
</div>
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<p>friction/resistive losses in pipe/fluid resistance/turbulence/turbine or generator «bearings»<br><em><strong>OR</strong></em><br>sound energy losses from turbine/water in pipe </p>
<p>thermal energy/heat losses in wires/components<br><br>water requires kinetic energy to leave system so not all can be transferred</p>
<p> </p>
<p><em>Must see “seat of friction” to award the mark.</em></p>
<p><em>Do not allow “friction” bald.</em></p>
<div class="question_part_label">c.iv.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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[N/A]
<div class="question_part_label">a.</div>
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[N/A]
<div class="question_part_label">b.i.</div>
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[N/A]
<div class="question_part_label">b.ii.</div>
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[N/A]
<div class="question_part_label">c.i.</div>
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[N/A]
<div class="question_part_label">c.ii.</div>
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[N/A]
<div class="question_part_label">c.iii.</div>
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<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.iv.</div>
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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is about simple harmonic motion (SHM), wave motion and polarization. </span></p>
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<p>A liquid is contained in a U-tube.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAi8AAADQCAYAAADPj4GhAAAKDmlDQ1BJQ0MgUHJvZmlsZQAASImVlgdQFNkWhm/35EQaGDIMOecMknOSHEVlmIEhjjBEEVGRxRVYUUREQFmQJSq4usRFRUQxsAgoYN5BFgHluRgIisprZGNtvffq/VW3z9enu88993ZX9Q8AKYyRmBgPCwCQwEnh+jrb0YNDQuk4HsACAUAD0kCEwUxOtPX29gCIfo9/19I4gNbjXa31Wv+8/l8lyIpMZgIAeSMcy0pmJiDcg7A5M5GbgvAKwgrpKYkIw1IIC3ORBhHWXWf2Bjusc8QGB3+5x9/XHmGkFzyZweCyASBmIHl6GpON1CGWIazLYcVwEL6BsBUzmsECgIRHWDMhYcc6GyKsGvGXOuy/1Yz4oyaDwf6DN9byRQIxngwm3Z4RHxPBZaREsv7PbfnfSohP/X2u9d0nR3IC/JAogwwpEAM8AQMwAR3YIzEeOY8AXIRSQCRAWkmJzEhZf9B+R+JObgw7OoVui7y5SLorh6mtSdfX1TMGYP072Cj/lvZlBoh2689cUi8AZvlIkv1njqEAQNdzAKhLf+YU3iCtHQbg4jAzlZu2kUOvHzCACPiBMBBHOlYAqkAL6ANjYAFsgCNwA17AH4SAbcgKokEC0nk6yAL7QB4oAIfBMVAOqsBp0ADOgvOgA/SAK+A6uA2GwRh4BHhgGrwEC2AJrEIQhIMoEBUSh2QhJUgD0odMISvIEfKAfKEQKBxiQxwoFcqC9kMFUDFUDlVDjdD3UBd0BboJjUAPoEloDnoDfYBRMBkWhqVhZVgHNoVtYXfYH94Ks+EkOBPOhQ/BZXANfAZuh6/At+ExmAe/hBdRAEVC0VByKC2UKcoe5YUKRUWhuKhsVD6qFFWDakF1owZQd1E81DzqPRqLpqLpaC20BdoFHYBmopPQ2ehCdDm6Ad2O7kffRU+iF9CfMRSMFEYDY45xxQRj2Jh0TB6mFFOHacNcw4xhpjFLWCyWhlXBmmBdsCHYWOwubCH2JLYV24sdwU5hF3E4nDhOA2eJ88IxcCm4PNwJ3BncZdwobhq3gifhZfH6eCd8KJ6Dz8GX4pvwl/Cj+Bn8KkGAoEQwJ3gRWISdhCJCLaGbcIcwTVglChJViJZEf2IscR+xjNhCvEZ8THxLIpHkSWYkH1IMaS+pjHSOdIM0SXpPFiKrk+3JYeRU8iFyPbmX/ID8lkKhKFNsKKGUFMohSiPlKuUpZYWPyqfN58rH4tvDV8HXzjfK94qfwK/Eb8u/jT+Tv5T/Av8d/nkBgoCygL0AQyBboEKgS2BCYFGQKqgn6CWYIFgo2CR4U3BWCCekLOQoxBLKFTotdFVoioqiKlDtqUzqfmot9Rp1WhgrrCLsKhwrXCB8VnhIeEFESMRQJFAkQ6RC5KIIj4aiKdNcafG0Itp52jjtg6i0qK1opOhB0RbRUdFlMUkxG7FIsXyxVrExsQ/idHFH8TjxI+Id4k8k0BLqEj4S6RKnJK5JzEsKS1pIMiXzJc9LPpSCpdSlfKV2SZ2WGpRalJaRdpZOlD4hfVV6XoYmYyMTK1Mic0lmTpYqayUbI1sie1n2BV2EbkuPp5fR++kLclJyLnKpctVyQ3Kr8iryAfI58q3yTxSICqYKUQolCn0KC4qyip6KWYrNig+VCEqmStFKx5UGlJaVVZSDlA8odyjPqoipuKpkqjSrPFalqFqrJqnWqN5Tw6qZqsWpnVQbVofVjdSj1SvU72jAGsYaMRonNUY0MZpmmhzNGs0JLbKWrVaaVrPWpDZN20M7R7tD+5WOok6ozhGdAZ3Puka68bq1uo/0hPTc9HL0uvXe6KvrM/Ur9O8ZUAycDPYYdBq8NtQwjDQ8ZXjfiGrkaXTAqM/ok7GJMde4xXjORNEk3KTSZMJU2NTbtND0hhnGzM5sj1mP2XtzY/MU8/Pmv1poWcRZNFnMblLZFLmpdtOUpbwlw7LakmdFtwq3+taKZy1nzbCusX5mo2DDsqmzmbFVs421PWP7yk7XjmvXZrdsb26/277XAeXg7JDvMOQo5BjgWO741Eneie3U7LTgbOS8y7nXBePi7nLEZcJV2pXp2ui64Gbittut353s7ude7v7MQ92D69HtCXu6eR71fLxZaTNnc4cX8HL1Our1xFvFO8n7Rx+sj7dPhc9zXz3fLN8BP6rfdr8mvyV/O/8i/0cBqgGpAX2B/IFhgY2By0EOQcVBvGCd4N3Bt0MkQmJCOkNxoYGhdaGLWxy3HNsyHWYUlhc2vlVla8bWm9sktsVvu7idfztj+4VwTHhQeFP4R4YXo4axGOEaURmxwLRnHme+ZNmwSlhzkZaRxZEzUZZRxVGzbEv2UfZctHV0afR8jH1MeczrWJfYqtjlOK+4+ri1+KD41gR8QnhCF0eIE8fp3yGzI2PHSKJGYl4iL8k86VjSAtedW5cMJW9N7kwRRn64g6mqqV+lTqZZpVWkraQHpl/IEMzgZAzuVN95cOdMplPmd7vQu5i7+rLksvZlTe623V2dDWVHZPftUdiTu2d6r/Pehn3EfXH7fsrRzSnOebc/aH93rnTu3typr5y/as7jy+PmTRywOFD1NfrrmK+HDhocPHHwcz4r/1aBbkFpwcdCZuGtb/S+Kftm7VDUoaEi46JTh7GHOYfHj1gfaSgWLM4snjrqebS9hF6SX/Lu2PZjN0sNS6uOE4+nHueVeZR1nlA8cfjEx/Lo8rEKu4rWSqnKg5XLJ1knR0/ZnGqpkq4qqPrwbcy396udq9trlGtKT2NPp51+XhtYO/Cd6XeNdRJ1BXWf6jn1vAbfhv5Gk8bGJqmmoma4ObV57kzYmeGzDmc7W7RaqltprQXnwLnUcy++D/9+/Lz7+b4LphdaflD6obKN2pbfDrXvbF/oiO7gdYZ0jnS5dfV1W3S3/aj9Y32PXE/FRZGLRZeIl3IvrV3OvLzYm9g7f4V9Zapve9+jq8FX7/X79A9dc79247rT9asDtgOXb1je6LlpfrPrlumtjtvGt9sHjQbbfjL6qW3IeKj9jsmdzmGz4e6RTSOXRq1Hr9x1uHv9nuu922Obx0bGA8bvT4RN8O6z7s8+iH/w+mHaw9VHex9jHuc/EXhS+lTqac3Paj+38ox5FycdJgef+T17NMWcevlL8i8fp3OfU56XzsjONM7qz/bMOc0Nv9jyYvpl4svV+bx/Cf6r8pXqqx9+tfl1cCF4Yfo19/Xam8K34m/r3xm+61v0Xny6lLC0upy/Ir7S8N70/cCHoA8zq+kfcR/LPql96v7s/vnxWsLaWiKDy/hiBVDIgKOiAHhTDwAlBPEOw4iX4tvwab95G+gvLuc/8IaX+yLEudTbABCwFwAPxKOcQoYSwmQkrltMfxsAGxj8MX5TcpSB/kYtMhexJitra2+lAcB1A/CJu7a2enJt7VMt0uwDAHqTNvzhurCIaz6HWadBmex/+LN/A24Uvka2luL6AAABnWlUWHRYTUw6Y29tLmFkb2JlLnhtcAAAAAAAPHg6eG1wbWV0YSB4bWxuczp4PSJhZG9iZTpuczptZXRhLyIgeDp4bXB0az0iWE1QIENvcmUgNS40LjAiPgogICA8cmRmOlJERiB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPgogICAgICA8cmRmOkRlc2NyaXB0aW9uIHJkZjphYm91dD0iIgogICAgICAgICAgICB4bWxuczpleGlmPSJodHRwOi8vbnMuYWRvYmUuY29tL2V4aWYvMS4wLyI+CiAgICAgICAgIDxleGlmOlBpeGVsWERpbWVuc2lvbj41NTk8L2V4aWY6UGl4ZWxYRGltZW5zaW9uPgogICAgICAgICA8ZXhpZjpQaXhlbFlEaW1lbnNpb24+MjA4PC9leGlmOlBpeGVsWURpbWVuc2lvbj4KICAgICAgPC9yZGY6RGVzY3JpcHRpb24+CiAgIDwvcmRmOlJERj4KPC94OnhtcG1ldGE+Cnyn2RMAAEAASURBVHgB7F0HYBTV1v6yu9n0XkhCQhJ6Qu9FQBQQRbE8O1Z+ffLUZwN8drGXJ1h5ig2lqPSqVOkl9A4hhPTee9lNdvc/Z5JJNstmUwjZBO7VIbMzt35zZ+65p9oYKEEkgYBAQCAgEBAICAQEAu0EAUU76afopkBAICAQEAgIBAQCAgEJAUG8iIkgEBAICAQEAgIBgUC7QkAQL+3qcYnOCgQEAgIBgYBAQCAgiBcxBwQCAgGBgEBAICAQaFcICOKlXT0u0VmBgEBAICAQEAgIBATxcq3NATIuEwZm19pDv0LjFXPpCgErqhUICAQaQkDVUAZxv+0hYNBpUVKqgY1CUUOIMEFiY2MDBV2zUaqgUqlgqzSlTfUozUpERpEKvoF+cLRTwabtDe8ye2SArkKL4qJy2Do6wcH+ahzjZUJkXFxfIc0lU38JPJ+USmXVXKK/KhWdG5eDHuV5acgs0MPN1wcujvZQ1M1QJ3e7+2HQQVNWhrKyclToAVs7Bzg6OkCtMn2n2t3IRIcFAlcFAoJ4aYeP0ZAXjT/XHUBeUTG0tMjARg2lrQ0c7dVQ2drB2dMXHQOD0SnAD56errBTyqtKGTbMugfvbHLErLVLMLmXP+xr7rVDIEy6rK8oR35uDuLO7ceKJecw5olHMHpgZziLWW6CVO1PfUE8dmw+iOTMXGj1ehhsbKGgBdrR3rZqLnn4wC8gEMEdO8LLyxX2tjIRU46dXz2LD5dm4MEv/ocp4wfAnebgVZGIoCvMiMXezRuwdd9RpBGxHxQ+GDffdguG9wqGExH9IgkEBALWRUC8hdbFv1mtK7y7YfTwVLz/r1exJSYNdj4jcfNdw9HdoxSn92/AoegMpGTkIezW5zDjpccxqpsvESm8Y7SBk2cALUYVcKSFhjk1V1MqSjiIL976An8dOIZsbU90u+8eWoyvphG2/FgUHiEYMjgd+19ZiNWHzkLvNgBjJ41A744OSD6+A4ci45GYXoCQ0VPw9HNPYuKAUDirmYBRwMHNBx0CyuDsoKRfV0+qyInEgrlzMX/1QaicbKGvKMORg9uw8+hpPD99Bh4c3R2CAXP1PG8xknaKALGHRWqnCJz99WlD/54hhk+3RBuKtPqaUaSf3Gh4fPxIQ3DHAEPATW8Y9sfnGCrk25oSQ2FBuUGnky/UFGv3J8UZiYaEmBOGLx+/yTAwZIJhwd9nDEWV7X5YrTKA6FWzDBOH9TC8tmiHIbVYV9NmVuQuw/QHJhm6dwoyBFz/nGHl4ThDmTx3tGWG4sIyQ0VFbf6agu32RG+I3f6D4T/Tnza898d+Q0ZBgSH2wFLDzCnXG0I79jY8PWu+4WLR1ffutNvHJTp+zSIgOC/tlOjkbitsHSXuiVavqdZ9qWIzdOh7M77/SYnbH5qJs2fm46uVN+Crp0ajg5MC5VrSBykD1LSjVBNbwsbGgIqyEuQXFEBDwn2VmmT7Lq60mybxgcyZMVSitLAQuUUl1I6y6r6jWtKBkPRrbPTQlpehoFgHFzd7aAvzUaq3hbuHO4msdCgrKkQeNWpQqEgHxQWubo6wJd0cUL1SucJKuHm7AuXFKCgqhZ5EFy6enrBXUb2lxSjksiQac3F3gwPt+mv6ZfLsnHyD4OTrix6dHEmfp8TkrvhpCQGFyp50qJSk36GF3kBKHtW8FO+eY/DxbAXyXpiF7QdWYMHaYegZ6IOwDvScWbeoTA8FiVEUBgU9FwMqNWUozC9AWUUliZ/s4eDiAmcWZ8r6V6RLUlZciHx6zpU6wN6J7jvaQUkKMwrS1ZLq0FIdRZVwcLaDvrQIJZUKmlfucLAlPRuaD/mFpdBR/+zsneDq6gw70scB1VvB5QqIq+juDJWuHKWl5SjT6qkPrnCi+WogDkoRzWFNJXEgXemagx1xUExZcxoUlPhh3Og7MWDyCPhQ1Rg2GffdFIvEU98ipzgdWYUadHG2twSnuCcQEAhcYQQE8XKFAbZW9ergG/HOP8IwbV4e9vy6FSn394MuNQERW1Zh7l+V+OCHVzEsyAM2ZdnYu3IxlixfhdNpRXD3DceIO6bgyXvHoYObAy0RFciPPYkVv/2GRX8fQnGBEv0mTMZt4/vDVWWDoD6D4FEYh4g9mzF/ZTbu/ecwXFwxD1tTgjHjqw8wqPIs1ixbjmV7zqDU1g1hvUZiyrSnMC7ME+WJ57F71wbM/zUJUz98DDi3DUuW/YUsXTDumvESru+hwOlNK7F8wz7koTPue+YF3DeuN7ydeEWpL9GKCFP10/ryiuuNQUDdcQSen9QHiXHxOLJqH2JvHwH38hIc374eP/yZj6mv/wsTB3WGujwPRzatwvJly3AkNgt27p0x9JZ78cg9E9E1wANEGqEo6Tz+WrEMCzfuRUZ2JXqOGI9bJgxGBxc7BPToDa+KbJyK+BsL16bgOmoz/9AabIuyxwOvv4YbfPKxc+1KLNl+FDkGe3TuOgT3TJ2KiQM7QZEVj0M0Bxf8fhHjn7gdXsWROLR7Lw5GFaHXhLtx111DUR61GytWbMD5TDuMvuNxPPbgRHTztTNRRLZH/0mTWcJadUgA2aNjjyAEhfWAxsUXvq7qxsAm8ggEBAJXEAFBvFxBcK1btRJ9br4F6oUngMyzSM2Owbq33sX6s6eQWT4A+aWVIO4/Etd9ihkfrcctr/+AJaPdsfKVaZj3/lNw6bYbT17XBY6aSHxw/5PY6HsnfvxlFTrl7cSjz7yLF/7IJyuTAPzzvx8i/4svsT7qNDLK9Tjz2jZ4OCqg0+UhMvkoNr32Fna63Ip5Py+BV+IKTJv+Pf6V6YWdX96IjTPfwJLIM0gs0iDyX/vg3nscxvf1Qczmffh02g585eYJt4FjMCzUF9kRe/HJFx3Rs3MHjOnlB6KbRGo1BJToMeZ6OC+NAE5fRGb2BSz+/nes370biaXdkVtQhkqaSxnbfsB7n/2BLve+gW/f7YkDX72B776ZCWUHPzx9+xh0QCzmPjcDy4t74a2PfsRg+/N45fWP8cZz38PRwxdTXv8PlBs2YPPBvYgv1WLfCQ94uBCHQ6fHxZQjOPnp79hV0AOvffYdeiECb741Dy9/7AC/j25Dwnff4Lddu3GhqAwHXt8O97AxCPdzgYfzRaz98S2sXegM154DEB7kB++s4/h98TK4EKfupQcGwM50Lpkq8OhLERsdg5R0e/Qe2xVeNL9FEggIBKyLgHgLrYv/lW1daUf1V32ZVfad8fqa5Zh5kx9448hUqw3thOOOn4WzUy/cOKIbPLxDMeqWwcTKt0OxpkoUVRB1CDu15eh38w3o3sETgYPvwssTvOBOa8q/v16CJ8fehFkbVuKVySFwtVPjhhe/xp+b1+LXnxfisc56JHq5IPiucehJZTsPuh6D7OyhzimBVhWEZ1avx9fPj4aXsxNue/VrbPn1E3z0xQI8N9gLLmQ1NfGZ97Bq7uf433fz8PTIHvCPP4n0nHwQjSRSayOgZG5D1edCqaZn9/08vPJgfwQ6y3OpEsmRF4ioDMKowT3hHxCKwTcOhIePC0pJVKkjS6ZC4uAdKClA8JjhCAsOQFC/iZg2LhChHgo88vaXmHbHA3h90U947bGhCKRJOnzqO1i8ehV+X/Qb/jXIBwWedvC+ZTTCQgPQuc8w9HfzgEt+Gc1iP0z5bj4+f+MudPdzww3TZmHFz7Ox8Lu5mDHlLgz1VqHfTQ9i7tfz8Pt3X2H6g3dgQHE88hMTkF/ZEJB6lCSfwY4TsTAMG4PxkwfBTXw1GwJN3BcIXHEEBOflikNsvQYUJNuvSirSEaBz+t+WLshXSfMFo5+bjVnjCuBRnIpd6/fgg8+3IqdAU9PpwqxU6HUVZHFBuhCSOEaFwK79yTQ7AzklFSBVTcrriO4D+kC92Q/3jg0j82wyr/UOoutdMOcdVxQ4uCLl9G7s++M9bMvNhiYApONQ1Q9ndyfSdeiH20aESea5gBaOTuyvZihG9gmHF+nQgFr2JOUDtV0pyklRQgiFah5Pq53Y0CJPGlLUnpJ0ksi/EJ3xx6N2HbfF4Edew6tDcqC0L8fhzb/hy683ICqxAP2re1mcm4lK0ktR0VwiV4n0nxJ+wb1g53gOecQJJKVyymmPkPAwOLvqccvQcHTqGAznTlxBZ7w1wwM5OhW0CYexeO0X2HTxPAoCh9L8qeqHk6sjzctw3DAgHD7ujlRGQ3OG5o26E0I6DUD3Th7SNWcijJxdKyT9nkqLhDDp8JRnYN/KtTgb74wxT92OQUFErYkkEBAIWB2B2m+P1bsiOtCyCFQi7vRJUqDUwtYlDD6OpIB7SQMGKEiZUZu4Gc+RPsniCypM6ulEprC1Gf3D+8OX2Cz7tu7C6SQiWDJjsId0CWwdemFIFy/y+1FVK7kFIeXf2nLSmU4BJ2cNNs15Hi+RKa4yfDwcHZxB+r2XpIpLVFVYoZMIFRNKpYpjdElxceGKIqBD8oVIlBUWkelwF3iS8z/1JZOJ5pKTMyrS9+G9N17FvAM5GBzsDD/n2oy+XcPg6+2GkxGHcTwmEZmZcTgUEUH+ZQLRP9Qfbo5VukzsRoX1ueskHfkxcqwg/a338Nor85Dj0RfOHh2gMDOXWBG47rwh4ttA3B+eY0aJWzNtxug2dNoSnNwwH6t3xGLATVPw0IQeEsFmnEecCwQEAtZBQHBerIN7i7bK/lrqrvF6lBWcweLZG1BEHlD7vzAWoe4OxNKvqNsuWSlt/2oaXv49Dv83ZymeGtcLGX8mYM3pVZJFD9epDpqEmTd+gOnr1+A/H2twi2sE9l60xeT/zMDwQA+oTQkWo9/l8Vtx7xOvonjQ01j611T08khD/KINWFNGe3h50WGKhxsyKle3k+JXayJw6VwykBHYBaz5YQtSE4oQ9thwdOvkeameCFkpRSx4E2/Pj8CY577As3ffCO1+JY5ezJQs4ngMtv5j8c8xPohfshWffKXDEZ8oRF0owtCpr2JMb/IfY0pJGM0JTco+/HvmLJzzuAlf//oUbuymgeII6W9l0lySiZIWnEvs2+XiPlIOXhuPwIn/hyenjoQbNaQhXRwdcZ7syVLJtLut+ZxEWwKBax0BQby02xnAq3+VXoqC9Al0FRWoJFNTG/IOWpQThw3z3scacpHv2OFmvHjPELhL7BQS/VAxA4lhJA59eRw2rktFmdftGN2jAwzaAqRmkvKljlzsF+YhI6cYDq7pOHmkApobnsc3U/qToOkBPBEcAnc1mVqTp64qukNPHB7a3erJlToJqGRCKi5iK7HdS3H7uKHoQF/6gvgk5FVWQm9bhsy0NPiTg7QKMoGm3tOCUCVI4MfBlrpVfeRr0hUSXdE53WCnc3V31VIGo3+oZHV5Lms5r1Gxa/qUcSZRIeFrQ+AZ6BlVEqeDZIUoy0/G34s+x+rEFFT6jMUTt45AiB+LTkrq4qxJxu6tychWjcWQHqGwNxQjMatUMr/XFxcgK6cIXmQzFnmKzJX7P4Y37h+NEFd7ePkHkoI3u96neUAPq8pUmuYSmTqTSjnNjaqUfHwf9SUb427ti1AXBxQnxSKvXINKVTlyszNQWOpBAkcVibTo+fMhzRwi6qlOPrhu/o+Tgcaopxeg9kpVG1X/0twnHa/Yw2vxzfd/k+TzJjw8uT8qcjOQWpqBiN3nofIJpX4MgRAgGeMmzgUCrYuAIF5aF++WaY0+7Dnpcdizdy/K6QN+/vhRnHQthQsp2pZnnsPaObOxLU0Hxy7/wIezX8TIEHfY0q6xjGLRJObywlSApKR0FAV7oqe7C7acW4Q5P/pglFc6/lhBZsklWsx7/mFsv+d9zLu3GCvTylGcshLzNafJesOBdt02pEfggd5jbsKEUaSzUJ6KA7uPQVOejuMnzqG/rxsCaGHyDCbdBbtN+O3j/8GnYCjSF/+G43l5JFqYh8fu34ZX534M5dFIaLUZOHc2Fv28HeGGVKTlETHDfUxOI38gobAxJCElqRzlmiJkZmShqExL4ig1LXR14TRU0kKWk4zEbMpbUYS09BRkFYSSJYuD5Eekbm7xS0JAp0F+dhIOHohAHvlniY08ixNBLsj0dIQmNwZ///gdNkdmosxnAt56+9+4eSjhSbKa8oJMpOTKOGciX9cdoW7kO+XYOvy8yAMXQgzYtmUHYtKLcf79mYg4/BI+vc8ZG1PykJ68CSu0CQjwdgGrlKvV7uhByrA3juoPD2U+jkWcQEH+CZyjvqT2CoEj5XPr2IXiJznhz3mL4VESA8Oerdh7Pgalmij8Z1oEpr37GvxIB6aoKAbRF2ORER5E6jOlyM0rQiHFKFLlZCA9iyzk3EuRSX3IJwspRyKGcgtKSZRFXEl5MhHBFn90Az7/8nus25eM4IREvHFyGUqKtcjJSUVJwEi8OHMmnMT0EQgIBKyKgPIdSlbtgWi8yQho0w7iv/96A+sv0l7TyQ055w/j780bsWH9emzZfgAlXa/Hw0+/ig9eewB9AlyrP8yF+PuLt/H7qQLYOFSSj47T6DRsIgb2tyHWfhZSI0/gjMtovPzwICTGZ0JtPxpvvfsY+oTYYcfSXcQZKUF2ahKS4uIQFxuL6OjT2PDbWvjfcCPSVn6CBYfzATsXREdsQ1GHYRjUtQO8fNxRevow0vMTcPLYSYyZ/hoGKxKQXm6L6558A+EJC7FwTxoMpDdzbu8mFLl1RN7ueVh2sgg29pWIPnIcDoEdkLrxR6w9lYRi0quJPJAIrx590DnIyyhmUxWElekH8dHrn+CvU+kwkL7m+YM7UGgfgp5dOsHVQdDp5iZaRdYpfP/aB1h+MA1aOzcUxp/Fnm2bseHPP7F52z5k+/TF7VNn4N3XHsWIHn7VsbCKse+XOViyPxZFCh3hfB6e3YZiwCBXRKdlI57M38/b9sEj/xiGiuJiMqPuhxdeegTXDfDGkQ0HyQFdDhFMaUiunksXL57BVvK/4hjWGwX7FmPp3lgUGJyRePIA8h27IaxrEPw7uEMTc47ERBfJ8eIZ9H1wKob5aFBcrkOfe55F35Jd+GtfFPIqbBB3bA/ylE5Ij9qL/fv2ILLQgOzEOBRrNdCkHKV3ZTMuVNoiIz4LGoMbevTrQRZ4VZSwviAWK9f+iY0R0XAjP0cGdtBYWoJKIoxtbW1x/fgJuOuWG+AvAmaZm07imkCg1RCwYd/CrdaaaKhNIqBjU1aaBrZq8ppLXJXSoiIonUgpk7g1J5bOwpO/OuGrb6dhQAc1sdSJc0MakeUFUXj73mcQ+tFSPDeOP/71aQDoiLNCoiQFi5lYP6EURRoleTdlzokJ66RNoiM61RQE9Cy+JLGMihZ6jnBeXkKeju3soFYacH7D15j+SzH+OeMRyZ+PgrzwVmhJJElmy1/++zXY3f8a/vmPsQhyqY/QJC+65AVab6OUIqYrDOUoIWmXHc3bGg++TemsyCsQEAi0WwTqW3Ha7YBEx5uOgJI+/mpaYORAjY7k0t2OFh4bbTTmz9kAVbATDKUFKKFdLpvJkgs60nEphNbVCwM7uZF7dkvTiE1V1ZSHCBfumtKR2P+k7CgIl6Y/qHZQQkFEC88lJlw42RMRbK8it/8VCVjx0xYU25NejaGUuBmsHcUm8axjUgSNgws5kHOHm319hAvXRkQL1c/zTZLyKOyJCLYXhAtDI5JA4BpDwNKX4hqDQgz3EgRsnBHi3wGH98zD45sXYfiNoxDs70Ru/Y8iIjoPI/75GUaE+hChc0lJcUEgUBcBG0d09PGFbcQyvPLQevQZNhjdO3ujIu2MZJEUftfLGNYnDK7siEgkgYBAQCDQAAJCbNQAQNf87bJU7Fy/Fn/9fRSxmeeRnumGgTdMwv2P3Iuh3XxIHCBEP9f8HGksAOTw7eC2Lfhr835EJZ9HWpYdegweh3seugfX9SVndPWKHhvbgMgnEBAIXCsICOLlWnnSYpwCAYGAQEAgIBC4ShAQDP+r5EGKYQgEBAICAYGAQOBaQUAQL9fKkxbjFAgIBAQCAgGBwFWCgCBerpIHKYYhEBAICAQEAgKBawUBQbxcK09ajFMgIBAQCAgEBAJXCQKCeLlKHqQYhkBAICAQEAgIBK4VBATxcq08aTFOgYBAQCAgEBAIXCUICOKlnTxIjaYqgnRLdLcl62qJ/pirg/uo5/DQLZC0FP6gpepqge60iSoYjwpy5d8S0UG4Dsa4Jeq6UuDodBzsk8JUtEA0FMaukqOjt9D8vFJjFvUKBK5mBATx0k6e7l4pgnR5i/T24AEK3sgxZ9po4kWG+5ifT8EeWyAdPXoUeRTNWqRaBIopYOK5c+coCnNR7cVmnjGheYaCJRYUFDSzhitfLCMjAzExMS0y7/NycxFLwUnb8nivPKKiBYGAdREQxIt18W906yuWL2+RhYYbXLN2LXJyclpkF9roATQhY1lZGdasWUMRhDObUKr+rBs3bkR6Wlr9Ga7BO2mER8T+/S1CIPIivn37dmlOtVUokxITcfz48RbpYyphx3UxhiIJBAQC1kFAEC/WwV20KhAQCAgEBAICAYFAMxEQxEszgRPFBAICAYGAQEAgIBCwDgKCeLEO7qJVgYBAQCAgEBAICASaiYAgXpoJnCgmEBAICAQEAgIBgYB1EBDEi3VwF60KBAQCAgGBgEBAINBMBATx0kzgRDGBgEBAICAQEAgIBKyDgCBerIO7aFUgIBAQCAgEBAICgWYiIIiXZgInigkEBAICAYGAQEAgYB0EBPFiHdxFqwIBgYBAQCAgEBAINBMBQbw0EzhRTCAgEBAICAQEAgIB6yAgiBfr4C5aFQgIBAQCAgGBgECgmQgI4qWZwIliAgGBgEBAICAQEAhYBwFBvFgHd9GqQEAgIBAQCAgEBALNREAQL80EThQTCAgEBAICAYGAQMA6CAjixTq4i1YFAgIBgYBAQCAgEGgmAoJ4aSZwophAQCAgEBAICAQEAtZBQBAv1sFdtCoQEAgIBAQCAgGBQDMREMRLM4ETxQQCAgGBgEBAICAQsA4CgnixDu6iVYGAQEAgIBAQCAgEmomAIF6aCZwoJhAQCAgEBAICAYGAdRAQxIt1cBetCgQEAgIBgYBAQCDQTAQE8dJM4EQxgYBAQCAgEBAICASsg4AgXqyDu2hVICAQEAgIBAQCAoFmIiCIl2YCJ4oJBAQCAgGBgEBAIGAdBATxYh3cRasCAYGAQEAgIBAQCDQTAUG8NBM4UUwgIBAQCAgEBAICAesgIIgX6+AuWhUICAQEAgIBgYBAoJkICOKlmcCJYgIBgYBAQCAgEBAIWAcBQbxYB3fRqkBAICAQEAgIBAQCzURAEC/NBE4UEwgIBAQCAgGBgEDAOggI4sU6uItWBQICAYGAQEAgIBBoJgKCeGkmcKKYQEAgIBAQCAgEBALWQUAQL9bBXbQqEBAICAQEAgIBgUAzERDESzOBE8UEAgIBgYBAQCAgELAOAoJ4sQ7uolWBgEBAICAQEAgIBJqJgCBemgmcKCYQEAgIBAQCAgGBgHUQEMSLdXAXrQoEBAICAYGAQEAg0EwEBPHSTOBEMYGAQEAgIBAQCAgErIOAIF6sg7toVSAgEBAICAQEAgKBZiIgiJdmAieKCQQEAgIBgYBAQCBgHQQE8WId3EWrAgGBgEBAICAQEAg0EwFVM8uJYgIBgYBAoE0iUFZWJvVLrVZDqVRK5wb6V6/Toby8XDpsbGwA6X/6pzopFAro9XrwPYPBIP3lW3zOSb6n0WhQWVlZc126Kf4RCAgEWhUBQby0KtyiMYGAQOBKI7B7924wgdGrVy906dJFao4Jj8zMTJw6dQpZ2VmwU9tJhI1CqYBSoQQTLjYKGyJw9FJ+pUopESu6Sp30l8vzwfVevHgR+fn5EgFzpcci6hcICATMIyCIF/O4iKsCAYFAO0SAiYuVK1ciLiYGDz/6KEJDQyXCREnEiZ+/P/r06QNPT0+JCKnUVUrEio44Mjo9HUSocHlODkoHqJQqqG3VUNmqaggcW1tbqFQqxMXFgc9FEggIBKyDgCBerIO7aFUgIBBoBAIGIioqKiuIsDBASdwSWxWp6ekroCmvAJS2UKttQQyTmnTkyBFciIpCdHQ0Tp08idRx4xAYGChxTVicxGIjFiU5OjrWlDE+YVGTvb39JYQJEzglJSWoqKiQDhYbiSQQEAhYDwFBvFgPe9GyQEAgYBEBA/LT4xF1Pgrn4/LRdfRYDAzxRG7sKRw4eBoVnYZj3OBu8HVRS7VotVqsX7cO6enp0u9Dhw/j8KFDCAgIkEQ8mVmZOBd5Djm5OfW26u7mLnFrmDtjnEpLSxEXH4fs7GwkJiRC1qsxziPOBQICgdZDQBAvrYe1aEkgIBBoEgJ65Fw8ij++nY+dRyIRdP8bmHmrJ+b9bxGiohOhvMkB3bsH1xAv586dA3NeioqKpFZiSXR08OBBjBo9mjg0agR3Csbw4cMRHBzcpF5wZhcXF/Tr208qd/r0aXBbIgkEBALWQ0AQL9bDXrQsEBAIWERAia5j7sNXo4bju0eewQ+/vYPHVnvg4dc+whvvhsPDywe+nk41NURERJAIyQbuHh5sSET6KrZIIy7MhQsXJFERWxux2IdFPiw6kiyOakrXWhXJ1kVGt+qcsuJuQ3nqFBA/BAICgRZHQBAvLQ6pqFAgIBBoUQQUHTFsbChWkMjH8+Y38MDEcegT4HxJE4899himTJmCrVu3kk5MOXqGhRFnpjvs7Owk8VF2Tg6iLkRJ+iz+pLzL3BjjxERJYWEhSkpLjC9fcs5iJ1bsFQTMJdCICwKBVkNAEC+tBrVoSCAgEGgeAjbwDgiB2s4JocHucHOyM1uNrITrRMq4bPrMoh4+ODGXhRVxWafF0anqvmklzJVhnZasrCzTW3V+p6Wm1fqKqXNH/BAICARaCwFBvLQW0qIdgYBAoFkIVJalYOuv+5CflIcLZ5ORX1ACP7U9bNiMmayPjIyN6q2fxUSurq6S5ZGPt4/ZfEzcdOvWTTrMZqi+yASR0HmxhJC4JxC48ggI4uXKYyxaEAgIBJqIgEGvRXFhKQxEmVzYtACbO3VBR7L2iTp8HsmJCcg4mgn/If3RraMP7BpDvTSxfZFdICAQaNsICOKlbT8f0TuBwDWJgD7nLH74cjXyVUXYf1CJlz54Cu5d0/D2vAj8/lMiUr1uxvt9B0JlRLgUSfoqpcgj77ca8umSRR51PUh5lzklrJ/CYiE2cWZ/LfUlFjexjgz/NU6sDyMr+3Id7PdFJIGAQMB6CAjixXrYi5YFAgKBehDQluUiKukMjkeWYNqHn+C6Pl0B28kI2b0Q54r64J2ZkzCkixeqIhdVVbJ02TKsWL4cmayzQsSKLSnk9uvbF1P/7/9QSYRLcnIyNFoNfHzMi424Fm8fb/To1gNeXl51elZcXCxZLaWmpSIlJUXyxlsng/ghEBAItCoCgnhpVbhFYwIBgUBjEHDoNA5ffzccOoUd7O3YPT+V6ncPvv3lDijIBFpdHXDRuK6+RKgsXbIEGdVO6jgkwNixYxESEkKO5RIk53PN9fPC+jKDBw+WmhN+XoxRF+cCAesgUJc3ap0+iFYFAgIBgcAlCNg7OcHJoZpwke4qJYshc4QL3x40aBB69+4NJyrHYp+gTp0wZMgQsFm0nISPFhkJ8Vcg0L4REJyX9v38RO8FAgKBagTYouiOO+7AsWPHpMjPzCmRuSVMtHBco4KCAknnhc2qTfVaZL0Y1m2xlITOiyV0xD2BQOsgIIiXy8CZY6k01lEVR6Llj6ucWOGvscHdzH1kue3GJlZANE78IWcnW/wxN63bOB+fc+Rc4zzc58YqK3I548i7jFVj+s194zZMseVFhfvemGQObzlicEPl+TnxIXtg5TZ53Kb9qa8edn4ml+U8lzNPmoJ3U/rN9fLBmPDB/eVn1Zx+y+MzxudK9dsUc9N+XzdqFDp27IiMjAxJTOTn5yeNjwmONNJXYbtqfp4cbZoJGMaM5wonfh8iIyMRGxdr8VmzzotBb6iZEzJmXC/P28bMUS4jPy95TPIzYRz5vlyvfN/4r3G/ja+Lc4HAtYKAIF6a+aT5g81xU/LJssH4o11fdSx3DyOPn/Jizn4iEkgO35gPHVtL8IdVTvxhPnHiRKMIAf7IMTvd19dXIkK4nry8POzbtw8cfM7SB5Lb69qlC7qRl1K532fPnEESKT42pt/u7u4S297BwUHqOgfM4343tLPlxZTzsrdTXgx4DHztxPHjkjJmY/Fm76rsu4NTFEUaTklNbbBtzsv6Df379wf3n1MmWa3w82KlzYaSLS2E/ahshw4dpH7zosljZudnjel3165d0YUwZ4KT858/fx6JiYmNInQ9qL/cNvefU1pamrQYc1BB08T4stt8J2dnSTmVF/ABAwZI/Waiky1yjhPePFca6jdzM7gteU7w30jCKzEpqVGErhfNw779+tU4lGPFWn5ejF1DiQlF7jfPb57LPL8H0nwPDAqSMNyyZYtUxcWLF4nrUkjj85MUd7kNThy0sWfPnnAmHBhztk5yzaL3jeZbfclWZSsp7bLuCyv/ymIpfsaMaW5ubn1Fa64z3jw/mYji+c3PiMsy8cR4s+jL0rvZiURiXF52zFdTsTgRCFwjCAjipZkPOiE+Hu+9+26jF6Xw8HB8/c038Pb2llqcM3s2zhAhwLuthhJ/xHgHKSeOnLtgwYJGLaZc5t///jemPPSQ9KG7GB0tLSy8MCmp3jL6SKvo48mLrkFuwOjvgIEDMZv6ytYX/FH9+JNPEE0f2cZwX/ij/AcpULLjLx7D0qVLsZwsQsyZqlYSkaIjLOxpAWHeSjERLhH794MXc26bP+yfffYZYijYXkOLKXefF7A3Xn8dXag8559L2BfTgtyYfjOh9s3cuRg2bJjU73WENyuC5pB7+cakZ559Fvfde68UY+fs2bOYTf2OjbW8m5frZYXSV159VVrUmMj7+quvpGCDMmEg5zP3lwm1uf/7X42oZNWqVVi1cqVEgJjmr2DOCxHgO3furOGsTZ8xA3feeadE/DDBxXM0Li7OtOglv3VErHjSoi8TG/z38y++kIjNxjwrVzc3fEPPpx8RMJx4jjDmTBQ1Jr362mu47bbbJALkMEWS3r17t7QxMLKilgh9Pc0DNc1zBc1LOTHR9MzTT2P4iBFS/xmvxYsXW5xjWnouPFd37dghzQ8OScBp3969mDdvnsT1keu39Pfe++7DtGnTpG8Cz+/vvv1W2hDxe8jWURX0fPg58bvDllPcdyUdnIYMHYqn//UvaZ5LF8Q/AoFrDAEb+riYW7OuMRiaPlyGLZoIAeYONAZCZmXLu3FuLZ12qql0NGYx5V0hLyQffvSRtMPkxZ93kuZEMKa7Nba46N6jh/Rh537y8TR9rPljz/1hDgzvWjt37lzDPjdGIzAwsGY3zteZZc6cn8b0mzkAXK/MtWHOBRMf5vrNXCheKHnx5j7++OOPeOmllyQOCI+JF28mAHhBM17ITccr9513wzwubnvWrFkYQ5GFfei3ubblMvJfxpt3xDLXhvvN/TPHwZDLyH+Za8EElxstyJwYJx5zY+cJ4827eVmUkUp4s+lvQ9wqbovb5B253G9uk7k2MlHBeeQUT8Q364aMuu46+NI84PaY4yNzbZioZrwb02/mOBw4cAAPP/xwjXda5mzw9cb0mzlc3G9ZvFlA3Ezm7pnrt9x/+S8/X8abnxknbo+jSRfRMzN+L3mjwFZI4b161dkIMNbMfZHjHDGBmkocOub0mSa5Pn6ejCtbNzF+LtWcLn4v+f1oDNHFeAfSN4HnJCeeJ1yWuXzMPUqjPlykdvg5MRHGyschFA3bm/rLnEyeJ4yZPE+kSsQ/AoFrCAHBeWnmw+ZFk9m2zU1+tLjy0djEH+nikmLYF1WJQUI7h5otqlKqJA6L6aLOi1FpGXksJcKAP9R9+vSRdAN+/uknSUQzadIkiWVutlKji0yE8dGcxAuMvLs2Lb9r1y4cpV3zQ8Qh4gWURSA6vY4WoaKarL4dfGmhrfrY80WFjaJGb6EmU/UJExrlmnKUlZdJO1h/WqB60cLVnMT9bm5Z5j5dzjwJIKz5aE5iHNn6xlziezlEXPShBZgXQdPEi2Jj+83ELHOYjHWjeHHloznJjZ49H81J/J70IDGQaeL5zxzGkM4hCO4UXOc2zxM+ODFhwM+an5txYoKZ5xLXw+f8HgUTMSETLpyXRT2Nxcy4bj7n9vg5mD4LnsdMRB49ehSniQBjDmkveqYsaisqKpLeZSZWTftrWr/4LRC42hAQxEs7eaIsVjl65Eidj6W5rnPguYGDBsJOXVdJlxeYyPOR0s5U1r9gTgez2fne1KlTJR0PU6LHXBstfY05G8tIpMQ7T2afM4HDH+aTJ09Ku/f62mNCbdDgQSSy8KyThRcWHiuPkxeaXNbboL8iXbsIsBiGOZ364wakJKfUCwTrgXXtUiWqNM7EXJUL0RckzkhSYlKjOErG5Zt7zjotTIDywYQMc3uZkFm0aJHEYWNChoktOUq2IGSai7Qo194QEMRLO3livGscO/YGSRTSnC4bc0y2btkqydHXrlmDEiIcODHng3d91lAAZL0LWUTAfepCoiZWnBx13ShJmbKp42UCbNDAQTXFIvZHSOOtuSBOrjkEmNsYQkrzzXVSx0rz8pyylpM6fjeZsOdDIqZIqfkoif4Wkv6bPXGMmJvai3TrmKPL42UxnODIXHNT/ZoZsCBe2tGjZnk+62wwS9+YRW88BGN9EOPrxufMmeBd3MZNm0iUVCYt7H/9+ScmT57c6sQLs+G5bf4Yc9pM1iGPPf64xJ7n8fLB4zXHEeKx8nUej6XU0H1LZcW9qwMBniF64l7yfGL9En5/zM0pnisNzZfG5LnSqLGIipXp+WDO5QUiZI4QR+bXX3+FI91jTg0bCbCivyBkrvTTEPVbAwFBvFgD9Wa0yYs8i3nYdJVl7ayHYfrx5Q8zm243RMAwAbSHLDJYgVHOy6xoZkmzAiPrDbRWYoVENjmXFSRZWZOtRfIL8iVlRd7x8gdYVkI17hcTPKzcKI/B+J7xuZaULy2TN8a5xfnViABbB3HARn6HWK9FVuY2HivPI55TTNhbSvwO8rvWEJFjqY6WvMffArau44MVrJmQ4ff5F3qv+P3pQ4RMT3LTwAr67ZWQYayljQoBV2tFRoQmSYNtFEZXzOVjgpQ2ObW5mog+l+d2qY6rOjV2nI3Nd4XBEsTLFQa4xaqnF0elIpNmdZUjMXMvEn+46rNCMu4HEwas68ImyJL5KBErbKJ86NAhDKSdXGsSLwfJSoX1DLgfGiJEXOljy/5cKrQV0liZ7W1urDye5BSyaMmq0msxHp/pOevPtJWFxrRv4nfrIGBDnBa2vOP3R0nvkbnEBDTPqcyMTHO3a64xwc3K8/XNy5qMVjhhRezBFBKBD7Z6Yn85R+hd30duB9zJGo11ZNjfFBMyLFbid72ti5YMOg1tyvJQUG4DL3I14Ux7q0ptOfLzclGuV8PN2weudgpcmo+cYtI3pZBwKAflo++dq7ppEXF02hIUZmagGG7oEOAJtRGhZIXHe8WabOw4G5vvinXUqGJBvBiB0ZZPWeelc+cuFnVemBgZQf4qGkpr167FM888I1mD/EY+LTqSVQiXY5l6axIu3M/77r8f7O+CCSf2LfLAAw9IH1P2oRMSHIIgcjZWXwrrGQZcalhySfZt27aRZdJVvmu6ZNTigjECTLi4kx5VaEgo/MhRnbnEHBmeU9K8Mpeh+hoT2+y0sK0nNp0fSv5g+GCOLDs8PEZK/5KDSsJCImTIMovNr5mz2VYJmYqcM5g3ew6WRHljxoyZeHCACsd2b8DcH37HBcfBmDlzBu4d1AGm+e7uqceRHevww8KVuOg6rCZf45+bDtnRB/DtS9Owz34yPls4GwPczRO+ja+zLeasf5wGYm2xrYNSyURf/fmsMSpBvFgD9Wa2ybJ6Piwl3g2a04dhzoMsXuFz/lDxzovzsk6JvAuzVPeVuCcTS9wHPpitLfe/MeOtT3eBxypzW+S/V6L/os72gYAkNqx+Bxp6hxqaU1y+vc0p9qXDysp8sNiLPfkeIUJmz549kpM81pFhM292otnmCBmKLO7i7g1vX3eo7GxQkpuJxNgzyMrPBuxoZdVVC4VN8hVlZyDhwnlyLkkej52M8jVhyips7eHm2wEd6FupVl69GyCz49RriHuXi9QCe4SHeEiomc3XBDxbMqsgXloSzStYF5v6skkzy9otJSZCWG9FJgDkvGzNw27LZbl+W/74ct+Yhc8Ou1hmX1/iMfJYecymicfKY+a6yvmvaQbx+5pCgOc9iw85LIIlMQkv3LzQMxFtnFhPjMWyrA/DJvg8P9vyO2Tcd9NztuQbOXKkdPB7co589LCOzA7yGMy6QKwjwyFBjAkZ0++JaZ1X8rfauzemzfgM/0fvsh37tEEQ7n7wccSn5mBFTG3L5vI97KtCRml+nXy1JRo6U8Kn63A8/+NWaPS25MenaSKnhmpvO/fNjJM4LqVZsdi6aTVW4g4skYgXM/msOAhBvFgR/KY0TfsGpGek1zjTqq+sk6OTpENi+rFhi4S09CqPvvzhlbkw9dVjzevMPaqorEBWdiYcHKviIpnrDy9CLOPnhcZY/4DHlp2TLcn8eYGRiRhzdYhr1wYCzC1hPZXMrMw6Cp6mo3dxdpGIYVPihTcNOXk5yMvNqyFejOecaT3t5TeLwEaR92k+2LswOxtkf1LbmZChjUFvMr9mjgwTNSxWMyX8dBUalBFRV1hKTv5UajgSfk70ztpWcykMegr+WVqMgqISVBiU9D7zRoP+2qkpPImedFK00JGzSVvyS+Vgr0IF6ahoNBSAVaEiDpAD7ElHRa+rRIWmGFoiIBRKKmerQCU5sGTfV7WJOMtm85F+DGVjqbGuogz5OZko0xLn2cEJrs6OFHKB6ycrzjJS/qd8HH5BR5sdrYH0AJ0c4ET6NeUaLUp1etg52EBHjgpLNVXx1mztHUFdlsZXVmkgJ4i2UJPoXa3Qo4Lq4NArBnvCQ0GEb0ExjV8FB8LHxVEFbUkRCotLobdRw9nVDU4OpMtYO5jqMwP1uQJlRDBrKpUk1ldAwwrlFXo4OLmS0QaJ+WvoKRp/hZbCqhSguIyC9pIPLAdnNzg7kThQ0tOh+/RNLSZ9x4KyCrptC0d7NeHgAkc1eTAn7GrHqYCuJAPHdm7EH99uR8cXb0EBPWOl2gEOSorOXo2HPYFTJUSz3LbBoCN8y2gTSQFgHSiGmI0WRQUUqkVBBKELjYPG3pwkiJfmoGaFMiyzHzhgoEWdF0vd4o8PH5yWLV12yUfIUllr3ONFpG+ffs3y88KEW88etcowG/7aIHRerPEQ21CbahKT+vsHoH+//pK1XlO7xqbJPbr1kIrxBqE96Lw0dYysMzdmzBjpYO4Sh1RgHRnWGRtIwS/HT5ggcTrleis1JUg4cxB/zl+ETfuOotC1I0beci8evP829AnxgVKvRU7iWezatBbL/9qN1Epn9OjN4UKCSHw1DOGu2YjYdRiZleSj5roJmDA2FDF7tuHvXSdR7NwF11N7Y/t5IzXmOLYs/x3R2mBMfPApjO/lJXeh5q9eW4xEC/lsKnIRe2w9Zv+6CzvOFKLLyFvw+EN3Y3hPL+rjOezeuALHslXoGOSHlD07cUHbDSMnT8Lk4Dz8tWkPzpT2wDtv34Hcfeuwdm8C7DzcEXbDA5jUTYGDm37HljNZcPUKxfX3PoxwdRoObN+AHQdPwG7wFNzoEY1li9fjXK4Hrr9rCh64PgBRu1fh95U7kWsbislPPI0n7xwBJ5Ux+ULKxiVkcXn6EDZs2oXjiQ647ZaO2Lt0CQ5l6DHwhvsx9fEHMSDUmYhAinBekoeYY3uwYukK7D58AUrfAIQOvQ2PP3g7+oZ6Q20oQ2rUfiz4dgFWHk2Eh28w+vfoiP53P4/7etvi4tG9+LN6nB+8fw+y/l6Od16ZjfO2ngha9zO+zeiOTr1vQH/bmJp8H895CoEqy2337kRBTrPjsX/bZuzdewyOI+/DYJuzWLTwb2Sq/XD3U89h6uTBsG+GSE4QLzXTv+2fMMeETYPrU6xjLgNzHRpiZ7dlrgs/BXkcbH1kya+NrLvQ0Hgbut/2n3zL95C5BjwPmCvFc4p/S5wE/n6SjM0SV4HxlA/Ox3U0Zt61/CgaXyP3l+cLv0M8p/gdMjfGxuizNCZP43vWNnOyyGjs2LHSkUWxtVjkxpyXmmSg2FcRK/HNvDVQhE3CrF/+DxF//IwF895Eel46Kda+hICsffh87g/YUxyIJ1/8jBa+81hM4UhWn81Cp/AbcOfYAUjauwNr5m9EqVMIRt04EN169cBWWuiWrIiHQ2B/hDtH44/v5mLhxjNwHfAPDC0xLzbPjYmwmC/xwHb8evYIOrrbQ1VejIhVXyItJwOP3zIAifuWYeGmE8QJ0REnwA0uzhSklqyYtny9CpH6nTiYo0HIAGdo7b3QY8BgBO/bgs/WFuLOHnfgrsGd0DW8ByK2fI91x8LRiRxr5h75CW//uJk4WWSR9udBRISFoHevrsDpzfjpwz1Y8LkLuncLJoXpXsjYvA1LfyxC5wF/YHIXI3z1ZUg6vQufPDsLe7OzUEJcp90HPOFLfdOWFeHPn/6H2JPl+HbJMwi2Lcb5vSvx4b9/RuWkZ/DJLzMRH7EGb/33c5zedwJvf/cJhthGYdv8r7En9Sb8tvJjFB5cj7nf/YVjQzIx0iYOc16ahX3V4yyBE4Ioztn4kc5IPOuMPr0GYnj/IBRnnsKcT/5bk6+IGDx6FFps++X3p0G/+xu888sOZOaVQb31EHZ0C0LnLv5I37ELf/xQhK6Dl2BC4KWi/5q5Vs+JIF7qAaatXeYP7pmz9AKTmKR7typ5tOnHlxcR1hNhnzCWEvuyaMsEDI+LWfyRUeeJxa+QAgbyztc08e6QxWENESesp9BQHtO6r/bfvACzaI131zm5OZLojUUCSkWVaTqbE/NvNlnnc/aSwXPG+KgkVrOWWMg852R9qraKG4sh5RhMzJ/vFFQbwFLuM783PA7WbbGU0ijMwLU0p1ivjA/jZCiMw/rt+3DePhhPjRuOAG8nCqLaEceP0hodm0lxmE7g7P712BvvjQenP4vHJnSBAuHQXIxDYlKkVJW9eyC69AxAYAAp6YO8ASvUcA8Mw4S+XXHqRCSJJEjHIuwmzHidOC12c7AmwbgHdc+9G8intO+Nh5+ZiRf+PRL5R9bjmzlfY+WWYzgbPhbPv/E2VI5z8O2yLNz71IuYem84DOUVsHHyhFP+Mcx96VnQsKCyUcHZyx/dB4ZDuesAHOmaUmUH/64DMGTsrVi/hHwIeQfjtn+9g07de+Lfz/wMz0kvYe4nU+CnS8aOcAdM/XgnBvzjZfxv1r3w1iRia08VXlkUgzPRqUS8dKkdlMIRXYbfig8WOuHLl6ZiWWEfjH95Nr691RenNi3GG//5HGm5G/HnwTvxUKdUbF9G0cx7DsPHbz+KAQRXT19nGHJj8NJPR8gqazM+fcAd0WdTgFBbEsk5oMeIG/GIjnSBKtXoMmwyPlzkUjNOWxqTb7fBuO6OB7Eg7iAC+l2PG8Zy33QY3MuvJh+ReMhPPG+x7Z9Xjccvr83Cl/4+eOitDeh36/P44qPH4VsUibXeOfjmCOmisZiLnn9TkyBemoqYlfLzQsKmw7wjYoU7c4kDGfJi3hDxwh/ytp5Y3h1MCwyHLDDnoI77zwRdYwixCspH2+y2PuRW7R+L1nx9fCVPrDyfmCPBBA0TJ0yUVFZUHVIwUDvardqqJMJGehYkZ7cl+T7Xwb85KjM7ODTVh2jVATXQmJJ0ADjYJzt4lOMAmRbhsfMGgN8hS4nzMEammwdLZa62e6X5pDtClihxEbvxydn9tboXTkEIDXGFIjMKUclRCAgfjaG9OxJxwon0MFxJ38VVRoM1+fgwTmxxqESd0GxcuDGvr4V8/sPCETYqDG6kM+M2dBxuGXEC5yK2oLyyCDqHvghx8UGfwR0QNro/unaSTel1yMjnXtcmNh02/b7yBkuhNtpc0VxTkT6MbwcvhE8YhkC6pSuhPMTtcyEdo34jByLAnq7pSK/HhQLQ6shAodQUB26TfBPR4UA+ZsICrsPrd/SkwJxEmAy/GY9O2YP3NxXSxoN0XJwycP5ACdTdfOBZzbxx8PRF98HXo+s3h1AWeQI5trfCP6QMUWs/x9TTx/H0qw9h+IAH8DaNu6qluuPU0zi1vAkmjiVIx0ZODHEtHqRjQ9wry20fQ4p2OFF5DvCkoLp9x48GSbpIz4n85oT3A46ckatu8t/afjS5qCjQmgjwwsAyadMdkHEfWE+ETR4bShzI0FSht6EyrX2fdRQ86EVny4/6EvuAseQHRi7H/j0a8+2T819Lf2Vvs5czZl702/pCzjpjDqRMye8QvyfmEivpMnHDh6UkcaQasPqzVP5quFecmYZCWtnH3v8ciYimIcxN9n9CyqqaSqQeXoET5ERO6Uo8uyrKxbrDJoXbGpNqG0d4d3SAdwBHpqeDfZgQd5H0VmHLi3UTExcxN/91egrDUlm78EvVmhADjWuKTPP15eSYj3LTiu1ASq4du/cCNkVIysbFhfm4mEd9IILDIH/oFPbw9OqIQZ2AU/T18wogjtY9b5IO02wczN6Gt5/ahdBe/8B7X82An6+RuKpxHarKRYrODbcNqO2d4OMXhC7m8GhKeyZ528K0MumS+CkQEAgIBAQCbRkBO1d32LuqcDYyCsfPJkPLxAElXXmGZHZ9PCoVBmITZOcV00FiaokmqHJ4RrRudWK3+9WrrbzoEieGORHV1cl3q/LX5JHL099GXzPOSAQWERWVICsX4iBKFAz1hGmDioY4tGZoGynwgCypNyrPLZp1jmncFaOhNHhaXY5F4BynS0+/dWQdpSDCy96W4sDp2OpLtsBiHTYlcUyVMJAVmJ7G6h8+Bp9uWon3n5+CMF8l0qLW4dM3f0GKXKS+DtCYuM1LRe/kU6yBtsmMjGqt1pGjs0scFJvBs75umF4XnBdTRNrwb2ZXs5jEUpJZ+aY7ARYJsGiAJyCzPS+diJZqbf17Mgvf0nh5jOzjxZy4gscqs3creZds9FFp/dG0zRYbgzH3nDkS5oJjyqImfkZtXYmV5zubOzf0DvH7w3PKlDPJWHF5nlNcB4/3Wk7OPv7w9vNHxl8bsdrbEx1cHkMff3tkHFqOZSeK0ME/BO4unriwnSyFuu9Fd+/r4aXIR0pKLkjSUUt0kJWJQUlik4pSFJH5sH1uKi4mZJAyrRbdSTG1jPQhbImYoQ8WrXwkZCLLGk78s/ZaFTVU91ptPl7zdcSV0JCoj8OQ6EpSSMyZhgyHHhjaszu8yPy3kqkr+l/B3AvKL9MXTF4xscXiIqlGYiMpyOSbJoJkIs5i1aK0JFy4EEVzgn0JlZOJNCv8El1EJWypv1I5rpE7SH/0ZEotJWKTsP8uTtyv+hP1wUCK5tKcU1C7+UiLSYSnqycGdPeDpzIPIwcpsTgtEpt3R6HP5DDiIpUhOz0Z59M84DN2IFQxh7HsmwUI+HAu7njqVQof0RdzXp5FCsnFIMtp0jgxGSeLrEj8paSBlJOZei7px5VoiTtlnE9J3J0OQRbb9h47FB3VlYguLkAJjd2+euw8XB67JDIra967JIiX+mdMm7rDPg327dsLZwtO27jD3l7eGEQB2kwdt7FzrtNnTkt6InwuEy9MwfOH2JTYae3Bc384eJ6c2J05hwxISk6SL13ylxfVIRTDxcuzrukk13Xq1ClJkZT1gLLoxZM/EpdUcg1fYMVUDooZRR9eS4mjE7OCq6nvk8jzkUhNSZX8n7DSblte0JnwSE5OhkarsSh69fbxlkyiWbxknFgP5sJY6Ap0AABAAElEQVSFC0hNS6UFOIXmavM+uMZ1tudzlWdnXNejD44H7sGuP7/HS2d2onOAAiWpyeg7+SXcd8d4nC26gK7bFmPFT7OREBWBvg7pOLZvD6Lsh2G05AOQHGoGULiGjsDuvevwkzITdvGnsX/PASQUK7F/41J0DrJDX688FOYTIZNfgOyMbCJy3FCamVV9LQ+ZaRkoLHJFSc21qnzF5T602NKCaWeLvOR48ih8DP19S5B5cBW2HT6C/pMex6TrQlGYcAhn6f7RJFv0joxFZpgnfFxpOSeCKp8sfdKLiOhV5iAljYLiBrLuRid45a/Eju/nwrekL7LP7cL6HedQanDE6l/mw23SECApCvuJsCk9fxZJ2T5w0xUQAZBPfmzKkJOcguyCQKjIvDk9OZuU4stJdyUNBaUhcHOs6xyxao4UkSL5UezedRqufRwRd3A7Vi1LQc/bX8DEXj5wLDHgugenYsmsJdg090v0DHgZvdXp2PX3RpT3645nH7sOzoWHEZN1jp7FOgQ/NpLGRjo5IUR8qgLgalNy6TiDHOHn3xmhhauwY8l3qDjthlyfm/DKAGM8CknZuoflth8dDkV+Gi6Sp+M4Gnt3GntmQUeoirORkpyG3LxC7D90Frd2GwZXh6aRI03L3Z7ftnbed45tNH78hBpfLU0dTseOHcEHp507dtbsLOMTE8mxlLPVFx52xJRJJplMwCiIKGHnWddff32z/LwwIcZEjZyO0IfK2sSZ3Je29Jf1icaOHSspRTenX+wzhQ+24smgBYS5M201MeEVGhoqucdvSKfF3BikgIeDB0u3Tp8+fVX6eTE37vqvOWDQvY/gaUcNVL+uxMnkIiTHOGPU5JfJf8oDCPV0hv+UKcimBXzhql1IOrkNTqPH4fo7JsLxKGnBaqpq7tBrCIYOH4ezS7Zi2+okKn87Hn26Kw5ujIA2uAst+slYt247dpzKIuueLGxYuxTuFUOQc2przbW1S36HKn8AimP21FzjfAG+/8Rd/bti4oTbkJC8DPsWvYe9vxJ3RRGKcfe8gaf+ORH+ungsWfkXIo4kk99eYPvCBfAiUceTU/pAm3gaGxYvwGl4A/mR+OmjufD69D8I7jkUT9zdE99uO4U/Vuej94R78O4b8fhqwSF0C3YjTsxJrP3pb9D6j5zNP+O13GRMCivF4t+Pwptok9MbfsDHKMJYjzOYu+YUvElyFb3hR8z388ZLk0mX5ZKkQHZSPH748FnMJweABq0Det//DN6fORmS9paTL4ZOfAJflCnx37nL8fEzD9D3zg6B3UaQJdV/MC7ECRmR5DnaToecv+bgqXX/haONPZx7jsCzb94B25QzZsY5Ax0CgzFmlCOWn0xAlu+dePp+R2wg7k1dPF612PaNATqc27kPS5ZWj33TD/hIlYsRNkfw3ZpIaewxm3/E8u5BeGJMp0tGbumCDe1SLfGr6paVWGeKuhx4Ks4VXJHFobF1U7/0xOa6RJ5Wt/dN+iWxCWlgpuzjJlXSgpmf/te/8Nbbb0vEC4tJLgfv6dOn44UXXpAWrVsnTZIW+ukzZoADuVkr/f3339i3dy+ep36xD4633nwTTzz5JHjXz2O9nPG+TbjdT8EfORCdSFUIcLTh7du34+aJE9GJFFR5njcXYyZeFi1ahLvuuksya2+LGB+g6OUJ8fEYQkEKmXgxJ2psbL9l4qVPnz7S/Gxsuas1H3t9LSQPurBzpHAezpLX2ZqxUkToEuLwlVbYwtnNCRfWzsGcRafQ897pmPnoYIkzAspTRHnKSXjhQsqoNuT8jmkbB3KPQOt6iySOOF1cTP0opzBHpLDtSJ5nL0fhU0febAvIrF5n6wwf8h1ToSlHcYUaHq7mOCfNHQJZO53dSYEhn8V++3swe/5/0FFLbh/snWlzR87pTKslb8bsAyaroJxiQJGndQ/XGiswFntWkpWpDXm7Lconb8Vk9u1O4j77BkDgcsxRZUupS9ozbt9C28bZWvK8UVslg04ruSjOJdawwasTOrrRgyf5FZu5lWTEI6NEDb9OAXCs9VXcAn3k2AqJyChSwTfQD452KhYX1kl6Ur8uLyN5XFYOlD6dyIEP6T+YZqpTohE/yPlSEYkZ8qUXTg97Zy8iGOghk+LT5VbdiNbrzaKjSZRF+LPMnS2O2ETVdLHhScbmwzzhLCVjnZfbb78dwSEhl4gELJW/Evecifvj5+8vLSpMT7M+BYsieKzMhZEDOBq3LetcNER/C50XY9RqzzX0wU0nwsOenI+xCb45jHk+Gc+X2tK1Z+1B54XFo4XkaI0JLeY4MSfFlFPE84jFS3xYSkLnpS46dkRk+JjxwyTlUtrBycOH3J5xKpcWQn1FOSnMsgt+0qfijyrlcaE8NTZgKqdmeP2QGqj3Hxtuw43aaKH9mZK4M55G0cltye29RzONdurttKRfwsQDbaJpYbNzcqH3tMbO/NJiFFJB7eSBjlVg17nPmxN1tf25Zwf2UNO4xOUatYG30HbjWmp6rkYRL6UZZ7H690WYNXcF+k1fikXThsLJjumwUqz9zy14e6c/vtq1DhODXaBqMfZHGTbMugfvbHLErLVLMLmXv4kLYQNyY49j7apFmP3zBtz35XrMGB8GV7sGSEmLGBHBlHQEP8z5L9YeSUJ+VjryOtyIj//7Ee4eHAAHW+uRLyxOyaDFXEOLCQcrZJ0WU+KF9USOHjsqeUy1NExjnRcmgswpY1oqf6XuyUQIj4sXzFyKtcIO1Hi85hbW8+TEjnUuGvJbI3RezD+xsjKStZOjP3YAyIu5OYxjYmKQSKJF1hWpLxVQPJW2rvPCxH8J6a2wY0MOk+FIZtOmxAt7GmaOVGJSYn1Dla4LnReL8Ji/STv+soIU0jvKQm5SAhKjTiM6rR/6+rte/obTfIvt+yrhpSkmPZv4RCTlkE8ru3zExmYjtKc37C57h96+oZF73yjiJTc+EudizpLGM+3otcaKago4k7G8f4AjBWyiKmnRablkAyfPAPgFVBBHx5zYQI/MmEhSojtMi5dGct5z2c1XZmHBy89gsfPT+H31rUhc8CQ+WnoEv2w9g/Hh3nBwa7oXwJbCg2X2/fv3t6jzwkqGN024qcEmjXVeGszcShkkQox2vnJiTgwHhevZszZGkXxP/tuvbz/w0VASOi/mEWKnbX379bOo8xIWFgY+LKV2ofNCbG9/cqbXt2/fev24sM8bfsf4sJRksZGlPOKeCQK6PBxevxybKO6OM3moTY+NpJhBh+H/4A3wc7icDadJO1fJT315PqJ2LsXnn6+Gpg8ZJZQW4bfPFyLw0+fRl5VkRDJylmcBjKCRU/Au6Syt3vamSS5H3P7JXxhbpoCLK4sxTG5f1k9H3ELa06NeUZKMktxHXzK/lQi/5XF82NkeO4+9e1ktyYW1CXvxy4Vy9HmKoqg6+SBs+nzYh+6CIawv3Dm8qBWTzGWRuRP1dUXOZ+6+XNZYrMTXLJUxV8+VuMZ9kPvH9cu/ja+Za7e+vhuXuxx9DnNtXg3XJNzo2fNcMMbK3NgawpjLN6Yec3W31jV5jPxXPjfXdn1j5bxyOf5rKZ+5eq/5aypvjHnkVem45rFoBAAKBy+y2noev9MhknkEGsV54aIaUvaRX165KoO+QhJjFJeROZqLHckvZeqFbOpJyzyPDPorSc3H3tkJKoowqnT2gB3Zq5eVs0msgaxKHCkUuJocGxWhVFv1EVU7usCB3EPbkO5JOYlIuG41EQ5qsomXqmf2I/kDyCWlIz3Z26sKyedC7YZd7tolf3VkjlaYn4cSCl3OTpcd3UjuTeHZZd0d7m9BTgE5/9Gja5A7tVGMQhtPjLn7/qp2L6mxdS+oaOfI5pqmJtCmvWBWOLPETT+uLIaR47FwPbJZclv5EHN/5fnF5zxe1i2wFGeG87HIw5zyJY+VdYC4TuZacah7kWoRYIKujPSKOOCeJYy5BM85c2JKFrOwfgiXLyCRZUO6IrWtt/4Z+9Hg/jU0p3guMQfGdE4xcSaPV/I9RPWZip1af1SiRYHAtYtA87/oBi3So45TuPOV+HqDDQW1ehd9PUiRlxVeMy/g71WrsOzXPxFHZl09R19H9vDnEfzoJ5ioPo1VW86RrX4OPIY9hCcn9UPm/tVYuj8KRXmVGPrwi7i5txeK4k9h75bVmPtXJT744VUMC/IgNlElijOisW7Rz/jfmv0UD8ILnf3TiZApsvgEdcSCO7lnA5YuXIa9OaSJXWCLUQ88hkfvnoAufqS4R3buxzYvxvKff0R+fiF2L/kJmj1OCBjxEB65qScROdbluvDg+KN75Mhh4nBZUNiifB7uHhhA4etNiRxm7bNfDv6Al5J1gEzv8UdZJjktgniFb7InSnn3zgQHKycfO36M9Hwy6m1ZRU6UBg0eRFr1nnXycHnWh2H9Bq4zISGBfCmw/0yRZAQYI16MT546ieSUZPmy2b89uvdAYFAg1JK3zNosF6IvSAqwHMyQdbFMCebanNY/Y6Vt9vPCKT4hXvpr7h+O88SBT1lJ3DgxwcLxm3g+sg4Q+3nhuSWSQEAgYB0Emk+8aBPw3XOvYG1MNHK0Q5BfRubKFIamsvAcvnnibqxMH4vXv12Afk5J+PGFt7HyfAIev0+DDkNvxLjoQ3ji47Xwcp2Ih27So+Og8egT8TPeWH8RzhMfxQRtCX5+mcqcIUdj5QOQX1opuYs2lMXhhxem4I+Yvnj9m18w0Oki3nzubehN40cYY0kmcifX/Bf/nL0V4597D/NHBuHEHzPw2VcvYk/UW/h51hR08SCukGsPjJ58M7bGLkdA1z4YONAPbmSzr25RCyrjjjXtnP28jB17g0WdF0s1Gvt52bb17xoNciZiOLCYtRceSaOdCBg58eIx6rpRFnVe5Lymf3ksgwYOqrkcsT/C6uOr6UxbOSHiha1uRo8aXa8OSENdlfWNssg/T1JiUpvmRMh+XkaMGGFRx6e+MbPS+MCBA6XbJ0+elBR7mQAUqWkIVHmqJS46/1f7utdfCWFs4Iz0t6W/UVWPz6hebot60tLt1AyusfVfAdcfNX1owklbcxdi2vVLNElMM9T7264b3vv7T0wf7Uzaz1WRJslGBMd//Yj0RtR49df/4o4hPdC113i8+ulUuHtVG8IpKXjgdYMoWBOZ0FHl3AEH9wCMvf1h2JPISErqznh97XLMvMkPbDbPFBbXHbXyayw6qcHDs9/EhMHdENz3VnLUczO83Ou3UdPnHMRbn62H+obpePGOG8h7Zm/c/+aP+EenQKSvfhcrDieiRO+BoePH4bYJg+Bor6b+3YiJt0zG+H4U0ZhMpNtT4t1gYw75BZVs+C9VKGr1ITMBxX3hxItCYxYGHifna2i8jamr1QfcBhpsDC6cpyGM+bnJ86kNDKveLnAfGxpzQ2OV51xD9dTbiWv0hq5Cg/ycdMTFxeFCdCyS03NRpqUwJfXhQQu4tqyE3GCkITElU9rA1pe1adfZk7cWpYXZSCaCOzOHokpLnSCxInm8zSBLqIzsQpB2QYsmHW3I81LiiMuZC21VoKc69TOhUKkpIwvXNCQlkaUr25FbI9H7riNfMtlpiYi7eAExcfFIJzyMAktbo1dm22w+56W6Ohao1BDQ+hRs/O4YKjs9heGhTjVO42ydnGmnX5OrWjZe9+Eo1M7EAajNw9XXrTsLW5fsJ92Y69C/kxfsVFV0l3/3AVCqV0sfz7o1VnUw++IpZJBDoQAfTwocWk2rKTrh9keHY/mnmfj7WDL+b3Q3uJBehIZYy0x7a/VVMYCMRlZVmRX/5Y8li46Yfc0iIXPydhYJsbk0f2AtJWbxy4n9XzTKjl8ucIX+so4B94XHyYsML4g8Xj54vOb6yFiw6KOh8Wo5ptMV6nd7rpbxZnxLy0rJhTqJfM0QsYwx57GEMYvnNPQc2npinzU8FvYPxJwYU4KL55w8XktjYR0frksQMJZQqr3HfsIST+3AvJ8WYPOBSDIBLoJf/wl4bsZMTB7WleL/yHl5I8JvKr3/JZk4tW8rfv3xN5xEb0ybORMPj/CTMzb/r6ECGXHHseGPb/DH2mgMuG8GZky/D/4U2PDchnmYM2cp3G57EdOnP4ZQp+bv7et2UIfs6APkbG4a9tlPxmcLZ2OAe91NcWVpAaIObcEvv/2OvQkGzPjmd9zX07luNVf8FxEubOV0YB2+/XY+DsTkoVhjQMB1j+Hjt5/DsEDrWduaG/plEy91KqUHEEeLj57spnk+1szJOpnM/6jaFZm/J10ty0V0pg4VAX5wpxgI8rSqoMnIyr8U28tse9nRZ8HeEPX0EIxTJ2IBq9Sbarg/xvfM11Q3R2v/YsJkL8U2Yvb1sKHDJPGR6ceXP6rRF6OlD6ul/uWRjoLxh9e0Hktlr9Q94+irvIjmVcc2KqPdSJ9efaRxm7bNcY9ycnJqODam9+XfrJRqPF75+rX8l/2e5OXlSbGNWI+D3fyb87DMPoHSM9Ilvzv14cXzieeeJQKnvrKtdb2CFNbZfwsTLuXknI/1eFgx1zgxQZJMsXkyMzKNL19ynphA3FpSehdz6hJozFwwoDgpAgt//RGZ7sPw4x+v4sDK+fh5ySEc2b8fwwZ1RcdqlUJDZRFSMkvJm6sLnEuzkZhwHvEFOdCS+pHkVsxM7U2+pCtDZnICzp3MQjY9Zgp9RoYfVbXYOrrBy8+TfB5RIFJ5gWlyA+YLKGzt4ebbAR1oI6Y246dFQ6bQieePE2cmkjYRYbTRrrtema+1Za8ayKgm9dxe/PDZfGSOewurPlFh1acvYtHF/VgecTuG3du9ZRu8zNqaTrxYokhoxyxVSAptWRSq0p8UXZV8TWLvm/TU5NnYVFZXTPnNJormqaJbNrGHcCGzGN19ySrJaBKkJBOrj3Vf1HVnnR153eXFuSCflAoraGdPlXMLquqdlx1bNlW3yX+J9qKDc9TTD7Odu/IXeac4oYHYRuznZeSIkQ12Zs2q1TUOyfgD3CZGStjLkVWZeHGnUAWjR4+26H49PCy8wbFyhu3bthMXsE2MslH9bY1MzGXw7dABN954I4KCguptsmvXruDDUkpNTUV8fAJ9cOvuJi2Vae17zL3r2qUrhlLMq5DQULPNMzET3jNcOsxmqL549uxZnD1zRtLDsJRP3GMEKhB7aD9ijuYh8B/hCO3aD+FPPIcBQxNh608RnWVbCDL0yDm/Bz/sSYNX2ES8OLY37rznASQkpmLFxdpvw2VjqnJD/xvuhk1WArKTV0ib4KpZq0b4zf/EJzc+AQN5i7VvyG9+kzqihE/X4Xj+x63Q6G3JQrLuGsVVOZOH+FseeR6ubiq8vOB0k2pvqcyG8jwSFR3F9iJHPDagOzp18cMjsxYh/FAC/IZVxcVrqbZaop5GEy9VUXlpElH48NrEbD7me5CeBVMF9h7oQnEeticvxc9rbsMrdw2Bu1qHmIsJ0s6Nlw/OpjBQqG1aTCqIfVhUTCxrQyHOnDwOrYZkkcVkvklh0J1sWXfDqG5HD4R7uGBL6mms3LAfg/xvQqCbGmUUlZIVdmMTspBXUAo3B5c6C5Vf/7HwdNmKqCXrcOTxMaQf0xEOxK2JO0zO7Qz2GDEkiFjmVdPXpqJqgSvOJzNbbtxyNAe63z6TRLAQ/jLR1hZGUUU48uwgslEQGlf+kRDRykRiS2Atz6cr3+nLb6EluCXSXKWuyMT25feq/dag15H5OXE2i8o14EDbDqS36OzsQIYOShhIt6SMOAp5JRUod/WFA8UtUlB8IbgFYcT4rjWedQ1UR3HOBfz1+zqciLbHrT3HoIBiJdk7eCLQ2ZvDItKiX0kxknLISlVLcXscqQ2KoUQbTylJ+jHk6oLKlJOyilqKseQEB4ombX7Lwrp1dUNAGMgFB7uTKKG1R0kiVOK9VHP3aXVj8WpRPtVPolGlLYVwIrE91WDrSPGFKMxBqUYnmdbb2jtKcZ00pcUoo36oKK/6/9u7Dvioqrx7IAmkkBCSQCC0hJ7QOyhVOqLIoit2/dbuqp9rWXsva1vXFfSzoSiIKCBFBaRK7733UEINJIT0wnfOCy8Mk5lJMZAI9/5+k5m8ee+++8678/7n/ivTVlQorz6Y+kPyjak4fJn6I3fk3M4UJKcSE5CUwrpD6fFI5Pk9t9xjTvOYRCoIvLx9LD9N74p+8GEEcMFjyUEmTaep1D6eqcDaUVkpPHc2U50wO/5pjiPxNPvzQc2q/khkjSS/sBj0vjaakb2ncJj+OiybS3wDGPWam9Ikd6waUzpTkSRSdjM5Cq+7UnBlpkE5W66Hz5rszFTWr9I84feMWqzEuRBIHF3fH88I2N8WirzkZJzG/t1xEIE5uS8WcfHNUb9GZaSdPIDYEyIZCQxHPYyWYXUx5InemPzqVEx66TYc2fwg2oeewqSps3CchEAkW5wzgKW2GwT5Y8G3n+PrsKMISVmLidOW4QQnx2/ffI5qmTfhlq5VsO9EFn8QiXRgOoykOtEY9OS1mPDyt1g0/BG8jdfwl3ahmPvOR9SqMFR67S+Y8Js/7rq+C0IDzoESUL8XHu79Gd6evBQfjBiPqn8fiFpn9mDkiKXwa/MQrm5Ry8rgm3wkDutX5hKoxQvXIrZVNfhEsV4Tic0fAdgG+o++66Gr3CWyyXtq8oVxZ8+Xf4iafqRqeUKnDJIFmSDkn+DpeiV8da3OOTl0bTIPyNQmQaOcNrm0SN+YJgQkePVQLsycEsaaV85ERxhrLmle6b0sY6y5bqUJKGBOaS7pejW3HJvmo8xK0ljpevVeEkTI8Rx/ts+qUXSAGc6nT5iIX1dswdGkcohu3gVDbr4B3dvUQ+bB9Zg9eyrGTJ6PtXspGOd/i5S4lWjVuSt69W6PsLPSJzMhFpNGDMfHo6ciLqwRvMd+jKTdXdDtCmpWeRt8cyhg963AaBYSnTR9HSo17oH/uecO9G4vfxkSjqN7sWz2L/hmwq9Ys/8UasZ0wdBhN+Ga7s1Rzc9W7XhAl8Tl9PH9TKcxE99P346Ijv1w/129EULSkZXOatnbVuKXsRPw6/RVSKlSEzEt6zOJaTk0ve4+1I2bjckLY1GxSjCiew7DwIblsWz6d/ht4zEEhUah57A76d9yGjtXLcTP0xdgY0pjvPX+vajlLcfYJOxZtxCjvx6NSYtjUYnmsuCAA7Qe1Hc72DMkS3HbFmMUI3knrNqHKtXqolXjmojuPQwt05d7HEuPG25FE584LJs7Db8vXYny0X1QI24efpx5Et3vuAXRSQswccJUnEipjEn/9z721K6O6G6D0aXGCfw8ZhQmz5qPY5kBqEt8r75xGIb0aAl6cNDRmS4daxbgu+/G4dele6lZqo8+t9yAG6/vh0ahFfj9cWxfNhejx/6AGev2wa96IwwYcjtuvaEHIpkfrrjytVDkJWHjFDzywQxUCQtH+qLh+AcLPH35cncs/s8rmJkYhvCa6Rjx2Auo9s1HLDX+Cl6OTcFbE1Zjz/xJ2F99MB5/7Ga89voXYCaI3AdccHP8/bauOPrNYvz6/VfwueJuvPVmJ/zrrTEIaVAHkZH+WPj5e5h51B9VamRi5PNvoNon76P/VSQtiRl47uNfsWr8J1jzkxfqkyGGRfgiKjIUkfVrUmPjXMAxEINfHYlyIc/iw5/G4NE7vqVjsBeqd74NI54dhvohdCzmyGY//yCGbzoEv6AwZK74DM89vhb3vfkc+jQLd6qp5HZeXdAvsviwXLp0ScF5Xpinol1bVmvlA9ixyXdh0+ZN1gP8KENbJbjsVhYfwvKhUJ0m+Vu4a7pGhUQ75+TQ9WykWl++HPp8nH4xuZpDdz1dntvl3L2CuYPkJ+WpRTeJdpnnxaotRZOR/I6OcH45zilP/ZXGdyIuB+gjlUH/N095XmR6bdigIfTu2ESit23fZuW1OXzosEX6HL+/7D5TExK3bjo+HPE5dge0wT0v/AuBsVMx6vOv8dKru3HPo4/hhlZhqN+sE67aeYBFdvcgolZTmu2asRAstTAO3NCb2czbtKmN5ot8We04HG1ad0THZo0QUdkXhwjsoUW/4MP1C9C8TRMEVKuM9XO/wY/VA1Gn8eNoXG4HJg4fjsnbvDHg/lfwt6TF+JJjePGNIziSSmfc61qiYkHSkaULlkwYi4+Hf40NicEYHNmemhMu7rySqaGfjH8//Q4ORd2Cf45+CNg8Gx+99F+srh2D5rdXQePwdqi76De8O/kUrms8GEPa1UGDmMZY8tunmLI6Bo2vGYKqB5fg/cdewqL4dES2roQkKlfOlEvFnlW/4L0n38Rh9v35uJdxetVkvPjSCCDK/Ww6fXgrZo/8LxbE9cWYCW/h1LKpGP7JL8jpcDv+2snzWOpccQWOLx2BF0fOxdETKZQRKynTmdA0OxQbZx9Dp2Ed0bbHcWz7fT/qsyRB60ZVUKl8HGZ++Q5GLMzGI6+PQevMNfjomefw8YFtCGn4PfqGp2DTzHF46dlxCBj6CEaPqY3FY97DS/99D2uP+2P0E62wddZovPrWLDT93ycx6p5kTP6/N/B/77+G1fQ5Gv1UP7iworkHwOGbQpGXkDY3Y9bcmx0Oy/143avf47pX823GgCc+xZV/O8YS4V4ICw1Gub3j8B4dVs75klRAx7s/wPjrqFHJ9kU4K2V6ZSej+bib6etAVZOijjp+jSEv5e+7zfXPYXK/hxDPGeBXJRRBvuk0FzFnBTU51nH5D6GqrzqufXwket7B81HFVzEghKXLFV1hz+oKuPbzSbjW1bFlZJv8Cbp371Fgnhetjp1XjbqECNZ1qV4911t/1m8zZZuxrkz7lgVHS43BXtnrs5KFXUn/nSYe6upof/sYx9ukbUrUZ/e5dMlSl5g4HnM5fpaAVi6dWrVqebx8zRFXOLdo3gJNY5paAv3I4SNlGmMVnaxTpy7a0+clKsq9dHD12xE4MlO0ad3GIsNbt26F6htdzu1MSix+/nkGFsRH4t477sTVHagtaF8XaYcyEffB15g3MwptWzyB9p1rwWv/OqzcnIFGTXtg0KBWlgbeEbvyvpURfeVANGYk0oa9NdCEucC6tQ2nivgQVnHH8r7N8Nf7nsAjD/aA957p+Pd772NHOk1NLCwau3Eqlq7Ygdrt70bHhly8JrdDrSZrgHHbcGwLXwNboFZB7IWlC/re/zjCQs4w2miyZR1g7CNOHdyJeeO/wbawVnjj3SfRuboXMmsHISVhF14Zv4fPUG9UCq2BRqzV5PX7UvhzrF7eFVGjQWu073E1pn7Pfcr7o37Ha/DGt4EY/thD1vV4cwmffHgXFv00GpsCm+K51x8ldH5IDR6MR+nT+f58d6YjRsOdTMCOTQeBKB/klPdD485X4bbsBIwn2SpoLH5VozDwvlcQyKCXu56cjOZd7sc7798A35N0yA+szXxnKQjM2Yap61PQqc/V6F/fB8e3LcWKHUcRFdkXnelcXTnuNNp1j8b6tSxizGKtJ/dvw7yJY5HRtD8+eG4o6pU/idTuvVFj1hRUScrEibitWPjTN0gJuw1DOzdAUGYCorv0BWaMQ/KSxYhN64sYf1sOO86Kgj8XirwU3E3+PYJY4tzOBZuaxmyU1Cmfoj9LFgWT7UsSGFb9XBl05n+hhqlQrUJgMGqcTQkDThnyo0K1885XqCPK1k5SabsykRRmlBI+ecfys61tUdr8sqAC1/S1nWo1HuV9Kf8HrldCyJ0gKgxel/o+wlpzQBjlzYsiXrTmlMxJ1vHsiwyniD1cxN05Po0zb7xFPLWu1SZw9ryy/y9iV5fE7snH4pgPJQ7lAhqicqAydrGVq4LmnVqhGf0IZ+1nyO2BBLSPYKgQiQBAGWC9tGP+lsWwH2mXrWykDvVe5JkS1olajm7RqOZLPhPK3F+UG1aXZ1Jx5EA6jhzbjc1T3qa245w4q127BirT3+RMJudlQeTl7HDkh5Lri8IPZxIRv383Fv+ShMDrHkRzEhe18ky34eN/9nq1m/KznDXDWzvwj/Xsoj+JY5Oi6dzoMnA8bg8W/XoAgdF3IyYiN+qtYkAQqkbF4Mz8tXlzzbEPja5ioD9qRKZi2+R/464Na/DA07egU+theDGwKseioBWyGIfmPBYv+qtUC6WpqWY4Gv6lF5qEU8OoF1s2S+Jk8HgVYM5k5BGBQ5W6LfBXappaHs7C8XXzMWXGT/h47DpUjW7Pe5CCk3R8Xr6cPjM3tkB13h/meEeLrrfi1x/7IMs3GNkHlmH3jpPYdfJbPHjjD9rBarWZsTu8amWcURRwWSMv9iCzUhOxYdMe6ckwb85y3NGpLoIigt1rSewDzft5CEjQKMQzNS3VStPuSuBI6MsuX5AmRSYUy0eBfVrihu+l3eQg7Sgg+Eu0VPy6HgkcW2A4jlM+F4UhXsbnxRG1s58pjCUsNKeEo0xwroSx8LfnioterE2Wf5EeetbCxN1epbtdY9N1yHyUzhWjSh04X69+Y/peL09NYdK2Vs/Tfpfyd6eZTC35GE26ZxrSWfPc86MKtXh6VTgg0VcyLZ1kJoOOrmoiQNn0UbFaZhIOHWZdrZCr8HfmjLmvf6M88pFDZ+HsHD7dFKJanMZaeGlpp3GQ2nn/itQ8FqEPPU6d59Z5h9NBOeVUAvamVoRvBBf5Z1kNvdCYHE8usSRJ5yA979DgiBj0uf55rF75HpYdn40X7/0dUU3/glc/fBxVz+dL1nH5xiJrQwUuOPitxTXO693xn9wrLufNPWniWjvzK4xbHY82HdtgQMMKWKld9Yzms+M4yY4/nxMW5+RhclwOi6ht5YzZcuIYdidH4qq//wsfP9g5L6fPGZLVbP7Osot7f3j6c2TQcdwl+Pngom/w+pcb0CC6NXzivsHoX+vh6Vu60TGpkGqWEhzLn7krPVA3rN9g5eJo0qSJZZN3/oHIh0F+IrZjrrvrVVIxCX01Hwot5cDQRCzNJsFiF0+UwJSz7pbNW+ircgaNGjWyik06j8/yuTgYx/F7FjbHjtPHpwwLVufruhj/i/wqz8tGzinNmyaNm7jMpbNr1y6rlo8EvrumPDryebHnlLv9SnO7EjMeOnzI8oUSSVF4uHOeF/1utm3bZuWD8TRWhYZnZWS6JNSejruUvvOmAPSu6I1U+k4kpyRbgkuZK7xYb6w8BZ4PX14OqSzk7CjcC2xntXfWvtqfL4lR52ed5Tzp7cucX4yy2boQW1asxP5uUajD9Byqr3d821qu9nNQrVl7RsDm6VMKPH3eDmc1bV4k95lxh3CC7gYBikrlkLwcnyUuLok6OqqIzvZ09nry+rU3U+PpzYV98u612JN4PZ16z4niNEbkHDl8GmiYP0lddo43asR0w9vTO2PBD1/jk88mYM+2KXj7+RCMGHmT82k4Etdj0dM/zWlsgjsXZ9vFIwfxu1fj2zcfxs/x0Xjpw6/QI/goppZfjZVLuK+l3aY2iNeRxFI+OxOuQasqXBSQXJ48GMsAmOXIrFwJoQlHsWfGdGy6tTVa0I+pPMlOyvED2LZ6LbJbDkT7GoVwqs53ZReBvNTt/TCm8HUpNj2sXWlALsS1SvvQoGEDi7QEMcws34+ZJ5UPQ98+tCcW0JYtXWY9SPSAkEZDxIEdFnDUhf1aWMqUoesS0ajE0L169aIQFRWVr8ikPRLV1rHr69jbXL2vWL6Cmj4HD0FXO11m24SH/Dii6tdDZN1Il+RQkETT50gvT03kR7WNXGnHPB13Mb/TvAplvaxGjekISv8v58KlGovITKtWrayXp7GptpH8Xlz9Bj0ddyl9F1SrIarVbYDkuRuwfuEaHOwUidpUtcTH7kF83HFERrZFVB3a8ynIsrkkz2YkaUYKXxSQLq045WjSYyBFOToCpzDZadxhCkWabrQw8SrvwxX7Wc2L/A/43MrMoGkjyx/Vo0JRI+owZsyZgqr1InBbr6bwTz+ISeOmILFSI9zUvpML2KnjsLrhH7IRfbbfcwkWt3n5sVxNEK/pJJZvn4AJ867EbR0jkZ14DHsPHLKen9b9Z/6x8mdIavgMTWWQwWmaXpIO7cd2OndnU1uUxOtOzfDhWdgnL8GqF+RVAQGVgtEgMBNzjjOSafY6NBjYDN6MJk07lczrT8fe/ceRkhYKP4Ytn3syZ+PoppWY9tEoRLwxHIPvfRrt2rfA+0++hC05Cs8ueCwp6cpkLg3PGYZWM1KYV24/GS2iw3VgZibvAcctRnqcJQ3mL/ZG8IB+aMMMu4kHE3DsBLNLMy9b6immFGF6lHaNM/Dtvln4dFQ7PHPLlcT/KBbMmoZvfvfCK/9sg4atszB31wy8+3EzvHBHD4SWS8KGBb8xsmkH7h85WOAXq52je8U6/PI+SFVq9RD0p21VguBCPrxFklQxOixUWQ/+WPMhEVKVXTU5MoosFGpV9MdO6/FokRdpgdSkZfKnIFG1aFdZXz125OLLy1nIuIDD2uTN+y4CUzmoslWg0d1+hdluzSHev7Ks3dL89qevQmhIqPVbLcx1udtH1ymBcrEWLu7GUZrbKzCkuRdNCFuXLcWSpT/jx6nVcF0rfyye9Ds2H2mIfsMGIDqUyUHjY7F1YxwOsSJ3xb2r6QcTg+iqgQigUHZsFSpXQwNGs/rMWIXJX72HWeH10KRmCFL278WuhDAcPcT6RkmBOH30MKPbTmLn0QPYsPUgbmx1BZp1XYuF38/Fp0/uxNzG9Zih9yTiglrg0Ye7oGY+2xVD3lNO0F8ngcWEU+FDrcDR+FP8HaTgGN9ztzH7boI3atVtgj63t8f8kcvw2dN/w+YB1yI0dRfDtRchpE4MvDmnvJhTJiS8DrULEzD30+GoltwCxzf/jqlzNyPljD9++uorhNzQBw1zjuEwHVhTveJx8FAy2tSNQb8HemHWiJkY/+5jzH/zD8Rk78D3n/xA0381bFz0M2ZElMOgHk3Pc3AuxzIGu45txvgvpqDuHVfQp8cf1SJr4IhXBMIYtJLlaSwjR8K/X3MG0KzFauZcyV69Hvu61UTtMNqbaCY7Si3rdjo5J5xMwtLF69CvLgmVXzDqe5/E3KWf4a3/JqDKiVUY99sOZtROw8v33I9+N9+NATcOxo/vTcHUT57F8sWd0apiPNYc88bQJ95GUzLa+KHDMPaNsZj30fPY8F0MmsSUx6qDmeh170uIdmHqcpwXnj57vczmaQfznXsEfp46FWPHjkU8zTB+JDDSHIjASEtS0u3XX3+FKuL6+vlaQiJbNkMXLz2kJaydBbbIgbU/3xcuXMT06I1QtWpV7ORDRTk/6tevn5d1t6THXpj+ZJ44lZiIpk2bWrld1nJ1G9OsKTNOBrm8TvtahLfztep80iZpn3Qmz1owfz6aN2+OqtWqFWYol8U+MvVs3rwZ9ah5UcIpV3PJ3iZAXBFzG2OZ+RYuWmRlQ9acKotN8yuZ11wnsi4qsiisfW3O7zaJd55T2q59s5hsTAX9TtDkpigt5zD9snjtF2ZM3ghv2BR1IyrhKFPKT5syFT9O/JUagAj85YF7cGv/5oxi2YBvPv8/fPrrSpoPfHBs7wZs2nYMwRENUa9WcN6K3xofzU1Zp3fh0N5V2LKLJVBaN0NIZiwWzFuPrFSaHY4mIzktHst/n4bZy5idN+UwTmd7IaJFH/RvHQXQdHGQhR/TmCW2Ym2Gbt/3N9zUvQl8z6ktzsKQgg0zvsH3E37GzjSOKZbPHfrsZBzZijnTfsO2FHDbQSbFC0CtNh3QMroRr2M3tu4nIeLLK6wzhvYLx/qdCeg0cCiJWACT5fnA7/QmrNi5jdFSCfBvcz3uG1QXW/acRstOHdEwNBOLv/scc4+w+GxaIvYSg2Z9B6BlTDTCzhzB6i37sXnpfKzZtBUVQ5gsLjAcLdu1R0eSwzpM5XGuMdfXicMMZZ6GVauWMM3IWMyZvhjHQ9rh/hfuR/OqQR7H0rwNtVIpezD221lMNMdaeQd2YWtcEDr3bIyULavwzVOPYeyWRPh7KdvxKmzdm42GV3RCtbBTWLYhFvtZTLNck764tUdN7NidgRatBuNJOgy3aByD2n7JJJP7wPAipPlUxZC7n8IjV8cwAWwgqtduzDpRqVi3+wCfIwlILheE/rc+ghduv5Kh2OeurqifyvFHaSnNinpg7v6qOGvbyYrXQ5GP4gk1YOeHS5H7KaEDlORrPoXjbzNmwD8gAN2Y0l4CODAoqES1MY8+8ggGDb6GE6max2sP4Bjq1KmTj4gkkhhIUyQSM3r0aFx/Pe2srVtjBsedwhwWVw8axORCjj+UEgKokN3MmjmTPgmHMWTIECgnzRdffIEePXpYKn53XUigyqzkPG5N6VgmU1RGx5S0FIz/YTzuuusuj6UG3J3jUt1uYfz551Q7t/eIsa4/nGUEZJJ0JuWaTzIZSbU/6quvcfc996BZs2ZlErLp06Yxn81O5hNp49K3xx60NKi6Xuc5JR+so0ePMutoIlQeQP/37NnTmn/2sZfre3pyUm5tK5pagljWw0++IcVstglbkYZFkmvZ6czAS7MNg2QqkYwHcJFXUi2b8zuRGW2zyzH6xvc0lkwdgadGbsITH43B0Ea5z0zVz0tkja9sn0qoyizzmfSVOZ1ZgSk5PPt2KsOuMhSf4riDQiqjQrl0nE4px+POr7tlX4u0flk8Rn4lSQmMDmK4dnBYCByrGRR3LPY5nN8V4CHn2jN83krLqgAIOen7UF7Y+jNlSU5PPoUTyVmUfSEIZBbh8xrNgZmpSThxis7yAZV4ffn9ec7bvxD/FE9FQFtZBqNeklhWPCGtMurWrkx7ZT6KW4jTF3UXOvoc24cjSd6oVqs6vcCdE9IVtb8/vr9MRv3797deWt398ssvmDRpkmU3v7JLF1Tng1Ckxtk5sKhn9vX1ZTptL2p4/DySF+3nitgpxE/HirzIJCPTjIS8JmMGP5d20xgkHDV2reR1HcJWY3bXpLZ3rkRu76sqyVn+ytCcRfbvuiq1ve/l+G5HF+ndE8bCxocrS1eaF80d3SNpJKxyYFrJlNGmaDbNr4BK/C16mFMVKubPrqtL0lyzsfKynFHplMrrN40+LAGBjHTJy13xhyBxJsiF7syrIgKYnuNCLL+Ugj8kNFejmM1Isyw672ZmMStvCn0/eEbLhMjotZDw3DxaGrOPHwW0+0dX3mWVZ98BNI+fGzcTs9o5RvL2OvdBv8MKTBKrFhKuzDL5m9LvF2cs+XvK3SLHXG8+Q+2mwAp/J+tCOZYE8A0KRYS7sbNelE9AFYSfu1C7u2K/F4u8nMmMx4rffsaoEa9iBh7Dkp/uRw1GD114+pKKX1+6Hi9P98dLk7/HNU1rnM1+KzZK7+OSLgVaRFhlenmEGhKtyqSNGfnllzTz+KF7t26IoTYmiNoYreiKYyuXMK/BJHP169Uv1vGBlQKhl5qS1YnEiLzIZ0csurT9FURYJAxEXjQeqeOlVfFUNNDd7VEfdkK+Y8wmLNzLctFAd9dxIbfb5EXOq8ooW5wmDYXd3DmR29+X9rvmtxIfuqomXZixCa8aNWpYu8Yxwk2aq2IL2sKc0OxT5hA4w4VQAktR79p9iJqY0zS/r8Xgxl0Y8WRIbGncrGKRl5yEw9i8fjtW7qU6SYEIF561nMWmHAJCmCk2gg6dPuf8OnLo3bwhtjxiWCJAVaJLu0nL0q9fP+u1e/fuPG1MS0YyqFKyHvqWVoH7FbbJpyaVoZx6CLsjP/quoBwVOp9Igh1OLVIkVe0fsh4W9iI87CfCIo2QppLGJlLlarXv2IXGrZcrTZO9n9K6WyporpxNO4eA8NVcKYi0Cl8R3YKaVMtlV++S6wSueeKJcOg3oOstCBOZirWP0bwUNCsure/TTh7E4qlj8d3vSejcMATl1n6FCYtr42+9GlxaF/onuZpikRevas1Zy+JlBOyYiBeZp+jiPbX8MeCl79Hln15U/0q9y3MzE+DeWZ/h/nWdMeHBbqhVBsiL472vV68eHn74YUsg29qYChQcPejPERMTU2htjEwfqvcjYSy7vKuHsJwwRZYKyntyPP44QsPCrAewrXkpC+TFiiyigBF5EXERoZEWyx2RkV9LAtNly2zhrskvQ4n9TDsfAQle2a4liFNSWdmdZjZXZFE5TZQXSOY3T+1kwknFgXrapVS/E1GTds/WMtqaJ8dB6fuDBw+yFtZxx835Pu/ctdPSYhrykg+aS3qDHwsPX/Pw23xd0pf5p7m4IpGXHJa1PskfNqt3M4sehUw6n1fOWpcc1pxg9sAExomfoR3MnymPKwf60SeGESB8OKQlJSKDtSyCfBgDn3DKKmFeMbAyqrCMOuUWO2TWTzqAxdMZKYfx/f4kI94ssx7E8trMCYo09nGasqgCHYJ8MpndL3Y+3nv+R6ZwboEUlvROKEdHrbMPUWtoFfx5LJ2mstNYTj3d0jCUq+CHQPXnPHaH25bNvtPTmK2WfiY+dP6qQGHqaX+HQ11+lIajb9++1mvv3r2sC/Izfpo4EdLGdKNZqRojYWRScucbo4ig5ctYefvkCVx5xZXW/s4aB50jvHp4gSvH6lR/60EtwiINUBoJQmmTFxEWjV8CVATtyJEjWLJkCfOQRKF50+YunSwV9qroKyWyc9dOJ522jnVF9twdc7lsTyLOK1assJKMtWrZymVYugilEpIpN4SnpjBk93fB05EX5ztpjxRZN2fuHMuh3ZX5SHNEpiX5vXhqgcxB5MPoGBEg0wwCBoHSQaDQ5CWbpcG3zJ+ATz8bjpWxZxAe0wj7l6Qgow0HbpOAnDRmNlyJ70ePwphZa3CK9Yo6sEz4PfcMRauwbGxdvRS/ffsF9kXfjpubZ2DyyIlYuOMEOtxwP/553zWoXtkfOad3Y8qnIzFiygKk+NZBm2o5iLj2KTw6KBrpBzZh4W8/YfgvWXj9s6fRLHs9nr/1ccw6Go+chRPwRcYSel5HIF3VhOlUl8kHVo1ON+GuvtGoGL8WX38xHfEkMNWu/Ctu70uBqHre+Vo2C28dwY4Na7GVoV2n0suhdstu6MQy6JV9S8ZBODIyEn//+9/ztDFfMf5eOU5EYhSt4co3RuRGD9ZevXpZQj7fsLlBGoqIGhGuvjpvm/aRzV6qb5GXlBIkLyJBzqTqvJO7+UcRTyJuOjadRKYZfYS6Eg/n6r6OhwcHBxeYo0T+CcGVg5nx09W9duzt8vssDZ4VHechQkjkpTC5dnTvlCqgrDaZWqXpvPYa9+VXtY9+Y3p5apVI1FRawWhePKFkvjMIXFgECheNdiYD23/9CEMf+Q9Sur2BcVMn4Z4Y1n5gAQYGHp1trL1zcBYeHvwgFgYPwNfff4sXe1fC8h/ewA1Pj8HCiZ/i+ZdexcfTVmPyB8/g70//B2kRNRnydRQT//sYJm6IQyofCFt/eAFvjkrB8//9DpNHPIDguN1YxLj4tJS9+PLJF/HmB6Owc/1mJKRkoUKVhriuXxh9JcqhflQ0OnXqgm4dO6LmySWYPPorfLOlCjq0qcPQPa6SajZGwwwm/pl7AlFM6uPONyYzeTfGvno17n3yBezz4UMs9jv885YbMX41y7qryFcJNlsb8+577+Hee++FopXeeP11jBkzxkpTLnW9zCZqlaiV0Wfb0VYkwd3L1RAd99V5bW2LBFMSzVGF8Wtw1a+1jVqteBLGQ3H7abY6irTMovs/JHIMgWcT/SXTlFHxrBbGcdzOn92O5+wX2l+YaYUsvxfT8iPgjKmr//MfJeXm+fPPSnzI329B/iKu+rqY25zH7ep/T+PR/iIuomnufM88HW++MwgYBEoGgUItR7NPbcC7z3wFtH4Gb/ztKoSzfkSdR/+F2aOvwcRkDsSS6VlY/PkTWJnRC58OaMl0zhXQdtAw+E7eBcyfhfSXv8TY9o3Q56ZXcDxwIP795Qvo2jAYu7//X9z02hSSEUW8pGDTwl3IrBrB9MWZ8KvRAf94YRDuXMMssD718OzkHxH1QHe8Pj23roFXYAQzID6EgCkvIqBBe3SlH0nVQB90iXkfa7fei+nLNzLunMX7+MDxzkrCOlYd7fv0g7iicVVUcKy7YWPJcy776nl8OCMD9348CXdd0QAB1zbA/Bl3YtrCHRjcnCXX6StwIZq0MQ899JBlk7d8Y6SN4bmkjVGCNdmslAzvBHMJyOTjrukYaVMc/RckUOQP4yhYTlPTof+l5bEdEN31WdD29EMr8PEbIzFz5VzsPdkXY+e8jQ51quTlACjoeH2v61JJAAmE0xyrNE2nGZboqUlL487/R8fKz+EYc3MICyNoXCDJ38UpYq1cLZ6atCrS6jlq1DQHZeqz55TIi/xJRIId556nfi/qd7xWaRgLulb9fkTunc2Mui4RYc2pVJJrRRGaZhAwCJQeAoUiL4dXz8Ai/mi79GnNCpjMraHxVqyJdq3KYYocdtVyErFxNVlMxfl45m8r8yxJPr6BDHdlYjXK2xxWm6zAWhBNB/VH8wgmuGFHNVt3ZAz5jNw+WOcyolUYAhb9gHuu3oT/ee4+XNd9KD4cWp15BEQasiyBaJ3/7BHpHJeVto61Ls6yKCC4De5mWudl77C+wtS1aHNfD/hsmowJFTvjwza1cwtsnT3e8S0neQvGfb0NWXXvQq/o6vDjAM8wJC5T6iXH/h0PKuHPEhJ9+vSxXrH0jfmFmXUnM2+McsXI38WH9vgwOts6CxN7GDKRtGzZ0vre3qaH7tp1ay3hom3HjjL9NUOIJXgkkOzVp71/Ud8rVmuLh5/KxPq/rEB8145W2HyhJpbDiaQJktDQeBKYCOzosaPI2cDcHD7ue1Lumrat2+ZT8+t6dtC/QZqrDZs2ok6t2g5nMh9tBIT1ho0bLGLrLl+O9m3QoIGVTVaVmO126NAhxMbGWhWatS3xdG6iMkXrlDVzihUxxbl+mGNesXKFfQku32UykpO9/Kkcmwj+Tia5U5HPPbF7US8yyvFr89kgYBC4yAi4lwwOA4nfsY3moWxERlTmqsqROnAnK7SQ76mHsG5HDoL7vIBf3xmCUGpn7JaTnor08hXgm1MfLZiUZzfNCnJAzd+8cMXNb2PwrKfwMx+M37z1ML58owNe/PQ1hhcH55UOz39c/i1trr0TMV8txYIPaIK5uhEOfzsKvkPfRN3QXNKU/wjg5KbFWJKRio7XMiVyAG343OnEgR3YxYyGkXRavNitbmQkHnzwQYt0/PD99/h+3Dhs2rARvUluYqJjLH8Q20/E09jkCNy9W/e8XRS1tHrVqjxTkUiDVs0S+o6r67wDCvpAp2ic3Iu9dJztw1ocVfzlXF34plWto2ZEGqZhw4ZZOV6KIwh1DcoerBbH6JFarCCsazTtfAQUcdaiWXO0adv2PLJ7/l6u/4vk3NTLbokJLKLHhYQ0MpqTZalJC6f5KOf4Pr37FGuOy0lXc0q/EUW48UNZukQzFoPAZYdAoXxelGFQbdbvO1kh0w5LPSuedh7ASfk4+AajDsuFHv/pByw7koh0+8fNUOadsyZi8a4ERgrRJs5+nPmP1bn1LGAG3bQq+N/xP+CL/z6PHjENUaXiCrx23ztYfSiBehcPjQJLzVZjI6wd/j40BpUD5uKTEe/h3/OAh7s1QWjAuUyB1gF5f7Kwdf48Pny90KN1zdwU1znpWDl9Bv1tzqBNq5r0k7n4BEbDk5alV+/eaNuuHW677Tbs3bPH8o1R9JEnE1LepTl9kKlID3Qbq8ioKBxkSLGET/EasWOV0IyMMFzZkj5GRQxXV2RRFSals1X10rxkUghqtatVs6um65ZGSZFJnl4naRIRcTEOu/lRrMx5oNxB7jDOf4T7LdIGJrDej0xJZa0ppb+uUaRW896df1d6Rro15zzOJ16j5p7SHZhmEDAIlB4ChZLG1Ro3Y7GmWdg1ahyW3NkS3SJD4JOVjMR0lRPfgUMMf44K5CquWzC8pizGOdkc7QAAInFJREFUc69/iyrP/BUNq1RE2tHVeOvNCfjrl71RLjkRCdTgVPTKyatbYSW3InFJowNuTg4z6D58L9L/+RGGXHEzvp7cFZ898Bd8MO8UUmi20aqH2l+aiaS5yQVNaYmV2zcri7UkkuKZAdEbkbU5Ppq32g67G9XHb8KinybCv9uLaB1Jc4s7v83sw1g4ZzsywxgZVZfJ7ryykbx3Fr78YSOJWV/0aEQzUoVCcb0LcjdVM0SF5bRavv2OO6xziGw4ayaEkR6uevfU9L1NVupTTb6Xmq4WNDcVK/yT2P0+YzuyqrJQWfVA1/5EHgYjdXxU3brWtWhMyj+yiUUDjzEsv0XzFpZfjvPhe2lS20MSJ4Hjqe3YsR1XXnklzU/nNIGe9r+cvpO/UDKFufyh1KyIIfoHOTcJewl/T3NKUWEbN24sk+RF5sPj8YxIpPl31+5dqBdVL9+c0vXt2rnLMg1ZahpnEM7+L8K8f/9+q/yHm13MZoOAQeAiIFAo8lK183UYGjEOY3ZPx733BOHdZ6+Fb+zPeH85c6FkH8LUkWPhf8fduPLOB1Bz+X+wa/q7uH7aTPQfUBULl62D/9XP4tWqFXFk7RrsoGD1P7AfcSdOoZJMSLtirQfj74vW4taO1ViP5ije/fhH1Hx8KJqE+CIsMhzB4ZGo6s+aNwmHsO+E6tUk8gFyGEl0Cg1hFFEHliaYPGsCRiZPxpycAfjx2asREcLcMtWvxFP9I/HY1ykYeksXhAfSp8INqOn71mPCkQxUbF8dOadO4FDGHkx6+RXEshjXzW+x4FwN5nZwd7CbPktys0w/ysuxYOECy0m1SeMmlm3e2TlSxEVCxDYDeRqDEnLJMbZJdDTG0SQlbQeTzXg6xOV36XHE7nAG6g5tS3MbM+O63Mv9xm1bt7K6cW5VayVFkyaoZ48eljbG3VGNWBVbr4LayhUr4UfNi6NZqqBjLpfvFWm2nb5BacpuXMkfHdp1sPypnE2HKrGgZH+aU+6ahPp23sfTV13lbpdS2y4n3QjmNurJsWm+u2rS+imUWi9PTb4+WjnJKd40g4BBoPQQKBR5QflI/HPcf5FxyxOYlTgf7z+3EN5NGiGkqh4EfI+IQs2QigiLugtfv5mJu18dhVPJR7Bu3TE06v8AXn9yIMIzN+OZD6fxRx+MzBVf4rlRlfB42+N4/+PZLOwVgsyFH+OLmJpoznLgNTb+hOf+50eE0Lk30Sscd751L5qGl8P89/6FmUdZuKpGJkY+/waqffI++reshR4D62L99C2Y+XtXvD6qF8LyKmL5oFFThlKHDcSAljVZUsCdWM3BvrWLkJVGtc7Kr/DsGytwkg915LTAvW/8Azf2bOTWyfdi3ToJFOXR6N2rt9sHsMYizYlqArlTjdvjbd+hg7WCVF6ZyMhIyzekeAUaid3KXOz6da5vFcu0z1HY983UssiPR2PfsmULV8ZRVt6bwh7vaT9pC5yFsaf9L6fvVPlc4enSTKnGkbsmJ1bdm4LmlCqU29o8d32VxvYTltbljFUv64+eX6ZMFarTYsI0g4BBoPQQKBx54fgq1GiP1+b8hkcOnWDmWz8K0MpM5nYc5Wgu8vNmnaGz1xDV+17M7joMx07Qp4KOnGEskellqaI74P0p0/Jdac+rHzlvW8Zt3XAL88ekJiYhKS0bgVXDUIk+FOp/wLNf8nXe7tY/1z47Gf2fyEB5mgY4FGbyTQf/Q/kzqVgwey0a3fYuIoMDrO/yH80tOXRgnTMD6eiAj8b8Cy1DmYyufEUEVqkEH5cOOi57ueAbpWWx/VTcnUyCWkUNC2qdO3fGNEYySVOjVaSEk/wB5LvgrM3x2NeZJKyenYtd6yia29wSRNe9aDWvVbtMGDqviExbOpCKdHha6es6ZTJzRUxkAhBOFlYyn3Ff0/IjIFOP/Ds0Bzw1+VzpVVCTdkPCXfetMPsX1F9JfK9rE6FSnh+RL08ETPNPGhjnOaW5aB+rkH7NL+VdMs0gYBAoPQQKTV5yh1gRVfmAsptKkLtsFYO4n7va2C6PyNsoIaoWGErykLe14A/2cUzRiw3zFyDuTBCCMlbj36sq4NkHGiOIpiV3Lfv4Fvy2KB1ePa5Cg/DKCM3T3Lg7onS2h3AFLOdWrfo8mUH08LXDjh1HKmEuwaKHca1atbCTSfFswSV/l+3bt1vq9aLksMhJ3I2ZSzNRrvtVqFWZ+TGKyBO2bduGhg0bWkRE49u+fZuV12bHTmq+PDQRrjp16jBBYX71vUxPCiuPPxFv+cR4wsrDKS75r2RCOUkHVEWfiXR4asJQvzFnwS5BLnKgOaWQ6lj6Iel+Vq3q5tng6SQX4Luj/L1Io+jNubVp8yaPZ5CGSdmnnYmXrk8ZqVXzaMOG9SQyOZDWyjSDgEGg9BAoInkpvYEW+sxpu/HuKy9i0d6j8A2ojOZ3/wvd6oTB153FiDFMO2aPx+rs8rhpUBtUcRuNVOgRXLAdazLkVz4vR5l4zY7McXUy5T9p17ZdPtV2ckoyNqzfkEtg6PYsM5SEl7QtCgOdPXs2sxR3KlICrhPblmEtnan7dGkKf/aXQ38AryJoq1atXGn53KjwpJWoLqCSJfiCqwS7urS8bco54kOfKVdNWhzl/jly+AjNIYwcK2Ohu67GXBrbFHWmzMbr1q5FPE0rnprISH36JTljKefVuENxyEjPsJyit9P5uj2zXJcV8hK7bx+zeJ9Bk5joAjWSAUz7r9+Oc5NGJqBSgOXwy64scqPSFKYZBAwCpYfApUde/GvixgFXIH7VCVzR/1bcd3MPhke717og5yiWL9+O0M63o1/HuiwEmf/hVXq35/wzN6Dw2MMoG2Xc9WRz1+rYWcioJz2clcDOMqfw/8OHDmPjhg1WPpWmTZvis88+syJP5MjpvMI+fyT2f9nYvFDh5Q3QOjQOSxaXQ6+eTRHEPC+FadICrVm9Go89/rhVDmDmrFlWFIdW7p6ur6C+ZTbTSzlxatasaZmkCjrmcvzemid0ZhYpacY55emey0SXp910AEsaPGlwNKck5BcuXGhFMEkT46k/hy4u2EeNQU7pPiTGLVsw63cxI860UFDSupAqIbnzkv3+kfl5wS7YdGwQuIwQuPTIC0Ix+NkPMbiwN7F8BG7/YCpuL+z+pbifomsWLlpkrfyUNKuozVpBOtjqr7ziCnzx5ZdWFIaEfUeumBcvXoxrrrmmcNEUZ05i04odyPQPw6zhLyNg8Pvodqbw5G8ltS7SJkldL0G3dOlSDPnLEMu/QH4wUt9rzM5NpgpPvgv2/rt270YrkjUTGWIjkv9dCfwUbSSzUHEEsgiBIylQdtoj1AzKl0YasNJsGkMWTT7KySLzqOaMCFhx55Ry2CiMX9muTTMIGARKF4FLkLyULqAX8uwSNEdoe1fSLVuwV/RVNttzjiZabeohq/eCmvpTDgz5PIhADBkyBM8+80ye9sPVQ/68PlmwMyulOqp5HUXFfm/ilZs6U8vl2pRz3nH8R7lFfvjhB9x3330QEdP/Ml3EH4/H/MPzERQYZGmJXFU01mpavj9Z2a4T2OlcyumxedMmdOnSxaUWynk8l+v/0rooDFrlItQ0r0RkHLUmjn4tnnDSfJH5USS0SZMmpU5edjJiMJ2kxYuak9lzZlsRVY0bNbbmm+N1yKflwMEDLCzKMOhzPyXHXazPMtcq91A75iQyzSBgEChdBAx5KV38i3R2CRWtZufNm2vlQKlJfw6ZgRxXvnoQL1u+zHLA9ERgJJw6dexkhckupjZHPgoiCtdeey2mTqUm6vbbrW2OQizfYKm1enD8j7gzk6t2f65o2WdhmsxFP5K4SNDJ6VZCb/q0aVAElMJ2C1qxK0pGZjHb/OXqnKdI8OTL48p85mr/y3WbtHmLFi3EHGoUQsNCrflUq2at8xzC5awqB+qCnHplWmnUuBEmsRaXyjIo/NqTb9aFxFwEXmH3+m0MHjzYY3kI/a7CQjlXfD2XNTgRfwKqHSbSb5pBwCBQuggY8lK6+Bf57BL4ASQwffv0dSmYpRbv2qVroTQvemhfd911+OdTT1n1bSTI+vbrhzV04Jw3dy6TDA7Il4nUecBeDIcP9OBS5Ly/yJVW5kqO9sQTT1hERSvaeb//jqc4jsKYLkRuCiI4u2kyUuI7pcA3zT0CIhhpaelo26YNmrdocZ7GxT5KfkM1GGXoiQxrX5FQkd0ePXpgzZo1iOBxtSnoPRJg+yQl+C7z0IIFCyzTlaLoCqprpXFL++fJFKtrTych0u/LU06cErwM05VBwCDgAYH8DgUedjZflT4CHZhcbv369VAVZndNpEQr3oJeEioiAdfRXDRl8mQrikl9Pvzww5A/ikiGnTre3bmKsl1+Bxs49gnjx+P++++3CktqNT9y5EhL4El4aMUsfxdXLx3vTtsigeV47FoSsLrU6qisgmnuEdAcEDmR2UiYu2rapzBzyiYv3bt3t3IG6R6U5PxxNTbnbSIZMoMpck4h/40bN3Y5l+z5JTLtjpTJXGbvp+vQZxEhV47LzuMw/xsEDAIXFgGjebmw+JZ47/WZS0M+H6f4MPWUa0LCxtWKV0LeflhL2OjVh9lt169bh5kzZ2LQoEFQGOjT9H15/bXXLBeAVtT2yKFXfRan6Xx6+CunyzejRuHhRx6xVuQiI7/8/DNyOKbAoECsZw4NT03h0w3ru45EUgp41UhKTcsVwEp215X+LoXR5Hg65+XwnZIC6v7XZ5SXiIyrprlkkxPH70UmbUJp76N5csedd2LE8OGWNkOO4BfLaVrh9qM4x+RzoyioNSxJ4qlJo1S3Tl2X2pkjR48gdm8s88RkWP5YySTa0SylYZpBwCBQ+ggY8lL696BII5AAadCgvqUVUXizo7+L3ZEXi1Lqgez8nXxNtCrVilKCpi4dD7WK1GcRildeftnKHNqjZ0/Lgfe555/H+++9h7UUbCI1EgbS1Dgn8bLP6/yu80lDpMrO8mmRD8Kjjz5qmXP03VyaplYxVPof//iHJTxsUuXcj/2/rsfduSsHV4bwEDkTSVLUiydyZ/dp3gGViJg06SdsooOztAuaD85NhFa+Rs4+LCKNSgiYnZVtEUXNEc0pvd98yy34bswYax62Y0X0gsw3zucsyv+aOyIuIxk9J+LSrVs3izhprntqGqs7TUrVsKqW47jI2SyG8ct/SqZI0wwCBoHSR8CQl9K/B0UeQc+eV2Hs2LGoxVVyYOX8Ph3ls1yXEdADXtqOzCxmxKWA0oPdfnDr/dnnnsObb75pZSTt1auXJaxee/11y3/gs08/tbQvPUlsGnCFbgs4rbLVr/1ua3b0/y5m8J0zZ46lKerbt6/lBKwwU2lhRFwW0VH4scceK9gxuBAIeXt55/nBbGJhShXYk7bItIIRkFZE0WbSNMhxWxFszi01PTVPw+L4ne63EtQp8kuk2dbCaB+ZbIZefz1+UNFPmmfat29vERx77jj280c+awyKVBNxkY9N7969S+Te28TGMkdS6yLyIpxMMwgYBEofASafpOQx7U+FgB7WDz30EJ5++mlLe1KSwkAr7/eobQmnEOvbv78lzGyVv0wxcoTcx6yl8pEQQZF24zTJSGWuzEWMkhjlQ2ZjRUOJXHXp2tVa2Utror4Vlv0zo5mUmfWBBx9EeHi4RX5s3wOt7NWvc7OJl7WSzq8YyNtd/bzz9ju46aabrGR+eV+YDx4RWLFiBVatWoWrr77aIgAedy7il9tlLvzmGyt7c1tqYEQqRQz+6LzV70C5XFTpeex331mJ9mQCVdSc5onmjMiUuzml4zVfsnOyPV6RNHlKeNiUGqo2dGw2zSBgECh9BAx5Kf17UKwRfP3VV9ZDujsjO7QidFXLSB3rAa0HeEEcVeYo2ySgB/93FAbzGQEkE5JypSiVvM6jl91ERqRF0arXh6RDDrciMY7mAa1a5ZSbQiGzbNky/Ea/mk70gbjhr3/N05Son527dlqCRLVlZHLQeBybzEzyX0hMIDny0GT6kDC66cZhJqTVA07OX0mIv/LKK7j2mkGMOmppEUgRTlcEQ/PDUcPi3Jf9v0ioTUQVbi3tXRKLf/ZjRJu0MiIZRXWA1Xy255TMRHPomCtyoai5jixtYc9PRbDJnJWWmmYR5OrVq+e7Fs1b+UnJ9OWu6TpXrFwBpSUYNmyY8aFyB5TZbhC4yAgY8nKRAS+p0x3mavPFl16ynG0jakYw1LXteaTBPo/qzkjg66HvqUkdrge8LWx27d6FLZu3QLWH5CCsNPCdmIdFpQkk1Oz+tL8e8BJyetlEySIfXPlqRW+ZjlgssRl9UkRa5I9iEyWNScJQwk19ahzyq3EmL9pPAtaT0NTxH/7nP+hKfweZKNz5x6gv0/IjMHr0aOyLjUU0TW5yTI2KisqHoTCW5k2EtCBCLBOOSK/mhY6TQ/amjZuwceMGJJ1KQmP6pii3Tx2FU5Osqj/tq7khLZ4IcbYD8dZ2JWj8ff7vWLp4CRMRnrHus4iLCK9jSzyVSMKcYjnbVgmuYhFr9e3YNJc0Lk9zSkkcf5sxA+H8bQwcONDxcPPZIGAQKEUEjM9LKYL/R05dnVES1WlyCaWwl6OqO0FtFTAk2bBJibtzipA4ZheVw2/18OqQj4v61gp1xfLlrAO13CrmKI2LN4mLfFhkQlJIcgX2kcyVdRYFgv4P5qsqhUpvqvLlHKwxKLrDmZhIKIkcFdSsMXrYaTfHKCEoXNzh4eHwy/6rvrxPn3zyiXUvIiMj8/yhnIGRyUcROI6ZnZ330VxynHP6HN0kGo0aNsL19IMRYV1HR/DVNFX98ssvlrOtNCoiLCI8+2hWrMYkg7Jpp3K7EiBKq6fK6ppTimaSE7Gfv5/LXESVgyozx4/nMHnNQ+e56HgdIlNyMtfYlQzSNIOAQaDsIGDIS9m5F0UeyU0334wxjOZo5ia5mDpUllm9itpEKPSymyI49HJsEjYiKydYmVr7SmMi05Gj2chx/wv5WcLwF0Y0ySdBxM60oiNQjaRP2EkLpoSFru6jBLm7cOqCzujcn7Ip62U3aUFkHjzNOXWSJiERY80phbuLMF3sJnOStEyh9NEp7jVf7DGb8xkELhcEzkmny+WKL6HrlGpf2ghVhu7MIosFaRu0knRcDTuqy+0VqPZx3O4OLqngJYz0Cj1LjiR81Gz1v32svd3+3927xuCo2rfHom32y/FYjVP7qMnvQdqgejR1SOCZVjwElEr/U/qmqGyDNHr2vHDXm/C355R9L/TueL8c75O7frRdx8g5XC+ZgdSPPRftPrWfPtsv/e+pFWVO2X3qXXNWSRo1JjkZm2YQMAiULQQMeSlb96PIo7n77rsZXfO2pVKXSaagplBY2/wih0f5kSg0VjVb9KCXNkWOjHqAe2oiSsr7YQsu+zgJG2l6RGr04FeTn4KiQgpqSkJXKaBS3nEiI3rJBKHaM47kTCt0jV8aF33+nqHjCu+uTaFrWvERkN9TDEmxfJU0H3SPPTU5yErbJs2b/FQUTaY5JWdckRDNAfv+FzSnZAbSMfacso+zx2FrX0Qs5Iui83hq5cqXs0xKKvKpprmp+aQxan4GMc1AxQrnwsLlx6Nzqv/DRw5bof6NmBagMCZNT+Mw3xkEDAIlj4AhLyWP6UXtUersdnROnThhAq5kVJAEiU0anAciISChIkEjQaKEdSIV2hZYKdASVnq4y8m3IG1JgH+A5XNgCxqRFx0nMiEho5f9ncwQp5JOFUiIND5/v3PCS+REQorrbGt8juRF51NEifpdvHixFX7bkKYOx32cr9/8XzgErmFxzteYXVnC3JM/lXoT4axfr741p7S/QuD1Lqds3QvNNZFhvVTp21PT9yIV9rw5SXOk7r/Iq7RpNnkRWdW9T07xTIg1n+Q0I0Ksz5rTikA6cvgIKgXlJlt0JC/6LWiunkw4aeUgiuBiQBpN0wwCBoGyh4CJNip796TII9IK9MUXXkAfJoK7gg9bCYDLoYmAbd261dK6/PXGG63EdO6I2+WAR0le447t261EiNfSjKQIM5tQlOQ5ymJfIt9KoLibCRZ7XnWV5ftTFsdpxmQQuNwRMJqXS2AGyAyktPuvMxuuTDaNGjdiJFDurZXQcRToejgXpL7X/s7HCSYdp9Wr3rWiduxX223/BE+Qql9rRcyd7L6kWfHxZrQTm+M5rA1u/ujcWpWPYXhvPybTa8CaT47jcXOY2VxIBKTFasOaRwuZlFDaPLs6tD0vbKx1z3UfC2q653rZx9n72/NG2zWn7KZ+9SrKXHWcO47nc9xu9+/uXXmCRIhF2OS0bJpBwCBQNhEwmpeyeV+KNao1a9ZYwlwp2ZXFVKSmdp3aecRA6na7tpGnE+jBHxkZmecbY+8rk9KRI0csYSVzlaJAbGFkmQtSUyw1vb2/q/fqNarnmaikopeJQUJL/UkwSpipr4IEYgpNBhMnTETLVq1wFVfICq81rWQREHmQ865vxQpoSmEu3xHl4XGscSRzkKJyRIo9Nd0fEWvb38reV/NJPijaLn8bW2sos6Dmh+asp6a5ozxHfr5+ls/NMYbt61j5z8jUJNOV5phMUNruruladeySJUssp2+ZzhzJlLvjzHaDgEGgdBA4t9QpnfObs5YgAq1Z/TmOyeAmTpyAHj16Wn4HZ3LOOd7Kp0BCpkBHR66C9TB3bspcq2NFLBxTqmtlq+1ZmQVrdbSPTXjsDL3yZdD5bPIi3wNPY5Swm8HEYUpuplBbQ1yc71TJ/C8Se9ddd+HDDz/Eid/nW1E3IgSO2hDdN+veF0BelBfG8Th7hNpu32vH7zXHCjNXdUxOdu5c1WfNHZEVx2zQ6kf+MUpa56rpXPKhke9UQzro9mUGYENcXCFlthkEyg4CRvNSdu5FiY3kp4kTrWrNt7Kqr6rg2o6OJXaCUupIQkarfGWC9eOKevCQIVbq91IazmVzWuVdGTF8uJUDRlquiIiIS8YHRsRJuVyUKE/amuvo46MEi6YZBAwCZRsBQ17K9v0p9ujkdDjpp5+sAoVKw26Hrbrr0PY5sLUieqhrJavVt70KFXnQSttxheyqPx1j+0boex2jY3Wc+tL3drPPY//v7l3Hx7FMgZLyRTKXy6BBg0qkcrC785nt5yMgLdmXrNqcQTPOgAEDrJD0gkix5oDuteaU7r00IHrXdr3UtE3zo6DmeIx9nD0PNafseet4noL6lElKRSNnzprFiKl6GMiilDKFmmYQMAiUfQQMeSn796jYI9zFiInhH32EiFo10aZ1Gyu1ujd9C1w1CQA5vcr3QERBtY3S09ItPwUlDJPwkGpdFXwLEjYKn61dq3Ye6TkefxyH4g6xbEAWGtRvYPki2AJNZQe0snfXJIxkCrDU+osWWc65KhQpMmbaxUVA930asxjPZTHE6KYxLK7YxHLmdSSjjiOSf0y18GosG1HB8jmRT4kIg0pFyAlYbc+ePZbPi01EHI93/Fyrdi1mug3NI7579+61tHCaB3Imtgsyyi9Lfl2e/FtEmPW9iMtBmllVAkPmR5tQOZ7XfDYIGATKJgLG56Vs3pcSGVV9mozeePNNjBgxAuPHj7ccWyU45CPi/KD29jm3etXJJXDKlzundbG20TelcnDlAsmLcrU4CjQ5TQYGBVrHOTtsWknJvHNX4Y4XLWGm1b6cNufOmWuZvu67/36LYDn27XiM+XxhERDuV1M7oTn07bffsojjPquSs8xIIg/O90X3XXNITfddmhrto+RxNnm1SGhuLkOPg/eteC7poXaUhkRRapqnjnNZJLxSIB11mXjRuYmUa07JTKQaXXIglk+PsgmbZhAwCPy5EDCalz/X/Sr2aJU+//PPPrOyhUo9rge3Y+KvYndcwgfKjCCHSznlKkxXmV6Vv6Zr165GpV/CWP+R7qS9mEVzyxy+2jJJYseOHa05ZZHRsyahP9J/SR5rOexSe3eMmsO58+ZZ0Wy9mY1ZVdILMn2V5DhMXwYBg0DJIWDIS8lhWeZ70spz/vz5kEOvCvBJXa5VtASOXtJ26KWVrKMfgY6TsCqoOR9n7y/hoZeaVuOO/glKKa++9b0+K3R2HgXMZubbkHAZOHAgVNLAtLKJgNLpT548GQrTb9K4MbqQZOp+SROje23PKWleHDUkutf2d56uTMdZ2hr6zdhNx2m+aF46zzl7uz2nZB6SGUlEWJF4ypgrp2NllTbNIGAQ+PMiYMjLn/feFXvk8l1Yv349ZkyfjtjYWDSkr0srVmPWg17h1NXDq6NZs2aW8NFJ9NDff2B/HgFxd2KVGLCLRTruI9+bI8eOwKu8F1q2aGn1K/V94qlErF+3nn4HB7GfqvzDhw5bq/feffqgQ4cOeX4Mjn2Zz2UTAfmaqJDhPDqKp/DeqqyAfKhS01KtATehf4xqBImMiHxs277Nqk2lz55aZN1Iq0ijjrObiIkSySUmJaJaWDXL7COyrfm7Z+8e7Nm9B7H7YhF/PN5KZBhOny0RdeUEsn1t7L7Mu0HAIPDnRMCQlz/nfSuxUcuBcgOrUivHhapTSwMj4tKte3crIZlWtxIKEkISNFrp2ithfXZcTStLrkxRatpXx4ooyQSUwgR22VnZliDS6njlypVYvXo1HXnjqAWqjo4dOlqrdq2Ibc1MiV2k6eiiIqDEdat4fxcz4Zvub1hYKDp07IQ2JMjSxmheyEk7MyvzvLmk+675RI8YgK4yzMkLP38/JsnzteaR5lQOj83mnFLdK81J+VcpxFkO3ZpT69ets8hTgwb1SKCaoz1NWgUVl7yo4JiTGQQMAiWCgCEvJQLjpdPJYUYTSSsjH5lYakOswngUGiI1WrX601FSBCWIn/UewJclcM4mtkulv4pW4af4UpTQab7rf2laMrhiVgRKba7A5UyspHp1aLZyJECXDpLmSoSAtCSKKBJBVr0kafESaGqqQE2Jn+aSXpxLgZpTdCTX/NI8E6lWtl2Zl5JJdDSfRHj00nxK4XsKSbUITzWaqVRNPJopAZq3aGFp75ydh83dMAgYBC4tBAx5ubTu5wW5GhEP24lW7xIg0qaInOi1c8cOy6QUxVwZEkASPnpXRIheFukh+dFno1W5ILfoT9WpNC+aUzYZseeWiK5MTiIna1atQi0SElV2tkmyCI7IsvU/55NIj6MP1Z8KBDNYg4BB4A8hYMjLH4LPHGwQMAgYBAwCBgGDwMVG4Fyq04t9ZnM+g4BBwCBgEDAIGAQMAsVAwJCXYoBmDjEIGAQMAgYBg4BBoPQQMOSl9LA3ZzYIGAQMAgYBg4BBoBgIGPJSDNDMIQYBg4BBwCBgEDAIlB4ChryUHvbmzAYBg4BBwCBgEDAIFAMBQ16KAZo5xCBgEDAIGAQMAgaB0kPAkJfSw96c2SBgEDAIGAQMAgaBYiBgyEsxQDOHGAQMAgYBg4BBwCBQeggY8lJ62JszGwQMAgYBg4BBwCBQDAQMeSkGaOYQg4BBwCBgEDAIGARKDwFDXkoPe3Nmg4BBwCBgEDAIGASKgYAhL8UAzRxiEDAIGAQMAgYBg0DpIWDIS+lhb85sEDAIGAQMAgYBg0AxEDDkpRigmUMMAgYBg4BBwCBgECg9BAx5KT3szZkNAgYBg4BBwCBgECgGAoa8FAM0c4hBwCBgEDAIGAQMAqWHgCEvpYe9ObNBwCBgEDAIGAQMAsVAwJCXYoBmDjEIGAQMAgYBg4BBoPQQMOSl9LA3ZzYIGAQMAgYBg4BBoBgIGPJSDNDMIQYBg4BBwCBgEDAIlB4ChryUHvbmzAYBg4BBwCBgEDAIFAOB/wcS0BpMehLPeQAAAABJRU5ErkJggg==" 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<p>The pressure on the liquid in one side of the tube is increased so that the liquid is displaced as shown in diagram 2. When the pressure is suddenly released the liquid oscillates. The damping of the oscillations is small.</p>
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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">(i) Describe what is meant by damping. </span></p>
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<p>(ii) The displacement of the liquid surface from its equilibrium position is <em>x</em>. The acceleration <em>a</em> of the liquid in the tube is given by the expression</p>
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<p><em>\(a = - \frac{{2g}}{l}x\)</em></p>
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<p>where <em>g</em> is the acceleration of free fall and <em>l</em> is the total length of the liquid column. Explain, with reference to the motion of the liquid, the significance of the minus sign.</p>
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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">(iii) The total length of the liquid column in the tube is 0.32m. Determine the period of oscillation. </span></p>
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<div class="marks">[7]</div>
<div class="question_part_label">b.</div>
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<div class="column">The string in (c) is fixed at both ends and is made to vibrate in a vertical plane in its first harmonic.</div>
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<div class="column">(i) Describe how the standing wave in the string gives rise to the first harmonic.<br>
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<div class="column">(ii) Outline how a travelling wave in a string can be used to describe the nature of polarized light.</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">(i) the amplitude of the oscillations/(total) energy decreases (with time); because a force always opposes direction of motion/there is a resistive force/ there is a friction force;<br> </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-style: italic;">Do not allow bald “friction”. </span></p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">(ii) the displacement and acceleration/force acting on (the surface); are in opposite directions; </span></p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">(iii) \(\omega = \sqrt {\frac{{2g}}{l}} \);<br>\(T = 2\pi \sqrt {\frac{{0.32}}{{2 \times 9.81}}} \);<br>=0.80s;</span></p>
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<p><em><strong> </strong></em></p>
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<div class="question_part_label">b.</div>
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<p>(i) wave <span style="text-decoration: underline;">reflects</span> at ends (of string);<br>interference/superposition occurs (between waves);<br>regions of maximum displacement/zero displacement form (that do not move);<br>one region of max displacement/antinode forms at centre with zero displacement/node at each end; {<em>(allow these marking points from clear diagram)</em></p>
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<p>(ii) the waves (in a string) are transverse and vibrate only in one plane;<br>light waves are transverse electromagnetic waves;<br> (and) for polarized light the electric field vector vibrates only in one plane;</p>
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<div class="question_part_label">d.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<div class="column">Candidates had some uncertainty in discussing the negative sign in the SHM equation for the U-tube example. They were unclear about the terms in the equation and the relative direction of the vector quantities concerned.</div>
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<div class="question_part_label">b.</div>
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<p>(i) Although there were many suggestions that the wave is reflected at one end of the string and that this interferes in some way with the incident wave to produce the standing wave these were generally weak and incomplete. Some candidates focussed entirely on the shape of the standing wave (not really the question). It was rare to see 3 marks awarded; 2 was more common.</p>
<p>(ii) Candidates were vague as to the nature of polarized light (a clear description in terms of the field vectors was required), as to the description of the travelling wave on the string, and as to the way in which it could be used. Many will have seen the demonstration in the laboratory but could not describe it with clarity.</p>
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<div class="question_part_label">d.</div>
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<p><strong>Part 2</strong> Resolution</p>
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<p>(i) State the wave phenomenon that limits the resolution of the eye.</p>
<p>(ii) State the Rayleigh criterion for determining if the images of two objects are just resolved.</p>
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<div class="question_part_label">a.</div>
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<p>An advertising sign contains two straight vertical sections that emit light.</p>
<p><img 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YAAAggggAACCCCAAAIIIIAAAgEE/iPAczyFAAIIIIAAAggggAACCCCAAAIIOAUoHLAhIIAAAggggAACCCCAAAIIIIBAUAEKB0FpeAEBBBBAAAEEEEAAAQQQQAABBCgcsA0ggAACCCCAAAIIIIAAAggggEBQAQoHQWl4AQEEEEAAAQQQQAABBBBAAAEEKBywDSCAAAIIIIAAAggggAACCCCAQFABCgdBaXgBAQQQQAABBBBAAAEEEEAAAQQoHLANIIAAAggggAACCCCAAAIIIIBAUAEKB0FpeAEBBBBAAAEEEEAAAQQQQAABBCgcsA0ggAACCCCAAAIIIIAAAggggEBQgW8EfYUXEEAgbIGdO3bqnXf26e1//EOfffZ5/XJnnXWmLrzoIvX8wQ+UnZ1d/zx3ELCyQFlZmfbs3h10e77ggiz17dfXykMgNgQQQAABBBBAAIE4CpzmMG5x7I+uEEgagS+++EKLFizUli1/UvWxaue4z884Xx07dqo3ePfdwzpUfsj5uE3bNrp14kRdf8MNOuOMM+rbcAcBKwiY2/PqVav0xOLFYW/PgwcP0ZSpd7M9WyGBxIAAAggggAACCCRQgMJBAnHp2r4Czz/3vH7z6185d7D65+RoxMiR6ndFv4A7UOYO2Y5XdmjD+vUqKS6WWUB4+HeP8I2tfTePFjcy84iZyXf+Murt+bcPPKifXPOTFjduAkYAAQQQQAABBBAIT4DCQXhOtEKgXsAsGtwxaZLMowvmL1wY0SkI5iHg+Xff7TwK4dHHH2dnq16VO80l4NmezYJWwbJlbM/NlQjWiwACCCCAAAIIWFiAwoGFk0No1hOorKxUn96XqUfPHnryqacCHmEQKmrzCIRbbr5ZpXtK9equ19WhQ4dQi/A6AgkRMLfna3/yE6Wnp8dle/7ztm3K7JyZkFjpFAEEEEAAAQQQQKD5BLiqQvPZs+YWKLBk8RPOqM2jBaKdp8Bcbs7cec5+PP21QApCtoGAuf2Z83OY22Ms27P5fjBvK595xgYqDAEBBBBAAAEEEEDAX4DCgb8IjxFoQuCVV17WsOHDYj5KwPxW1pwboaSkpIm18RICiRXYu/f/ObfDWI8SMI+aMd8XGzduTGzA9I4AAggggAACCCDQLAIUDpqFnZW2VIF3D7/rvLxiPOK/6OKL9f5778WjK/pAICqBt//xts4999yolvVfyLzs6PHPGy5F6v86jxFAAAEEEEAAAQRargCFg5abOyJvBoHTv3W6/vzCC3FZ89bnn9P/Of3/xKUvOkEgGoH/SPkP/eUvO6NZtNEy5vvCfH9wQwABBBBAAAEEELCfAIUD++WUESVQ4Ksvv3JOarhm9ZqY1mIuf6j8kP751T9j6oeFEYhFwNz+zO0w1u3ZvDKDOdmn+f7ghgACCCCAAAIIIGA/AQoH9sspI0qwQMeOHTVz+nSZO0vR3MzlzOXPPS8+h4hHEwPLIOARMLfDWLdn8/Kk7du393TJTwQQQAABBBBAAAGbCVA4sFlCGU7iBa768Y91fsb5MneWpkyeLPOSduHczHZme3M583KOo8eMCWcx2iCQUAFzOzS3x2i25/vvvc+5nPl+GDZ8eELjpHMEEEAAAQQQQACB5hP4RvOtmjUj0DIFvt3+29q4ebMWLVioFU89pU0bNzl3vH48aJB6/uAHzkFlZ2errKzMeX/P7t3OeRHMQ7nN200336wpU+/W6lWrnI/5D4HmFPjmN7+pJ43teOmSpXr80UfZnpszGawbAQQQQAABBBCwqACFA4smhrCsLWBe8/7e++/ThIm36o8r/yhzosM5s2YHDdr8RnbSHXfoxrE3xnwpx6Ar4QUEohQwt+e7ptzl3D7D3Z7NApi5/ZuXYuSGAAIIIIAAAgggYG8BCgf2zi+jS7CAudNk7nCZ/8xTET766CN9cfwLvfPOPl1wQZbOaH2Gvvvd77JzleA80H18BNie4+NILwgggAACCCCAgN0EKBzYLaOMp9kEzJ0uz7evffv1bbY4WDEC8RBge46HIn0ggAACCCCAAAL2EGByRHvkkVEggAACCCCAAAIIIIAAAgggkBABCgcJYaVTBBBAAAEEEEAAAQQQQAABBOwhQOHAHnlkFAgggAACCCCAAAIIIIAAAggkRIDCQUJY6RQBBBBAAAEEEEAAAQQQQAABewhQOLBHHhkFAggggAACCCCAAAIIIIAAAgkRoHCQEFY6RQABBBBAAAEEEEAAAQQQQMAeAhQO7JFHRoEAAggggAACCCCAAAIIIIBAQgQoHCSElU4RQAABBBBAAAEEEEAAAQQQsIcAhQN75JFRIIAAAggggAACCCCAAAIIIJAQAQoHCWGlUwQQQAABBBBAAAEEEEAAAQTsIUDhwB55ZBQIIIAAAggggAACCCCAAAIIJESAwkFCWOkUAQQQQAABBBBAAAEEEEAAAXsIUDiwRx4ZBQIIIIAAAggggAACCCCAAAIJEaBwkBBWOkUAAQQQQAABBBBAAAEEEEDAHgIUDuyRR0aBAAIIIIAAAggggAACCCCAQEIEKBwkhJVOEUAAAQQQQAABBBBAAAEEELCHAIUDe+SRUSCAAAIIIIAAAggggAACCCCQEAEKBwlhpVMEEEAAAQQQQAABBBBAAAEE7CFA4cAeeWQUCCCAAAIIIIAAAggggAACCCREgMJBQljpFAEEEEAAAQQQQAABBBBAAAF7CFA4sEceGQUCCCCAAAIIIIAAAggggAACCRGgcJAQVjpFAAEEEEAAAQQQQAABBBBAwB4CFA7skUdGgQACCCCAAAIIIIAAAggggEBCBCgcJISVThFAAAEEEEAAAQQQQAABBBCwhwCFA3vkkVEggAACCCCAAAIIIIAAAgggkBABCgcJYaVTBBBAAAEEEEAAAQQQQAABBOwhQOHAHnlkFAgggAACCCCAAAIIIIAAAggkRIDCQUJY6RQBBBBAAAEEEEAAAQQQQAABewhQOLBHHhkFAggggAACCCCAAAIIIIAAAgkRoHCQEFY6RQABBBBAAAEEEEAAAQQQQMAeAhQO7JFHRoEAAggggAACCCCAAAIIIIBAQgQoHCSElU4RQAABBBBAAAEEEEAAAQQQsIcAhQN75JFRIIAAAggggAACCCCAAAIIIJAQAQoHCWGlUwQQQAABBBBAAAEEEEAAAQTsIUDhwB55ZBQIIIAAAggggAACCCCAAAIIJESAwkFCWOkUAQQQQAABBBBAAAEEEEAAAXsIUDiwRx4ZBQIIIIAAAggggAACCCCAAAIJEaBwkBBWOkUAAQQQQAABBBBAAAEEEEDAHgIUDuyRR0aBAAIIIIAAAggggAACCCCAQEIEKBwkhJVOEUAAAQQQQAABBBBAAAEEELCHAIUDe+SRUSCAAAIIIIAAAggggAACCCCQEAEKBwlhpVMEEEAAAQQQQAABBBBAAAEE7CFA4cAeeWQUCCCAAAIIIIAAAggggAACCCREgMJBQljpFAEEEEAAAQQQQAABBBBAAAF7CFA4sEceGQUCCCCAAAIIIIAAAggggAACCRGgcJAQVjpFAAEEEEAAAQQQQAABBBBAwB4CFA7skUdGgQACCCCAAAIIIIAAAggggEBCBCgcJISVThFAAAEEEEAAAQQQQAABBBCwhwCFA3vkkVEggAACCCCAAAIIIIAAAgggkBABCgcJYaVTBBBAAAEEEEAAAQQQQAABBOwhQOHAHnlkFAgggAACCCCAAAIIIIAAAggkRIDCQUJY6RQBBBBAAAEEEEAAAQQQQAABewhQOLBHHhkFAggggAACCCCAAAIIIIAAAgkRoHCQEFY6RQABBBBAAAEEEEAAAQQQQMAeAhQO7JFHRoEAAggggAACCCCAAAIIIIBAQgQoHCSElU4RQAABBBBAAAEEEEAAAQQQsIcAhQN75JFRIIAAAggggAACCCCAAAIIIJAQAQoHCWGlUwQQQAABBBBAAAEEEEAAAQTsIUDhwB55ZBQIIIAAAggggAACCCCAAAIIJESAwkFCWOkUAQQQQAABBBBAAAEEEEAAAXsIUDiwRx4ZBQIIIIAAAggggAACCCCAAAIJEaBwkBBWOkUAAQQQQAABBBBAAAEEEEDAHgIUDuyRR0aBAAIIIIAAAggggAACCCCAQEIEKBwkhJVOEUAAAQQQQAABBBBAAAEEELCHAIUDe+SRUSCAAAIIIIAAAggggAACCCCQEAEKBwlhpVMEEEAAAQQQQAABBBBAAAEE7CFA4cAeeWQUCCCAAAIIIIAAAggggAACCCREgMJBQljpFAEEEEDg1ArUqWbPIg3rnK6M3ndoQ8WJKFdfpbL1j2v6kG66OL9EtVH20ryLxcuieUfRfGs3/Mo2aUn+UGV1MrYn57++Gj9vhUqi3q6abzTxWXML2KZqyrThiWnGZ8Blml5cE59h26aXFpA/21gzEATsK0DhwL65ZWQIIIBAEgkcV9madXrL3NOvfFa/Xvx6RDv9dRUlenJenvp0+oFGTVmotXuPt2C72Cxa8MDjEHqV9swbrT73/j9lTFyjfYff1vaCn6lr6hEVL75XeVfdqPl7quKwnpbWhXW3KfO9W2gWebqP0NS5Ra7PgJbGm/B4rZu/hA+dFSCAQNwEKBzEjZKOEEAAAQSaT6C1sq8bZezgGRF0uFYPTLxM5t3wbh9q84O/0eb9X4bX3PKtYrGw/OASGOAJlRfcrrGLv9TN90/Vj9JbGetqpU4Dp2lRfm/X9lRbpqfW7I2oKJXAgE9h11bdpvbryV/er2f3fZKEOYkk/VbNXyRjoC0CCDS3wDeaOwDWjwACCCCAQOwCKUrrOUWbDkyJoqvvacSynRqhOlWtn6g+U7a18J2QWCyi4LPLIlXPa+78XUbuL1HbNO+yUytljH9MK4+NN4oKR9W313my5bcuVVs0f/MFys/tEiCjVt2muijvTy8rTx9qw7hrNHV7kp6i0GTuzHRaNX8BNjWeQgABywrY8nefZbUJDAEEEEDAwgIpOrNNG+NPbG7JJ2AUjV5+QTvNU11S09T2TP8/j9qp57QNxqkLO/XEyAwbbiNfqaywUK/VtdTMt1eP3p1bavAxxt3Scxfj8FkcAQROmYD/b8ZTtmJWhAACCCCAAAIIWEPguPb+9S3XkSYpbdTmzOQqH9WVr9Sswv3WSAVRRCRA7iLiojECCMQgQOEgBjwWRQABBBBAAAE7CHyl6qpor8TRwsdf87oWTX5UZS3zEiItHD/G8MldjIAsjgACkQhQOIhEi7YIIIAAAgggYEOBL3TsaPIVDuoqntc9N03QkhZ9FREbbo5hDInchYFEEwQQiKsAhYO4ctIZAggggECsAvWXV+uUrgzjX9aQaVqyvkw1dftUOPMZHQ62grCv425c07xsk5aYl3BzryOjd57mm+sI1rf/83UVKln+qKYP6eaM0Ywzo1NfjZ+3QiUVke6A7lfhkAu9+nGN29XnhRpW4HcIeUWBhnnidv4M0CZsC2NgYY+lRiX5lwWIs2H9tcXTdLFPbA1juTi/xGvSyVodLhjj21fWNJVE/a33CR0ufsY3p526qM+4OSoMmlfv8fxYc/a683aiSHmdG+LOCCuuBOTQ3ObCzo33BlqlsvWPG9vmpe5tx9zeV7u3VdOkQGU1n6is4Ofq13+SVtcXDU7orVk/bsiJ/7gj2aZkxlCg+eP6NvQXzvsj4HhD5dF77LHfj/rzx1x1wPjD/VwI18xoF2nuzNjCzl807yVzBe6b02COxvfu5vXZ5dkm3Z+XnYdqekGJDjcxp0ZMefDEwk8EEIivgIMbAgiELXB+x06OgqVLw27fVEOzH7M/bgg0l4D1tueTjurdCx1DMy935C140VFx0i1TXeoomjrEcYHxfjl/8FJHhQ+YsUzpRscTntfNNh17O6Ztr/Zp1fDgU8fuucONvrzX8U9HxfaljmmDezuuHTzAtR6jn4umFju+bliw/t7JQ2scE3p1dwyduspRWm0Gacawyli+q/M9fX7mcMe83Z/Wtw/vzqeO0jUzjLGb8bv+XTB4oWO3s/9APXziKJ56hdH2cseEdQeNCMxbpBbGEhGPxT/OKwzrT3wDPHnIsW2GO1/OsXjH6NvUUf2iY1qvLMcPc5e6Lf1eD+dh9W5HQe7ljvN7jXMs2n7IbWHm9CFHXq/OTs+mLc2VvOMoGJzlsr8g31EcKPEhY/G36eRoer2Bctiwkkhzc/JQsWP53HGOH7q3n/M7ZjmGLn3bUb19htdz5rbV3ZG37oP6FX29Pd9xkXMZs/079c+77kS+TTmqX3PMM94LFwye4Sgqdb8PfLaJINuDezmfbdpnuc6OH0590RH4nf21o2LpaFf+mnz/+w3P56Ex1og/fxo6iDRfDUsa96I0azp35hoizF8s7yXjc3p9o+3P2J5OHnSsH2+8P+u3S89nXLB8xpYHH1ceIIBAXAUU197oDAGbC1hvR8vm4AwvoQKW255P7nbM69PZcUHuekfj3W73TpZ/4cC9jO8fpcEKB56iQVfHSGOHylOXqEd27sS6djTN/gIVDjw7ByGXz7zeUXDwn/Vdh3fnn46DS693OAskQdbf0M+XjtK51/juSEVk0VA0iHws5rqvcu8IXOWYV/plQ1iee96xZI53rP+0kbar5afrHXkXNPG6p79gP0++7SgYbhRsgni78hVO8SAehQMzyBhz6B5n5NvZB471ud39ds6yHNfedafjuuFmAepro7i11FVI6XW7Y/2hhm2zyZ1P7zzW7/gFe38ZwXveQ71mOIr9i15mrj2FsUb5aoi/0fvfk2Pn+oNsb0aJL+bCgXusjdbvzEmQz5+o8+Ve0PwRtZnD0WTuzL4jyZ/HuVFuzI48nxfB3ksN+Wv4LDYKUYs3Gu/Pqxx5c9c3FFmdxRl38SDQZ0MMeXBFyv8IIJAoAU5ViO8BHPSGAAIIIBClQN3el/TckWDHqrdX/2m/UM43/DpP6an8v+xX+eFXtWBAmt+L3g+Nw7WLF+kXi8ukHndoXm5W40vqpfXRdcPTvRfyu/+hNj84R9t0tSaN7tz08rV79PS6v6uJI3H9+jYftlLGiNHqm+p66cRrf9P/Buug7m1t2yINvaGP6kcdtoXZfyxjOV3ZeROU44yzQs+9+HbjcaZcqIGD3Za1u/THDQcatzGeqXr5Je0fMlo57aK5isEJlS+/XwtLT6jD8FyNymjlgvP6PyV9pGZNvVJmqLV7l+gXs4vDPx3Fq5/w78aYQ+eKosnN9zRiWZnxPjiovy0a6ByvdEL/+FOlfrRgknqmpSote7wKdhnvlV2PakR6Y6uAY4xomzqqktmztLbyW8qZerv6p/nltF1vXd3PvbXW7tNf3zzWsMqK57Riu+tEoZR2bXRmwytSynnq2eu77mc+17Hqr71fjdv9qD5/nGuPJl+esGMw83TR1M+w8xfre8mz/f1d6yZ2cUdknPqyaIWO3fNHFUwboWzn9pCitJ4TdW+eu03tG9r68sc+I4g+Dz7d8AABBBIgQOEgAah0iQACCCAQucC/q4/pU2Ox2h1rtbE8wDwB5o5Hr9ZBOk5Tepezg7xmPF13QOsee1aVxm5237HXKMNvn8a14On6r0u6G7vvgW91ZU/rEWPnJvXiH6ib/06Rc5Fv6rzMju6dtlod2fKS9gbb8Q+8CqldX904vKPr1SNbteaVowFbOv+4Vl8N7HZ6gNdDWBhLxDyW+p3AYOM0igtjRqmrM7rjKntqcwCLj/XK85/qGu/iR4DRBH2qZqcKlu0x5k34li7qdXFDAcVngRS1GzZBuec4Sweq3Lhc6wJtWz7LxPggxhzGlpsUndmmjbuolapz8u7WLQEKKpGPMJxtarnuK3pXSr1EV1/5nQCr+J6G/mqGBnYwctHhcl3do22ANoGeSlWbtme5X6jRvvJPAjWK+bloP39iyVddWaLM/DlC5C9u7yXvz9BW6po/V/k92/kF493mhI4e+8Ln9Wjz4NMJDxBAICECFA4SwkqnCCCAAAKRCvxHm7b6trmQ8Q31nEHXaXqR/2SFxrda065Xp4Ade+9cNG5Qt3ezni49brxwtjqfX/8dfeOGQZ+p1fu79+iI8Xrt9im6NOAEgJm6dMq2hgkAPz2mmn8H7TDIC+3V74ardY7z1Xe1aeVOY5o5/5vxDedjW9Vl8k+VHbAA0rSFMYI4jOU7uuInl7iKJEeKtW3vV35BGkcTlL6hfZ5nA7Wp2qWt5T2DFD88Cwb7afS/fa02VZpHqHRWrx7tgzU0vrH2PvrhTT1b/F7wtnF5JZYcxiM3nkGkGDvcrRsfGeN5OaKfobapr7T3xWLn+0MXXqIeQY4gSUkfoycCHfVwXl9d28MoCqZm6+brurmLbxEFGHPj6D5/YslXjGYRjbip/FnrvRRdHiLCoDECCEQp4H/QZ5TdsBgCCCCAAAKxCaR0G6qf9lipOeYOfu1erc0fobUPDdCEqZP085HZQb5RDmedDX/cS2eprXHYduS3L1Vx4H3nYq3GLNeb8/snbOfG26F2xwt6pWqoRnjviJk73K920dXzA32rG87I4jEW45v8KwcZp1VsU3Gt63SFKdk9G3ZS697UskelydMH6OG5241ShX8b12kK5VePU7eAxY9Q4ziuvX99q6FI02Rzz5Eg+432J3TgwAfGzy4Jy58ZSvQ5jEdumsRI0Is1qtgfw5EAKVnK27BXeT7RmVeD2KJ1Lz6rJxe/4fNKIh545yz8z59Y8hWjWdwQrPVeii4PccOgIwQQaEKAIw6awOElBBBAAIFTKGDuPCx/UjMGuL5vd665cruWTBmhnsblEh8qrghwnnw48TX8cR9O68BtvlJ1lev0ibqqan0euFF8nk3prOFje7t2bGtf1iOFb3qN273DfcsEDfUuJkS05jiNpYnTFer2vqzSqycob/zE+tMEfE/dcJ2mMOiqCxuKDRGN4ROV73OdEx96Me/D940z//cd1AehF4qtRdQ5jFNuYos+iqW/0LGj7tOLjh1TdaSn6Pis0XPpvmz1vvd11bUfrQenX+LTIiEPovr8iSVf8TSLRcRi76Wo8hDL+FkWAQTCFaBwEK4U7RBAAAEEEi+Q1lN5y7Zp+3JjIkTzXGjPzSggPJ47VCNnPt/ktb89zeP/s+GP/Np3Dui9mHaMQkVnfJs/YLSGOcfvN4eA+U3+w+8p+h1uc93xGkuw0xWOaseqt9XDLAp4nybgfbpCTKcp+Pt9pmM1wSbVdLVNTc80Tmhw32/fTsFmyvDvOfrH0eYwXrmJPvKYl/y4XBU10bxBTuhw8cMa3/sy3fDUe8q8c7P+/qd5mpCbo/SojkqJYiQRf/7EKV9Rm0UxxiYXsch7KeI8NDkoXkQAgTgJUDiIEyTdIIAAAgjES6CVOuVMNmaAf13rFt3qVUA4rrf+OF13L9/n9Q18pOt8Xwcrvox0IaP92crIcs+N4L0DHLQn48iALZu0o+n92aBLy/sKD0dW6/ebPnS2NSdFfOFso4AScFLE4N35vhKvsXhOVzB797q6QtVOrTncyx3j6ep2VY57zoYKbV71qnFVA89pCj+K8jQFc31nqG17zzSWn+jAoXCPPkjVd7p0jOG0F3PdYd6iymG8chNmjHFr5pWPADPlN17NVypbvlpl9fWFKu2Zd6MG5f6Pdp49QStXzFZeTnqUR6M0Xltkz0Ty+RNLvmI1i2xUwVt7xSErvZciyUPw0fEKAgjET4DCQfws6QkBBBBAIK4C7ZQ9cpoKXv2zltzomTAt2Az9Ta34P5XWznOBtyq9/kZ5FIUH7z72a/kDK1Vev9MTYN3GVRw2bn1fraP+LWvscI8apWznQRc12vn8LmOSRHMytT3KCHpViABxBHwqjmNpdLqCWRR4Vbqu4coVrnOWze/4a42rGqxVcdWHzqspxHbURHv16O05huBL7T/4UZM5rasxDp93WqTrmqhPjwiI2cST0eQwjrlpIrL4v+Q9a3+Nih9+2qsoEGBtxuVESw620nnOIwkaLpVqzj2Re/9E4/KRp+oQgwCx1T8VzudPLPmKxaw+yDjcsfp7KZw8xIGBLhBAIKRA1H/ShOyZBggggAACCEQgUFv8gCatd32z7rNYSrp+NHuxZg9wf+Mf8dUKvL/1Ng79L1yizVVN7fX7rN39wLsPYxe49FFN+XWw0yaMHaFXVuqFjj+M4Rt1Y4K9jGt0o/u6985LVP51g36/JVM3Doh2UkTPuOI5Fu/TFYwjI9ZvMSZF/Keu8r4cn8/5/sZ129eui+FqCp4xpOrcnIHuwoqR043rtSPo4fFGPg6Vy3m1+HNyoryKg2e9kf2MPIfxzE1kscbW2jduHVmp+xe+bhxdEuh2QuXLl2h/z0vlulDfxypeudW4VKp5i3by0kDriey56D5/fMcd2eeC77KRmUU2tqZbW+u9FF0emh4hryKAQHwEKBzEx5FeEEAAAQRiFvhCrzq/WQ/Ukde3Yl0yle78Jj5Qu8DPpXT7ka45x71Q7TbNHL88wBEDR/WXF/5qzLvvup147W/6X6/6QsM35+br5mkTkzRo+DQVek/aWFehkoKZ+tltBzVo1MUxHmptXPf+9utdh/nX7lHBLx9X+eCR6heHb2PjNxbv0xWMIyMeWqTXjCsl+E7c6NumeO5i7b86ltMUXPlJyRimScM7uh5UPqvH1x4IctTBMeMKDOYVFVor++ahoYs5ddWq/twr8a41RPl/5DmMX27qVH3seBCThuHUX/7OaBlO+4Ylfe81invxBP0sv0AlFZ53lNG+pkwbnrhXUxbJq7jUME+AFOgce+PqAwdiuGKDb5hNPIru86fRuCP4XGi0bNhmrmHELXeJei81oR38pejyELw/XkEAgXgJUDiIlyT9IIAAAgjELFC7/T5NKAg0h0GtsVPzmdG/sfM3uK/ObbQmz+vmCydUVf2Vb4uU7vr5IxPU1VM7KJ2ta4bP1NqyKlc7Y4dmbf4v9Mi+bzRcpu/IMt3+88kaf/lt2mAeoWDM9n3Lgjvc33K7FqvdW6Q5xuRtXTqlK8P8l5GjvFkbdXRIrkZleM7B9w0lkkcNBY9afVp5ZpiTIoawMAOI51jaDdJteV2cw6qtPF0/DHQqQLu+utGzk596pX6Z1z3Gooq5uvbqP3OOJnQzT4MwTmGZf7+eLPfaSXVGJNWVb9LjGz9Uh6t+pYW5WYHXW3dcx465iwW17+rge/9yLx37j4hzGLfcGNtM1ef6d4ghpJzXWV2c7wuvIzeMAthLMyfroTLP+yiabcoorhUZcxX0v9D13jDfH91HaOrcrfrGlLu8ikvnqGef89xR7teSidO0wVlsMC/HuFrTh9xgvC89+XAXN8z47ivwmkPEO74a7SuPrtAQ1edPLPlqtGy4Zi6u8HJntvX2CfD5GLf3Up0+r652F6s8lz51pzbgj8BtospDwP55EgEE4ilA4SCemvSFAAIIIBCjgLEDOGuMRuY/rg2enXrj7P6yogd1f+FH6nrj3IA7f3UVz2rJxgr3uo1vvp9apT0+h66nKK3nJP3u9z9rKB7sXaXpw3/g2qnpfp1+VzNc8+/o6bdjebZ++Nup9Ts5KRm5Kiya6TVho/9wU40d1Ae1cs7A+EzAZxQ8xk2+0lnMSB0wQeOyT/dfYaPHoS1ci8RvLA2HXAePsb363XC18+iJ1H6DdEXUl5L0G27aZZryyFxdbxYPandpztjbvS7b6Zql/9axD+mj/kZOFo9Rp0Cnzps7ob/+rZYf8cxkaUzi+NhKlflsP37rjeRhFDmMOjc1r+vh321tOGpmxwZt8f7GP1DcaRepV1ez+GLcKlcpr3umUQAbqsfOGqNc9/YW0Ta1+vb695irU+//W6vrxCUqHO9dwDG2n/r5PMwYntVUZ7EhUz0nFivz/jVae2c/ucpwRnFj8Sh1ybhJ67rmqI+7EOgb3wnt27LF7/3vHUNT96P7/Ik6X0YozmUjNnOPIYzcmS19fQJ9PhqN4vJeMuZ2WbnLKFO4bicCbX915dqy+rUQ22h0eXCvlh8IIJAoAQc3BBAIW+D8jp0cBUuXht2+qYZmP2Z/3BBoLgGrbc9fb/+t47Z1HzhOHip2LF8625HXq7PzPXJ+x86OH+bOdizffshxshFWtaN4am93u05+P7McQ5e+02gJs/+CqUMcFxjvP9Pg/F7jHPOWFTsqjM6/3p7vuKjj5Y68uU85ig/9s9Gy9U9UlzrWL853DM1sWOcFg/MdBQFjrF8qujufrnfkZXZ35Bk2Td8it3D2F4+xnNztmNfnkqZjDKdN0wNs4tVPHaXrHnNMG9zVaxvo6hg69THH+tJPgyzXlJcnr4G3oSAdBn867Bz6dRF2br52VCwd7TV2T/yen6MdBYe+9uvc62H1bkdB7uWu5TOHOKatKXVUO19uyqgJm0Zxh8rFSUd16Sqv/JnvwfWO0mr3O/7kQcf68a74Lhg8w1FUn9Om4uvkuGhqsaOJUXsBmO/9aD5/fLpwGIOI/nOh0bKhzNzrDpo78/WmfILlL5r3Uojtb/BSR4WRiSa3UWebOOXBLy08RACB+AicZnaTqKIE/SJgNwHzUOQZ98xU3vjxMQ+tsKBAc2bNVvlhz7ekMXdJBwhEJMD2HBEXjRFAAAEEEEAAgaQV4FSFpE09A0cAAQQQQAABBBBAAAEEEEAgtACFg9BGtEAAAQQQQAABBBBAAAEEEEAgaQUoHCRt6hk4AggggAACCCCAAAIIIIAAAqEFKByENqIFAggggAACCCCAAAIIIIAAAkkrQOEgaVPPwBFAAAEEEEAAAQQQQAABBBAILUDhILQRLRBAAAEEEEAAAQQQQAABBBBIWgEKB0mbegaOAAIIIIAAAggggAACCCCAQGgBCgehjWiBAAIIIIAAAggggAACCCCAQNIKUDhI2tQzcAQQQAABBBBAAAEEEEAAAQRCC1A4CG1ECwQQQAABBBBAAAEEEEAAAQSSVoDCQdKmnoEjgAACCCCAAAIIIIAAAgggEFqAwkFoI1oggAACCCCAAAIIIIAAAgggkLQCFA6SNvUMHAEEEEAAAQQQQAABBBBAAIHQAhQOQhvRAgEEEEAAAQQQQAABBBBAAIGkFaBwkLSpZ+AIIIAAAggggAACCCCAAAIIhBagcBDaiBYIIIAAAggggAACCCCAAAIIJK0AhYOkTT0DRwABBBBAAAEEEEAAAQQQQCC0AIWD0Ea0QAABBBBAAAEEEEAAAQQQQCBpBSgcJG3qGTgCCCCAAAIIIIAAAggggAACoQUoHIQ2ogUCCCCAAAIIIIAAAggggAACSStA4SBpU8/AEUAAAQQQQAABBBBAAAEEEAgtQOEgtBEtEEAAAQQQQAABBBBAAAEEEEhaAQoHSZt6Bo4AAggggAACCCCAAAIIIIBAaAEKB6GNaIEAAggggAACCCCAAAIIIIBA0gpQOEja1DNwBBBAAAEEEEAAAQQQQAABBEILUDgIbUQLBBBAAAEEEEAAAQQQQAABBJJWgMJB0qaegSOAAAIIIIAAAggggAACCCAQWoDCQWgjWiCAAAIIIIAAAggggAACCCCQtAIUDpI29QwcAQQQQAABBBBAAAEEEEAAgdACFA5CG9ECAQQQQAABBBBAAAEEEEAAgaQVoHCQtKln4AgggAACCCCAAAIIIIAAAgiEFqBwENqIFggggAACCCCAAAIIIIAAAggkrQCFg6RNPQNHAAEEEEAAAQQQQAABBBBAILQAhYPQRrRAAAEEEEAAAQQQQAABBBBAIGkFKBwkbeoZOAIIIIAAAggggAACCCCAAAKhBSgchDaiBQIIIIAAAggggAACCCCAAAJJK0DhIGlTz8ARQAABBBBAAAEEEEAAAQQQCC1A4SC0ES0QQAABBBBAAAEEEEAAAQQQSFoBCgdJm3oGjgACCCCAAAIIIIAAAggggEBoAQoHoY1ogQACCCCAAAIIIIAAAggggEDSClA4SNrUM3AEEEAAAQQQQAABBBBAAAEEQgtQOAhtRAsEEEAAAQQQQAABBBBAAAEEklaAwkHSpp6BI4AAAggggAACCCCAAAIIIBBagMJBaCNaIIAAAggggAACCCCAAAIIIJC0AhQOkjb1DBwBBBBAAAEEEEAAAQQQQACB0AIUDkIb0QIBBBBAAAEEEEAAAQQQQACBpBWgcJC0qWfgCCCAAAIIIIAAAggggAACCIQWoHAQ2ogWCCCAAAIIIIAAAggggAACCCStAIWDpE09A0cAAQQQQAABBBBAAAEEEEAgtACFg9BGtEAAAQQQQAABBBBAAAEEEEAgaQUoHCRt6hk4AggggAACCCCAAAIIIIAAAqEFKByENqIFAggggAACCCCAAAIIIIAAAkkrQOEgaVPPwBFAAAEEEEAAAQQQQAABBBAILUDhILQRLRBAAAEEEEAAAQQQQAABBBBIWgEKB0mbegaOAAIIIIAAAggggAACCCCAQGgBCgehjWiBAAIIIIAAAggggAACCCCAQNIKUDhI2tQzcAQQQAABBBBAAAEEEEAAAQRCC1A4CG1ECwQQQAABBBBAAAEEEEAAAQSSVoDCQdKmnoEjgAACCCCAAAIIIIAAAgggEFqAwkFoI1oggAACCCCAAAIIIIAAAgggkLQCFA6SNvUMHAEEEEAAAQQQQAABBBBAAIHQAhQOQhvRAgEEEEAAAQQQQAABBBBAAIGkFaBwkLSpZ+AIIIAAAggggAACCCCAAAIIhBagcBDaiBYIIIAAAggggAACCCCAAAIIJK0AhYOkTT0DRwABBBBAAAEEEEAAAQQQQCC0AIWD0Ea0QAABBBBAAAEEEEAAAQQQQCBpBSgcJG3qGTgCCCCAAAIIIIAAAggggAACoQUoHIQ2ogUCCCCAAAIIIIAAAggggAACSStA4SBpU8/AEUAAAQQQQAABBBBAAAEEEAgtQOEgtBEtEEAAAQQQQAABBBBAAAEEEEhaAQoHSZt6Bt7cArte36XzM85v7jBYPwIIIIAAAggggAACCCDQpACFgyZ5eBGBxgIfHPmg8ZNRPtOxY6col2QxBGIXMAtXZgErHjcKYfFQpA8EEEAAA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" alt></p>
<p>The vertical sections are separated by a horizontal distance of 0.13 m. An observer views them from a distance of 720 m. The wavelength of the emitted light is 510 nm and the diameter of the aperture of the observer’s eye is 3.0 mm.</p>
<p>(i) Determine if the images formed on the retina of the observer will be resolved.</p>
<p>(ii) One of the vertical sections is switched off. The observer looks at the illuminated vertical section. The diameter of the aperture of the observer’s eye is now 2.5 mm.</p>
<p>Calculate the angular width of the central maximum of the diffraction pattern formed on the observer’s retina.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) diffraction;</p>
<p>(ii) the first minimum of one diffraction pattern;<br>falls on central maximum of other diffraction pattern;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(\theta = \left( {1.22 \times \frac{{5.1 \times {{10}^{ - 7}}}}{{3.0 \times {{10}^{ - 3}}}} = } \right)2.1 \times {10^{ - 4}}\left( {{\rm{rad}}} \right)\);<br>angular separation of sections\( = \left( {\frac{{0.13}}{{720}} = } \right)1.8 \times {10^{ - 4}}\left( {{\rm{rad}}} \right)\)/ required minimum<br>separation for resolution\( = \left( {2.1 \times {{10}^{ - 4}} \times 720 = } \right)0.15{\rm{m}}\);<br>they cannot be resolved;<br><em>Ignore omission of 1.22 (gives θ=1.7×10<sup>–4</sup> and (ECF) are just resolved).</em><br><em>Award <strong>[0]</strong> for a bald correct answer.</em></p>
<p>(ii) \(\theta = \left( {1.22 \times \frac{{510 \times {{10}^{ - 9}}}}{{3.5 \times {{10}^{ - 3}}}} = } \right)1.78 \times {10^{ - 4}}\left( {{\rm{rad}}} \right)\);<br>\(3.6 \times {10^{ - 4}}\left( {{\rm{rad}}} \right)\);<br><em>Ignore omission of 1.22 (gives 2.9×10<sup>–4</sup> (rad)).</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>There is a proposal to power a space satellite X as it orbits the Earth. In this model, X is connected by an electronically-conducting cable to another smaller satellite Y.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>Satellite Y orbits closer to the centre of Earth than satellite X. Outline why</p>
</div>
<div class="specification">
<p>The cable acts as a spring. Satellite Y has a mass <em>m</em> of 3.5 x 10<sup>2</sup> kg. Under certain circumstances, satellite Y will perform simple harmonic motion (SHM) with a period <em>T</em> of 5.2 s.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Satellite X orbits 6600 km from the centre of the Earth.</p>
<p style="text-align: center;">Mass of the Earth = 6.0 x 10<sup>24</sup> kg</p>
<p>Show that the orbital speed of satellite X is about 8 km s<sup>–1</sup>.</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 orbital times for X and Y are different.</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>satellite Y requires a propulsion system.</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 cable between the satellites cuts the magnetic field lines of the Earth at right angles.</p>
<p style="text-align: center;"><img 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"></p>
<p style="text-align: left;">Explain why satellite X becomes positively charged.</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>Satellite X must release ions into the space between the satellites. Explain why the current in the cable will become zero unless there is a method for transferring charge from X to Y.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The magnetic field strength of the Earth is 31 μT at the orbital radius of the satellites. The cable is 15 km in length. Calculate the emf induced in the cable.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the value of <em>k</em> in the following expression.</p>
<p style="text-align: center;"><em>T</em> = \(2\pi \sqrt {\frac{m}{k}} \)</p>
<p>Give an appropriate unit for your answer. Ignore the mass of the cable and any oscillation of satellite X.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the energy changes in the satellite Y-cable system during one cycle of the oscillation.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.ii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>«\(v = \sqrt {\frac{{G{M_E}}}{r}} \)» = \(\sqrt {\frac{{6.67 \times {{10}^{ - 11}} \times 6.0 \times {{10}^{24}}}}{{6600 \times {{10}^3}}}} \)</p>
<p>7800 «m s<sup>–1</sup>»</p>
<p><em>Full substitution required</em></p>
<p><em>Must see 2+ significant figures.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Y has smaller orbit/orbital speed is greater so time period is less</p>
<p><em>Allow answer from appropriate equation</em></p>
<p><em>Allow converse argument for X</em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>to stop Y from getting ahead</p>
<p>to remain stationary with respect to X</p>
<p>otherwise will add tension to cable/damage satellite/pull X out of its orbit</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>cable is a conductor and contains electrons</p>
<p>electrons/charges experience a force when moving in a magnetic field</p>
<p>use of a suitable hand rule to show that satellite Y becomes negative «so X becomes positive»</p>
<p><em><strong>Alternative 2</strong></em></p>
<p>cable is a conductor</p>
<p>so current will flow by induction flow when it moves through a B field</p>
<p>use of a suitable hand rule to show current to right so «X becomes positive»</p>
<p><em>Marks should be awarded from either one alternative or the other.</em></p>
<p><em>Do not allow discussion of positive charges moving towards X</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>electrons would build up at satellite Y/positive charge at X</p>
<p>preventing further charge flow</p>
<p>by electrostatic repulsion</p>
<p>unless a complete circuit exists</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«<em>ε</em> = <em>Blv =</em>» 31 x 10<sup>–6</sup> x 7990 x 15000</p>
<p>3600 «V»</p>
<p><em>Allow 3700 «V» from v = 8000 m s<sup>–1</sup>.</em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>use of <em>k</em> = «\(\frac{{4{\pi ^2}m}}{{{T^2}}} = \)» \(\frac{{4 \times {\pi ^2} \times 350}}{{{{5.2}^2}}}\)</p>
<p>510</p>
<p>N m<sup>–1</sup> <em><strong>or</strong> </em>kg s<sup>–2</sup></p>
<p><em>Allow MP1 and MP2 for a bald correct answer</em></p>
<p><em>Allow 500</em></p>
<p><em>Allow N/m etc.</em></p>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>E</em><sub>p</sub> in the cable/system transfers to <em>E</em><sub>k</sub> of Y</p>
<p>and back again twice in each cycle</p>
<p><em>Exclusive use of gravitational potential energy negates MP1</em></p>
<div class="question_part_label">f.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>
<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>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about the properties of waves.</p>
<p>Microwaves from a microwave transmitter are reflected from two parallel sheets, A and B. Sheet A partially reflects microwave energy while allowing some to pass through. All of the microwave energy incident on sheet B is reflected.</p>
<p><img 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" alt></p>
<p>Sheet A is fixed and sheet B is moved towards it. While sheet B is moving, the intensity of the signal detected at the receiver goes through a series of maximum and minimum values.</p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline why a minimum in the intensity occurs for certain positions of sheet 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>The apparatus is arranged to demonstrate diffraction effects.</p>
<p><img 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" alt></p>
<p>The microwaves emerge from the transmitter through an aperture that acts as a single slit.</p>
<p>(i) Outline what is meant by diffraction.</p>
<p>(ii) A maximum signal strength is observed at P. When the receiver is moved through an angle \(\theta \), a first minimum is observed. The width of the aperture of the transmitter is 60 mm. Estimate the value of \(\theta \).</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>Microwaves can be used to demonstrate polarization effects. Outline why an ultrasound receiver and transmitter <strong>cannot</strong> be used to demonstrate polarization.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">mention of interference;<br>interference is between reflected waves from both reflectors;<br>minimum caused (by destructive interference) when crest meets trough/when path difference is \(\frac{\lambda }{2}\) </span><span style="font-size: 11.000000pt; font-family: 'Arial';">/ (completely) out of phase / phase difference of </span><span style="font-size: 11.000000pt; font-family: 'Arial';">\(\pi \)/180º</span> <span style="font-size: 11.000000pt; font-family: 'Arial';">/ </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">OWTTE</span></em><span style="font-size: 11.000000pt; font-family: 'Arial';">;<br>minimum occurs when twice the distance between plates is </span><span style="font-size: 11.000000pt; font-family: 'SymbolMT';">\(\left( {n + \frac{1}{2}} \right)\lambda \)</span><span style="font-size: 11.000000pt; font-family: 'Arial';">; </span></p>
<p><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>Ignore references to standing waves.</em> </span></p>
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</div>
<div class="question_part_label">a.</div>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(i) spreading out of a wave; </span><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>(do not allow “bending” even if context is obstacle)</em> <br></span><span style="font-size: 11.000000pt; font-family: 'Arial';">when it meets an aperture/gap/slit/obstacle;<br> </span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Allow credit for answers appearing on clear labelled diagram for both marks. </span></em></p>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">(ii) </span><span style="font-size: 11.000000pt; font-family: 'Arial';">\(\left( {\theta = \frac{{32}}{{60}} = } \right)0.533\left( {{\rm{rad}}} \right)\) </span><em><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">or </span></strong></em><span style="font-size: 11.000000pt; font-family: 'Arial';">30.6(</span>º<span style="font-size: 11.000000pt; font-family: 'Arial';">);<br></span><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[0] </span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">for calculation that uses 1.22 (0.65 rad).<br>Award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[0] </span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">for 0.533</span><span style="font-size: 7pt; font-family: 'MTExtra'; vertical-align: 5pt;">º </span><span style="font-size: 11pt; font-family: 'Arial,Italic';">or 30.6 rad.<br>At least one centre is using the abbreviation </span><span style="font-size: 7pt; font-family: 'Arial,Italic'; vertical-align: 3pt;">c </span></em><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>for rad. Please allow this.</em></span></p>
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</div>
<div class="question_part_label">c.</div>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">sound waves (in air) are longitudinal;<br>longitudinal waves cannot be polarized / only transverse waves can be polarized;</span></p>
<p><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Award </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[0] </span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">for any suggestion that ultrasound is an electromagnetic wave. </span></em></p>
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<div class="question_part_label">d.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
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<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
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<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
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<br><hr><br><div class="specification">
<p>This question is about the Doppler effect.</p>
<p>A source emits sound of frequency 100Hz. The speed of sound in air is 330ms<sup>–1</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the frequency measured by an observer when</p>
<p>(i) the observer is stationary and the source is moving towards the observer at 120 ms<sup>–1</sup>.</p>
<p>(ii) the source is stationary and the observer is moving towards the source at 120 ms<sup>–1</sup>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>When both source and observer are stationary the wavelength is <em>λ</em><sub>0</sub> and the wavespeed is <em>v</em><sub>0</sub>.</p>
<p>In the table below, compare the values of measured wavelength and measured wavespeed, as measured by the observer, with respect to <em>λ</em><sub>0</sub> and <em>v</em><sub>0</sub>. One of the values is given for you.</p>
<p><img src="data:image/png;base64,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" alt></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>(i) \(f' = \left( {f\left[ {\frac{v}{{v - {u_s}}}} \right] = } \right)100 \times \left[ {\frac{{330}}{{330 - 120}}} \right]\);<br><em>f</em>'=157Hz;</p>
<p>(ii) \(f' = \left( {f\left[ {\frac{{v + {u_0}}}{{{v_s}}}} \right] = } \right)100 \times \left[ {\frac{{330 + 120}}{{330}}} \right]\);<br><em>f</em>'=136Hz;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img 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" alt></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>This question is about diffraction and interference.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Light of wavelength 620 nm from a laser is incident on a single rectangular slit of width 0.45 mm.</p>
<p><img 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" alt></p>
<p>After passing through the slit, the light is incident on a screen that is a distance of 3.4 m from the slit. Calculate the distance between the centre and the first minimum of the diffraction pattern.</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 laser in (a) is replaced by two identical lasers so that the light from both lasers illuminates the slit. The lasers are both 6.0 m from the slit. The two diffraction patterns on the screen are resolved according to the Rayleigh criterion.</p>
<p><img 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" alt></p>
<p>(i) State what is meant by the Rayleigh criterion.</p>
<p>(ii) The minimum separation of the two laser beams is <em>x</em>. Determine <em>x</em>.</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>Compare the appearance of a single-slit diffraction pattern formed by laser light to that formed by a source of white light.</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>\(\theta = \frac{{6.2 \times {{10}^{ - 7}}}}{{4.5 \times {{10}^{ - 4}}}}\left( { = 1.38 \times {{10}^{ - 3}}} \right)\);<br>distance ( =1.38×10<sup>–3</sup>×3.4=4.68)≈4.7mm;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) in order to be (just) resolved the first minimum of diffraction pattern (of one image) coincides with the central maximum of the other (image) / <em>OWTTE</em>;</p>
<p>(ii) criterion specifies >4.7mm in this case / clear use of answer to (a) as distance;<br>\(\left( {\frac{{4.7}}{{3.4}} \times 6.0} \right) = 8.3{\rm{mm}}\);<br><em>Award <strong>[1 max]</strong> if factor of 1.22 used.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>for white light:</em><br>central maximum white, laser central maximum is monochromatic;<br>white light fringes/lines will be coloured;<br>blue diffracted least / <em>OWTTE</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>This question is about sound.</p>
<p>A source emits sound of frequency \(f\). The source is moving towards a stationary observer at constant speed. The observer measures the frequency of the sound to be \(f'\).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Explain, using a diagram, why \(f'\) is greater than \(f\).</p>
<p>(ii) The frequency \(f\) is 275 Hz. The source is moving at speed 20.0 ms<sup>–1</sup>. The speed of sound in air is 330 ms<sup>–1</sup>. Calculate the observed frequency \(f'\) of the sound.</p>
<div class="marks">[5]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A source of sound is placed in front of a barrier that has an opening of width comparable to the wavelength of the sound.</p>
<p><img 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" alt></p>
<p>A sound detector is moved along the line XY. The centre of XY is marked O.</p>
<p>(i) On the axes below, sketch a graph to show how the intensity <em>I</em> of the sound varies as the detector moves from X to Y.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) State the effect on the intensity pattern of increasing the wavelength of the sound.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Outline the difference between a polarized wave and an unpolarized wave.</p>
<p>(ii) State why sound waves cannot be polarized.</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>(i) diagram showing (circular) wavefronts around source, so that wavefronts are closer together on side of observer;<br>speed of sound waves for observer is the same (as for stationary case) but observed wavelength is smaller;</p>
<p>since \(f' = \frac{v}{{\lambda '}}\), (observed frequency is larger);</p>
<p>(ii) \(f'\left( { = f\left[ {\frac{v}{{v - {u_s}}}} \right]} \right) = 275\left[ {\frac{{330}}{{330 - 20}}} \right]\);<br>=293(Hz);</p>
<p><em>Award <strong>[0]</strong> for use of moving observer formula.</em><br><em>Award <strong>[1]</strong> for use of v+u<sub>s</sub> to give 259 (Hz).</em><br><em>Award <strong>[2]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) central symmetrical maximum;<br>at least one secondary maximum on each side, no more than one third the height of the central maximum; { <em>(judge by eye)<br></em></p>
<p>minima drawn to zero, <em>ie</em> touching axis;<br>width of the secondary maximum half the width of the primary maximum; { <em>(judge by eye)</em></p>
<p><img 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" alt></p>
<p>(ii) greater distance between maxima/minima / pattern more spread out;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) in a polarized wave, the <span style="text-decoration: underline;">oscillations</span>/<span style="text-decoration: underline;">vibrations</span> are in one direction/plane only;<br>in an unpolarized wave, the oscillations/vibrations are in all directions/ planes (perpendicular to the direction of energy transfer);<br><em>Must see mention of oscillations or vibrations in first or second marking point.</em></p>
<p>(ii) sound waves are longitudinal / the oscillations/vibrations are always parallel to direction of energy transfer;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">ai) Many candidates scored the first mark for the diagram showing the wavefronts closer on the side of the observer </span><span style="font-size: 10.000000pt; font-family: 'Arial';">but most of the written explanations just repeated this and didn’t expand further. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">aii) This question was very well answered with the majority of candidates choosing the appropriate formula and evaluating correctly. </span></p>
</div>
</div>
</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">bi) Most candidates were able to score full marks on this question. </span></p>
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">bii) Again this was answered successfully. </span></p>
</div>
</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<div class="page" title="Page 19">
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">ci) Few candidates included the words oscillations or vibrations in their answers and consequently scored zero marks. </span></p>
<p><span style="font-size: 10.000000pt; font-family: 'Arial';">cii) Many recognized that sound waves are longitudinal and that is why they cannot be polarized. </span></p>
</div>
</div>
</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>Monochromatic light is incident normally on four thin, parallel, rectangular slits.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">The graph shows the variation with diffraction angle <em>θ</em> of the intensity of light <em>I</em> at a distant screen.</p>
<p style="text-align: left;"><img 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" alt></p>
<p style="text-align: left;"><em>I</em><sub>0</sub> is the intensity of the light at the middle of the screen from <strong>one</strong> slit.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why the intensity of light at <em>θ</em>=0 is 16<em>I</em><sub>0</sub>.</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>The width of each slit is 1.0μm. Use the graph to</p>
<p>(i) estimate the wavelength of light.</p>
<p>(ii) determine the separation of <strong>two</strong> consecutive slits.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The arrangement is modified so that the number of slits becomes very large. Their separation and width stay the same.</p>
<p>(i) State <strong>two</strong> changes to the graph on page 20 as a result of these modifications.</p>
<p>(ii) A diffraction grating is used to resolve two lines in the spectrum of sodium in the second order. The two lines have wavelengths 588.995nm and 589.592nm.</p>
<p>Determine the minimum number of slits in the grating that will enable the two lines to be resolved.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>constructive interference</p>
<p>amplitude/amount of light from 4 slits is 4 × amplitude «from one slit»</p>
<p>intensity is proportional to amplitude<sup>2</sup> <em><strong>OR</strong></em> shows 4<sup>2</sup> = 16 in context of intensity</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i)<br> «diffraction minimum at» <em>θ</em>=0.43rad<br>\(\lambda = \ll b\theta = 1.0 \times {10^{ - 6}} \times 0.43 = \gg 4.3 \times {10^{ - 7}}{\rm{m}}\)</p>
<p><em>Accept θ in range 0.41 to 0.45 </em><em>rad.</em><br><em>Allow λ=bsinθ but do not allow </em><em>nλ=dsinθ.</em><br><em>Award <strong>[1 max]</strong> for solution using</em> <em>factor of 1.22.</em><br><em>Award<strong> [0]</strong> if use of \(s = \frac{{\lambda D}}{d}\) seen.</em></p>
<p>(ii)<br> «first secondary maximum at» <em>θ</em>=0.125rad </p>
<p>\(d = \frac{{1 \times {\rm{value from (b)(i)}}}}{{\sin 0.125}} = 3.4 \times {10^{ - 6}}{\rm{m}}\)</p>
<p><em>Accept q in range 0.123 to 0.127 rad.</em><br><em>Sine must be seen to award MP2.</em><br><em>Allow ECF from (b)(i).</em><br><em>Allow use of 2nd or 3rd maxima (0.25 rad and 3.46 μm or 0.375 rad and 3.5 μm with appropriate n).</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i)<br>primary maxima/fringes become brighter/more intense <br>primary maxima become narrower/sharper <br>secondary maxima become unimportant/less intense/disappear </p>
<p><em>Insist on “secondary” for MP3.</em></p>
<p>(ii)<br>\(N = \ll \frac{{\bar \lambda }}{{m\Delta \lambda }} = \gg \frac{{589.2935}}{{2 \times 0.5970}}\)<br><em>N</em>=494 <em><strong>or</strong></em> 500</p>
<p><em>Allow use of 588.995 nm or 589.592 nm for \({\bar \lambda }\).</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 longitudinal wave is travelling in a medium from left to right. The graph shows the variation with distance <em>x</em> of the displacement <em>y</em> of the particles in the medium. The solid line and the dotted line show the displacement at <em>t</em>=0 and <em>t</em>=0.882 ms, respectively.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The period of the wave is greater than 0.882 ms. A displacement to the right of the equilibrium position is positive.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Calculate the speed of this wave.</p>
<p>(ii) Show that the angular frequency of oscillations of a particle in the medium is ω=1.3×10<sup>3</sup>rads<sup>−1</sup>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>One particle in the medium has its equilibrium position at <em>x</em>=1.00 m.</p>
<p>(i) State and explain the direction of motion for this particle at <em>t</em>=0.</p>
<p>(ii) Show that the speed of this particle at <em>t</em>=0.882 ms is 4.9ms<sup>−1</sup>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The travelling wave in (b) is directed at the open end of a tube of length 1.20 m. The other end of the tube is closed.</p>
<p>(i) Describe how a standing wave is formed.</p>
<p>(ii) Demonstrate, using a calculation, that a standing wave will be established in this tube.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i)<br><em><strong>ALTERNATIVE 1</strong></em><br>«distance travelled by wave =» 0.30 m <br>\(v = \ll \frac{{{\rm{distance}}}}{{{\rm{time}}}} = \gg 340{\rm{m}}{{\rm{s}}^{ - 1}}\)</p>
<p><em><strong>ALTERNATIVE 2</strong></em><br>evaluates \(T = \frac{{{\rm{0.882}} \times {{10}^{ - 3}} \times 1.6}}{{{\rm{0.3}}}}\)«=4.7ms» to give <em>f</em> = 210 <em><strong>or</strong></em> 212 Hz</p>
<p>uses <em>λ</em>=1.6 m with <em>v</em>=<em>fλ</em> to give 340ms<sup>–1</sup> </p>
<p>(ii)<br><em><strong>ALTERNATIVE 1</strong></em><br><em>λ</em>=1.60m <br>\(\omega = \ll 2\pi f = \gg 2\pi \times \frac{{340}}{{1.60}} = 1.3 \times {10^3}\) <em><strong>or</strong></em> 1.34×10<sup>3</sup>rads<sup>–1</sup></p>
<p><em><strong>ALTERNATIVE 2</strong></em></p>
<p>«0.882 ms is \(\frac{{0.3}}{{1.6}}\) of cycle so whole cycle is» \(\frac{{2\pi \times 3}}{{16 \times 0.882 \times {{10}^{ - 3}}}}\)<br>1.35×10<sup>3</sup>rads<sup>–1</sup></p>
<p><em>Allow ECF from (b)(i).</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i)<br>the displacement of the particle decreases <em><strong>OR</strong></em> «on the graph» displacement is going in a negative direction <em><strong>OR</strong></em> on the graph the particle goes down <em><strong>OR</strong></em> on the graph displacement moves towards equilibrium/0</p>
<p>to the left </p>
<p><em>Do not allow “moving downwards”.</em></p>
<p>(ii)<br><em> y</em>=–1.5mm</p>
<p>\(v = 2\pi \times 212 \times \sqrt {{{\left( {4.0 \times {{10}^{ - 3}}} \right)}^2} - {{\left( {1.5 \times {{10}^{ - 3}}} \right)}^2}} \)</p>
<p>«<em>v</em>=4.939≈4.9ms<sup>-1</sup>»</p>
<p><em>Allow ECF from (b)(ii).</em></p>
<p><em>Do not allow \(\frac{{4.3{\rm{mm}}}}{{0.882{\rm{ms}}}} = 4.87{\rm{m}}{{\rm{s}}^{ - 1}}\).</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i)<br> the superposition/interference of two oppositely moving/reflected «identical travelling» waves</p>
<p>(ii)<br>the allowed wavelengths in the tube are \(\lambda = \frac{{4L}}{n} = \frac{{480}}{n}\), <em>n</em> = 1, 3, 5,…</p>
<p><em><strong>OR</strong></em></p>
<p>diagram showing \(\frac{3}{4}\) of a standing wavelength in the tube </p>
<p>\(1.6 = \frac{{4.80}}{n} \Rightarrow n = 3\)</p>
<p><em><strong>OR</strong></em></p>
<p>justification that \(\frac{3}{4} \times 1.6 = 1.2{\rm{m}}\)</p>
<p><em>Allow diagram showing \(\frac{3}{4}\) of a wavelength for MP1.</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">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>A student investigates how light can be used to measure the speed of a toy train.</p>
<p style="text-align: center;"><img 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"><img src="blob:https://questionbank.ibo.org/55ba542d-3306-4ee7-8386-825edadb928d"></p>
<p>Light from a laser is incident on a double slit. The light from the slits is detected by a light sensor attached to the train.</p>
<p>The graph shows the variation with time of the output voltage from the light sensor as the train moves parallel to the slits. The output voltage is proportional to the intensity of light incident on the sensor.</p>
<p style="text-align: center;"><img 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"></p>
<p style="text-align: center;"><img src="blob:https://questionbank.ibo.org/4e0f3fdc-c845-43ef-ba7c-39bab20625cf"></p>
<p> </p>
</div>
<div class="specification">
<p>As the train continues to move, the first diffraction minimum is observed when the light sensor is at a distance of 0.13 m from the centre of the fringe pattern.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the width of one of the slits.</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>Suggest the variation in the output voltage from the light sensor that will be observed as the train moves beyond the first diffraction minimum.</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>In another experiment the student replaces the light sensor with a sound sensor. The train travels away from a loudspeaker that is emitting sound waves of constant amplitude and frequency towards a reflecting barrier.</p>
<p style="text-align: center;"><img 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"></p>
<p>The graph shows the variation with time of the output voltage from the sounds sensor.</p>
<p style="text-align: center;"><img 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"></p>
<p>Explain how this effect arises.</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>angular width of diffraction minimum = \(\frac{{0.13}}{{5.0}}\) «= 0.026 rad»</p>
<p>slit width = «\(\frac{\lambda }{d} = \frac{{6.3 \times {{10}^{ - 7}}}}{{0.026}} = \)» 2.4 x 10<sup>–5</sup> «m»</p>
<p> </p>
<p><em>Award <strong>[1 max]</strong> for solution using 1.22 factor.</em></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«beyond the first diffraction minimum» average voltage is smaller<br><br>«voltage minimum» spacing is «approximately» same<br><em><strong>OR</strong></em><br>rate of variation of voltage is unchanged</p>
<p> </p>
<p><em>OWTTE</em></p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«reflection at barrier» leads to two waves travelling in opposite directions </p>
<p>mention of formation of standing wave</p>
<p>maximum corresponds to antinode/maximum displacement «of air molecules»<br><em><strong>OR</strong></em><br>complete cancellation at node position</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">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">d.</div>
</div>
<br><hr><br>