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</div><h2>HL Paper 2</h2><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 class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about a lightning discharge. <strong>Part 2 </strong>is about microwave radiation.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Microwave radiation</p>
<p class="p1">A microwave transmitter emits radiation of a single wavelength towards a metal plate along a line normal to the plate. The radiation is reflected back towards the transmitter.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_13.24.26.png" alt="N10/4/PHYSI/HP2/ENG/TZ0/B2.Part2"></p>
<p class="p1">A microwave detector is moved along a line normal to the microwave transmitter and the metal plate. The detector records a sequence of equally spaced maxima and minima of intensity.</p>
</div>
<div class="specification">
<p class="p1">The microwave detector is moved through 130 mm from one point of minimum intensity to another point of minimum intensity. On the way it passes through nine points of maximum intensity. Calculate the</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Explain how these maxima and minima are formed.</p>
<div class="marks">[4]</div>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>wavelength of the microwaves.</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>frequency of the microwaves.</p>
<div class="marks">[4]</div>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Describe and explain how it could be demonstrated that the microwaves are polarized.</p>
<div class="marks">[3]</div>
<div class="question_part_label">Part2.c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">standing wave formed;</p>
<p class="p1">by superposition/interference of (forward) wave and reflected wave;</p>
<p class="p1">maximum where interference is constructive / minimum where interference is destructive;</p>
<p class="p1">maxima where waves in phase;</p>
<p class="p1">minima where waves are <span style="text-decoration: underline;">completely/180°/\(\pi \)/half wavelength</span> out of phase;</p>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) <span class="Apple-converted-space"> </span>\({\text{130 mm}} \equiv {\text{9 half wavelengths}}\);</p>
<p class="p1">29 mm;</p>
<p class="p1">(ii) <span class="Apple-converted-space"> </span>\(f = \frac{c}{\lambda }\);</p>
<p class="p1">\( = 10{\text{ GHz}}\);</p>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">place a metal grid/analyser between source and detector;</p>
<p class="p1">electric field vector (of the microwaves) vibrates in only one direction/plane;</p>
<p class="p1">rotate the metal grid/detector;</p>
<p class="p1">until minimum signal is detected;</p>
<p class="p1"><strong><em>or</em></strong></p>
<p class="p1">electric field vector vibrates in only one direction/plane;</p>
<p class="p1">rotate transmitter through an angle;</p>
<p class="p1">need to rotate receiver through same angle to restore signal in transmitter;</p>
<div class="question_part_label">Part2.c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Few were able to give complete and convincing explanations of the formation of the standing wave. Common errors were to omit the consequence of the reflection at the metal plate. Superposition was often poorly or even not described. Details of the phase relationships were also poor.</p>
<div class="question_part_label">Part2.a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) and (ii) Candidates were very comfortable with these calculations although the number of wavelengths in (i) was often incorrect. Errors from (i) were carried forward to (ii) allowing many cases of full credit in this second part.</p>
<div class="question_part_label">Part2.b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Examiners saw very few good descriptions of the polarization demonstration. A number of techniques are available but it is clear that candidates have either not discussed these or find the concept difficult.</p>
<div class="question_part_label">Part2.c.</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>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>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,iVBORw0KGgoAAAANSUhEUgAAAxIAAAGbCAYAAABQ5KbyAAAgAElEQVR4Ae29D5Bdd5XfeVp4PWxKMSyrnXULz8TlcUmegBJt5DHF4MzKckbCGTtFhMFZsLGRizHZgfF41qjjwRAIMqRtrw0EGMiuVHbboYJn7HGCd40M6sizJrU4UlYVwSKpHMrUYLUruIgtqzLgWvXb+nXrtk4f3dvn16/Pu+/edz+3Ct7vz/nzPZ/fk/R+fr9f91iv1+sJDwQgAAEIQAACEIAABCAAgWUQWLUMW0whAAEIQAACEIAABCAAAQjMETin4DA2NlY0eYUABCAAAQhAAAIQgAAEIFBKoDjQtLCRSANpM1FMlHoxCAEIQAACEIAABCAAAQh0koDdK3C0qZNvA4qGAAQgAAEIQAACEIDAygiwkVgZP7whAAEIQAACEIAABCDQSQJsJDq57BQNAQhAAAIQgAAEIACBlRFgI7EyfnhDAAIQgAAEIAABCECgkwTYSHRy2SkaAhCAAAQgAAEIQAACKyPARmJl/PCGAAQgAAEIQAACEIBAJwmwkejkslM0BCAAAQhAAAIQgAAEVkaAjcTK+OENAQhAAAIQgAAEIACBThJgI9HJZadoCEAAAhCAAAQgAAEIrIwAG4mV8cMbAhCAAAQgAAEIQAACnSTARqKTy07REIAABCAAAQhAAAIQWBkBNhIr44c3BCAAAQhAAAIQgAAEOkmAjUQnl52iIQABCEAAAhCAAAQgsDICbCRWxg9vCEAAAhCAAAQgAAEIdJIAG4lOLjtFQwACEIAABCAAAQhAYGUE2EisjB/eEIAABCAAAQhAAAIQ6CQBNhKdXHaKhgAEIAABCEAAAhCAwMoIsJFYGT+8R47AazIz/Wm54sbHZGbkaqMgCEAAAhCAAAQgEEeAjUQcSyK1ncDsjBx88BPyvis/JfvbXgv6IQABCEAAAhCAwIAJsJEYMGDCt4zAf/temfrePfJrLZONXAhAAAIQgAAEIFA3ATYSdRPvdL6fy7E975dte47IbBM5rBqXTVdvkvHX1SBu7tuPCblibEzG5v63TSb2PCEHZ15bOvnJYzK9R/ttkBvv3SvHTjaS6NK1MAsBCEAAAhCAQKsJsJFo9fK1TfxJ+cnRvyrXXX6hDO+N9xfy2I0Xn/7wXnyIH5Oxi++Vg/9fXTxfkxcev0uueUDkpgPH5VSvJ6eOf1LOf/oOuebzz8iJKhmzP5bHbn23XP/0r8rk8V9Ib87vq7Lx8O2y+dbH5QX2ElXkGIcABCAAAQhAYAAEhvd5bgDFELLhBE78B9n7g8vk8otfP0ShvyLbH3xu7kN4+iC+8L/nbpdN59Qka/ZHsvdr35INN3xQbtg0PrepWjX+Drn147fJhoe+IwdOlO8IZp/bJ1/b80tyw43XyWXj586JXfDb81n54v6XaiqANBCAAAQgAAEIQECG+B+God9CAifl4L1XzP3X/IvvPSj6P+DPHtsj29IRnbV/JNOlH4Rn5cSB/fKD7b8pF5duX1+S6YlLZWzbP5XH9t4vN649/W3BFRPy4MEX5MSxvXLvjRvmv0lYe6Pc/+zMEsejZuXksWnZM7HtzDcPV0zInuljcrIJ1E8el6OH3ygbL1yz6A/gqvMvlI3ylOw98LNSlavW7ZC9vQMyuWVNyfxxOfT8S0swKXFhCAIQgAAEIAABCKyAQOlHuhXEw3WkCbxe1l60fq7C/3j4x/LTotbZH8vjk/fLU/JW2fGlW2TzeWVvq5/Jgb3/SbZ7x5qe+qL8s+m/Jh8/dkp6p34i+95+SG669AK55K7n5Lf+6UHp9V6RH+46R+55113y+AsV9wlOHpCv3rJTnl7/v8qrc986/EKOf+KvyENX3imPHPt5obry9ZxNt8tzD26X8UqLlU3Mvvi8HKr82bL9bgguH/KRsZUxwRsCEIAABCAAgfYRKPvE174qUFwTgXPkv3/rZbI1Zfvuj+T43FcSs3Ji/9fkI3u+L7L1Npl4119b9F/ZF4SlY02PvkkuPH/+SM7CuG2M3ySf+Pi7ZN3qVSKrxuXSv7NJxuU9suvjN58+znOerLv8HbJh5v+W7x0tv00we/z78u39F8n/ePnFsnou/rkyvuUfy7/pPSI71g3zWFUSMysnf/KcHLZ199s/vYk7vOMfyLYljozNX+hWd0IWLnmPyd13372QPbV1P03YMa+PzzxOj5Odh9sZbvOtM/3EqniquBXz6dXa2H5h00SfKq1pvHisje0X9eGz+O8zy8n26+RWrCWvEGg9gZ56RNKRcR4ILEHglX29nePSk/E7evteOdXrvfq93j2bx3siv9O758B/rnQ8dXR373d27uu9Umnx096+nZvOxJ2zO9V7Zd8dvXF5T2/30b9c8Eyxtsqm3s59P10YW9Q4rWl855/0vrfvm719R6uzLvKrpVPUVKJ/ju14b+vuH/ZOZWl5pffD3Tt645s/1dt3/BdZHtaIP/OWCH0IQAACEIAABKoI2M8NfCPR+q1gzQWsXivrN4yLzDwnz794Ul54akru2z8j4zv/UH530xsrxPxcnnvmWXnLtr8h51VYLAxvuFguSN9GrORZfZnc/s398vDb/rM8+pnflSvXv0HGxtKPV51uwI9JXSWrL7hYNqykvjnfE3Jkz22y5U6RXX98m2w5ffl6xWEJAAEIQAACEIAABDIJrPATW2YWzEaHwKoL5G/+dron8SP5wdMPyCc/8mWZGf89+dLvX169SZh9Xp557Jdl26Vvqo/D6nWyZfuHZPLfHJfeqeNy4NHflhfvvFI2f2Z/9Y9XrUnd3KXqygsYa8+6hH2WrNkZefb+j85vIqbvlx2XuNuzs0IwAAEIQAACEIAABFZKgI3ESgl2zr+4cH1Q7vvdW2XPzLhs3fURedebq+8+zD73b+Wxt2yWS0svYdcAMP2iue03yY03bJKZQ8/Li+U/XbUGIadTzH2r8/JZP2Vp/hL2RbL+gvmbHWWCZme+LX905SZ5279+s3xpfz2biIceeqhMyqIxz8abT8FybPSZ70UCTndyYkTY5MTwtObUnJMnwiZCa531eHojmETV42mNyhNRc4TWOuvx9EYwiarH05ry8ECgjQTYSLRx1YaqWV24Tjo2f0w++9515Res53Smy8XPi6xfe/ri8+DFz/8o2m0y8diR0z/uNf042D+Xvc+K7LjlyoofPzt4XQsZVl0k2255pxy+8x554Mj8hfHZme/KF+66Xw7v/LBcW3Uh/OSzct/7bpTPHd0ujz78Kdm+jm8iFpjSgAAEIAABCECgfgL6MoW9QKHnaENggUBx4dq5YD1vny5R37LosvRCnEWN05ett+7uHV24aVxcTF7mZeveL3rHDzzau+cDb+2l9/Tc/8Y/0Lvn0QO94wuxFyWvv/Pq0d6+3Tt7mwt98tbeB+55tHdAXZqev1QuvfG5S+p/2Tu6+z1n6lnwO12fFHbLK4U/88vjhTUEIAABCECgywTs54axBKPYvqQfEam6xTCvEIDAiBLgz/yILixlQQACEIAABAZAwH5u4GjTACATEgJtIqDPEae27qc67JjXH6SPPWfsabHzg9SWcuknadVjVovt16nN5va01q1Nc7RaU7/sfeD5JD/9lPX1WGrrfvIt6+uxMp8yrUv5lMWwY16/0LrcPN77wObtN4+N4/Wr8mi2NkaVT7Irnjp9tNYiP68QGAkC+usZ+3WFnqMNAQiMHoGcP/NTU1Nu4Z6NN58S5NhMTk4uqSUnRoRNTgxPa07NOXkibCK01lmPpzeCSVQ9ntaoPBE1R2itsx5PbwSTqHo8rSkPDwTaQMB+buBo00hsBykCAv0RsF9R9hcFLwhAAAIQgAAEukDAfm7gaFMXVp0aIQABCEAAAhCAAAQgEEyAjUQwUMJBYNQI6DPFVbV5Nt58iptj450zzokRYZMTw9OaU3NOngibCK111uPpjWASVY+nNSpPRM0RWuusx9MbwSSqHk9rysMDgTYSYCPRxlVDMwQgAAEIQAACEIAABIZMgDsSQ14A0kNgmATsWcdhaiE3BCAAAQhAAALNJmA/N/CNRLPXC3UQgAAEIAABCEAAAhBoJAE2Eo1cFkRBAAIQgAAEIAABCECg2QTYSDR7fVAHgYET0BcSU1v3U3I75vUH6WMvLHpa7PwgtaVc+kla9ZjVYvt1arO5Pa11a9McrdbUL3sfeD7JTz9lfT2W2rqffMv6eqzMp0zrUj5lMeyY1y+0LjeP9z6wefvNY+N4/ao8mq2NUeWT7IqnTh+ttcjPKwRGgoD+5Rf2l0zoOdoQgMDoEcj5Mx/xS50iYiT63i91isrjxfHmc7QmGy+ON58TI8fG45oTI8cmqh5Pb1QeL443n5h4Wuvk5umN0FpnPZ5er94crTk2OXk8rSkPDwTaQMB+buCy9UhsBykCAv0RsJem+ouCFwQgAAEIQAACXSBgPzdwtKkLq06NEIAABCAAAQhAAAIQCCbARiIYKOEgMGoE9Jniqto8G28+xc2x8c4Z58SIsMmJ4WnNqTknT4RNhNY66/H0RjCJqsfTGpUnouYIrXXW4+mNYBJVj6c15eGBQBsJsJFo46qhGQIQgAAEIAABCEAAAkMmwB2JIS8A6SEwTAL2rOMwtZAbAhCAAAQgAIFmE7CfG/hGotnrhToIQAACEIAABCAAAQg0kgAbiUYuC6Ig0BwCEeeMI2IkIt4546g8XhxvPkdrsvHiePM5MXJsPK45MXJsourx9Ebl8eJ484mJp7VObp7eCK111uPp9erN0Zpjk5PH05ry8ECgjQTYSLRx1dAMgUAC+h/B1Nb9Io0eszZ6Ttvbcd23MbSfblufYq54LYtjfXRf++m2ttHtKps0ru1SW/e1n25rG92usulqnoJHUb9mpduFnTeW5stsCv8m5anSqvVbGz1X1OTZ2Hntp9s6tm7n2pBn8d8VBTdeITAqBLgjMSorSR0Q6IOAPevYRwhcIAABCEAAAhDoCAH7uYFvJDqy8JQJAQhAAAIQgAAEIACBSAJsJCJpEgsCEIAABCAAAQhAAAIdIcBGoiMLTZkQ6JdA2bloG8uz8eZTvBwb78JiTowIm5wYntacmnPyRNhEaK2zHk9vBJOoejytUXkiao7QWmc9nt4IJlH1eFpTHh4ItJEAG4k2rhqaIQABCEAAAhCAAAQgMGQCXLYe8gKQHgLDJGAvTQ1TC7khAAEIQAACEGg2Afu5gW8kmr1eqIMABCAAAQhAAAIQgEAjCbCRaOSyIAoC9RHQ54hTW/eTCjvm9QfpY88Ze1rs/CC1pVz6SVr1mNVi+3Vqs7k9rXVr0xyt1tQvex94PslPP2V9PZbaup98y/p6rMynTOtSPmUx7JjXL7QuN4/3PrB5+81j43j9qjyarY1R5ZPsiqdOH621yM8rBEaCQE89IqJ6NCEAgVEnkPNnfmpqysXg2XjzKUGOzeTk5JJacmJE2OTE8LTm1JyTJ8ImQmud9Xh6I5hE1eNpjcoTUXOE1jrr8fRGMImqx9Oa8vBAoA0E7OcG7kiMxHaQIiDQHwF71rG/KHhBAAIQgAAEINAFAvZzA0eburDq1AgBCEAAAhCAAAQgAIFgAmwkgoESDgKjRkCfKa6qzbPx5lPcHBvvnHFOjAibnBie1pyac/JE2ERorbMeT28Ek6h6PK1ReSJqjtBaZz2e3ggmUfV4WlMeHgi0kQAbiTauGpohAAEIQAACEIAABCAwZALckRjyApAeAsMkYM86DlMLuSEAAQhAAAIQaDYB+7mBbySavV6ogwAEIAABCEAAAhCAQCMJsJFo5LIgCgIQgAAEIAABCEAAAs0mwEai2euDOgiEEEhfRZb9LwXXlwBTW/eLeT1mbWwfn/kls1y8PtzOcJtvnekndsVjOaZxPV/09VibfKq0LlUPPvPvAc0o530wTG7F+5lXCLSegP7lF/aXTOg52hCAwOgRyPkzH/FLnSJiJPreL3WKyuPF8eZztCYbL443nxMjx8bjmhMjxyaqHk9vVB4vjjefmHha6+Tm6Y3QWmc9nl6v3hytOTY5eTytKQ8PBNpAwH5u4LJ167eCFACB/gnYS1P9R8ITAhCAAAQgAIFRJ2A/N3C0adRXnPogAAEIQAACEIAABCAwAAJsJAYAlZAQGCUCEb/UKSJGYmrPQFvOUXm8ON58jtZk48Xx5nNi5Nh4XHNi5NhE1ePpjcrjxfHmExNPa53cPL0RWuusx9Pr1ZujNccmJ4+nNeXhgUAbCbCRaOOqoRkCEIAABCAAAQhAAAJDJsAdiSEvAOkhMEwC9qzjMLWQGwIQgAAEIACBZhOwnxv4RqLZ64U6CEAAAhCAAAQgAAEINJIAG4lGLguiINAcAjnnfz0bbz5Vm2PjnTPOiRFhkxPD05pTc06eCJsIrXXW4+mNYBJVj6c1Kk9EzRFa66zH0xvBJKoeT2vKwwOBNhJgI9HGVUMzBAIJ6H9sU1v3izR6zNroOW1vx3XfxtB+um19irnitSyO9dF97afb2ka3q2zSuLZLbd3XfrqtbXS7yqareQoeRf2alW4Xdt5Ymi+zKfyblKdKq9ZvbfRcUZNnY+e1n27r2Lqda0OexX9XFNx4hcCoEOCOxKisJHVAoA8C9qxjHyFwgQAEIAABCECgIwTs5wa+kejIwlMmBCAAAQhAAAIQgAAEIgmwkYikSSwIQAACEIAABCAAAQh0hAAbiY4sNGVCoF8CZeeibSzPxptP8XJsvAuLOTEibHJieFpzas7JE2ETobXOejy9EUyi6vG0RuWJqDlCa531eHojmETV42lNeXgg0EYCbCTauGpohgAEIAABCEAAAhCAwJAJcNl6yAtAeggMk4C9NDVMLeSGAAQgAAEIQKDZBOznBr6RaPZ6oQ4CEIAABCAAAQhAAAKNJMBGopHLgigI1EdAnyNObd1PKuyY1x+kjz1n7Gmx84PUlnLpJ2nVY1aL7depzeb2tNatTXO0WlO/7H3g+SQ//ZT19Vhq637yLevrsTKfMq1L+ZTFsGNev9C63Dze+8Dm7TePjeP1q/JotjZGlU+yK546fbTWIj+vEBgJAj31iIjq0YQABEadQM6f+ampKReDZ+PNpwQ5NpOTk0tqyYkRYZMTw9OaU3NOngibCK111uPpjWASVY+nNSpPRM0RWuusx9MbwSSqHk9rysMDgTYQsJ8buCMxEttBioBAfwTsWcf+ouAFAQhAAAIQgEAXCNjPDRxt6sKqUyMEIAABCEAAAhCAAASCCbCRCAZKOAiMGgF9priqNs/Gm09xc2y8c8Y5MSJscmJ4WnNqzskTYROhtc56PL0RTKLq8bRG5YmoOUJrnfV4eiOYRNXjaU15eCDQRgJsJNq4amiGAAQgAAEIQAACEIDAkAlwR2LIC0B6CAyTgD3rOEwt5IYABCAAAQhAoNkE7OcGvpFo9nqhDgIQgAAEIAABCEAAAo0kwEaikcuCKAhAAAIQgAAEIAABCDSbABuJZq8P6iAwcAL6QmJq635Kbse8/iB97IVFT4udH6S2lEs/Sases1psv05tNrentW5tmqPVmvpl7wPPJ/npp6yvx1Jb95NvWV+PlfmUaV3KpyyGHfP6hdbl5vHeBzZvv3lsHK9flUeztTGqfJJd8dTpo7UW+XmFwEgQ0L/8wv6SCT1HGwIQGD0COX/mI36pU0SMRN/7pU5Rebw43nyO1mTjxfHmc2Lk2Hhcc2Lk2ETV4+mNyuPF8eYTE09rndw8vRFa66zH0+vVm6M1xyYnj6c15eGBQBsI2M8NXLYeie0gRUCgPwL20lR/UfCCAAQgAAEIQKALBOznBo42dWHVqRECEIAABCAAAQhAAALBBNhIBAMlHARGjYA+U1xVm2fjzae4OTbeOeOcGBE2OTE8rTk15+SJsInQWmc9nt4IJlH1eFqj8kTUHKG1zno8vRFMourxtKY8PBBoIwE2Em1cNTRDAAIQgAAEIAABCEBgyAS4IzHkBSA9BIZJwJ51HKYWckMAAhCAAAQg0GwC9nMD30g0e71QBwEIQAACEIAABCAAgUYSYCPRyGVBFASaQyDinHFEjETEO2cclceL483naE02XhxvPidGjo3HNSdGjk1UPZ7eqDxeHG8+MfG01snN0xuhtc56PL1evTlac2xy8nhaUx4eCLSRABuJNq4amiEQSED/I5jaul+k0WPWRs9pezuu+zaG9tNt61PMFa9lcayP7ms/3dY2ul1lk8a1XWrrvvbTbW2j21U2Xc1T8Cjq16x0u7DzxtJ8mU3h36Q8VVq1fmuj54qaPBs7r/10W8fW7Vwb8iz+u6LgxisERoUAdyRGZSWpAwJ9ELBnHfsIgQsEIAABCEAAAh0hYD838I1ERxaeMiEAAQhAAAIQgAAEIBBJgI1EJE1iQSCXwOyMHHxwQq4YG5O0ux8b2yYTe56QgzOv5UYQOfms3HvFO2Ri+qV8HywhAAEIQAACEIBAEAE2EkEgCQOBfAKvyQuP3yXXPCBy04HjcqrXk1PHPynnP32HXPP5Z+RETqCT35cHP/M5+bP9v8ixXpFN2bloG9Cz8eZTvBwb78JiTowIm5wYntacmnPyRNhEaK2zHk9vBJOoejytUXkiao7QWmc9nt4IJlH1eFpTHh4ItJEAG4k2rhqa201g9key92vfkg03fFBu2DQu6Q/hqvF3yK0fv002PPQdOXBidon6XpOZgw/JxO9Ny6+/9+/K6iUsmYIABCAAAQhAAAKDJMBl60HSJTYEygicmJaJS3aKPPwtmdyy5oxF1fgZC5k9tkeuuuUvZOLrd8jmVx+Wq9Z/RTbuM3GUvde0l6Y8e+YhAAEIQAACEOguAfu54ZzuoqByCAyHwOyLz8uhGZGNpemPy6HnX5JZWTP3TYU1WbX2anngm2tkfPUqmX3VztKHAAQgAAEIQAAC9RHgaFN9rMkEARGZlZM/eU4O98ti9S/PbSKW6z5/obu42H3mNcXRZ3dTW/eLeT1mbWwfn/nVsVy8PtzOcJtvnekndsVjOaZxPV/09VibfKq0LlUPPvPvAc0o530wTG7F+5lXCLSeQE89IqJ6NCEAgXgCp3qv7LujNy6bejv3/XRx+Ff29XaOj/e27v5h79TimdLeqaO7e1vL4pRalw/m/Jmfmpoqd1ajno03n0Ll2ExOTqqsZzdzYkTY5MTwtObUnJMnwiZCa531eHojmETV42mNyhNRc4TWOuvx9EYwiarH05ry8ECgDQTs5wbuSLR+K0gBbSMwd8+h7G7D3B2J6+XQrml5csclpUebdK2VcbSR07ZnHR1zpiEAAQhAAAIQ6DAB+7mBo00dfjNQ+nAIrDr/Qtk4XpV7rWy8sPx+RJUH4xCAAAQgAAEIQGAYBNhIDIM6ObtNYPVaWb/h5dOXqs+gmL+EfZGsv6BZP9Q14mexR8RIpOwZ6DP05ltRebw43nyO1mTjxfHmc2Lk2Hhcc2Lk2ETV4+mNyuPF8eYTE09rndw8vRFa66zH0+vVm6M1xyYnj6c15eGBQBsJsJFo46qhud0EVl0k2255pxy+8x554Mj8r5+bnfmufOGu++Xwzg/Ltete3+76UA8BCEAAAhCAQCcIcEeiE8tMkY0jcPKYTD+yWz5z892yf07cW+UD93xafv/9V8um8XPnRubvQNwsh3fukyOTW+Q8UwR3JAwQuhCAAAQgAAEIDJSAvSPBRmKguAkOgWYTsH8hNFst6iAAAQhAAAIQGCYB+7mBo03DXA1yQwACEIAABCAAAQhAoKUE2Ei0dOGQDYEoAvqiYGrrfsphx7z+IH3shUVPi50fpLaUSz9Jqx6zWmy/Tm02t6e1bm2ao9Wa+mXvA88n+emnrK/HUlv3k29ZX4+V+ZRpXcqnLIYd8/qF1uXm8d4HNm+/eWwcr1+VR7O1Map8kl3x1OmjtRb5eYXASBDQv/zC/pIJPUcbAhAYPQI5f+YjfqlTRIxE3/ulTlF5vDjefI7WZOPF8eZzYuTYeFxzYuTYRNXj6Y3K48Xx5hMTT2ud3Dy9EVrrrMfT69WbozXHJiePpzXl4YFAGwjYzw3ckRiJ7SBFQKA/AvasY39R8IIABCAAAQhAoAsE7OcGjjZ1YdWpEQIQgAAEIAABCEAAAsEE2EgEAyUcBEaNgD5TXFWbZ+PNp7g5Nt4545wYETY5MTytOTXn5ImwidBaZz2e3ggmUfV4WqPyRNQcobXOejy9EUyi6vG0pjw8EGgjATYSbVw1NEMAAhCAAAQgAAEIQGDIBLgjMeQFID0EhknAnnUcphZyQwACEIAABCDQbAL2cwPfSDR7vVAHAQhAAAIQgAAEIACBRhJgI9HIZUEUBJpDIOKccUSMRMQ7ZxyVx4vjzedoTTZeHG8+J0aOjcc1J0aOTVQ9nt6oPF4cbz4x8bTWyc3TG6G1zno8vV69OVpzbHLyeFpTHh4ItJEAG4k2rhqaIRBIQP8jmNq6X6TRY9ZGz2l7O677Nob2023rU8wVr2VxrI/uaz/d1ja6XWWTxrVdauu+9tNtbaPbVTZdzVPwKOrXrHS7sPPG0nyZTeHfpDxVWrV+a6Pnipo8Gzuv/XRbx9btXBvyLP67ouDGKwRGhQB3JEZlJakDAn0QsGcd+wiBCwQgAAEIQAACHSFgPzfwjURHFp4yIQABCEAAAhCAAAQgEEmAjUQkTWJBAAIQgAAEIAABCECgIwTYSHRkoSkTAv0SKDsXbWN5Nt58ipdj411YzIkRYZMTw9OaU3NOngibCK111uPpjWASVY+nNSpPRM0RWuusx9MbwSSqHk9rysMDgTYSYCPRxlVDMwQgAAEIQAACEIAABIZMgMvWQ14A0kNgmATspalhaiE3BCAAAQhAAALNJmA/N/CNRLPXC3UQgAAEIAABCEAAAhBoJAE2Eo1cFkRBoD4C+hxxaut+UmHHvP4gfew5Y0+LnR+ktpRLP0mrHrNabL9ObTa3p7VubZqj1Zr6Ze8Dzyf56aesr8dSW/eTb1lfj5X5lGldyqcshh3z+oXW5ebx3phJMMgAACAASURBVAc2b795bByvX5VHs7UxqnySXfHU6aO1Fvl5hcBIEOipR0RUjyYEIDDqBHL+zE9NTbkYPBtvPiXIsZmcnFxSS06MCJucGJ7WnJpz8kTYRGitsx5PbwSTqHo8rVF5ImqO0FpnPZ7eCCZR9XhaUx4eCLSBgP3cwB2JkdgOUgQE+iNgzzr2FwUvCEAAAhCAAAS6QMB+buBoUxdWnRohAAEIQAACEIAABCAQTICNRDBQwkFg1AjoM8VVtXk23nyKm2PjnTPOiRFhkxPD05pTc06eCJsIrXXW4+mNYBJVj6c1Kk9EzRFa66zH0xvBJKoeT2vKwwOBNhJgI9HGVUMzBCAAAQhAAAIQgAAEhkyAOxJDXgDSQ2CYBOxZx2FqITcEIAABCEAAAs0mYD838I1Es9cLdRCAAAQgAAEIQAACEGgkATYSjVwWREEAAhCAAAQgAAEIQKDZBNhINHt9UAeBgRPQFxJTW/dTcjvm9QfpYy8selrs/CC1pVz6SVr1mNVi+3Vqs7k9rXVr0xyt1tQvex94PslPP2V9PZbaup98y/p6rMynTOtSPmUx7JjXL7QuN4/3PrB5+81j43j9qjyarY1R5ZPsiqdOH621yM8rBEaCgP7lF/aXTOg52hCAwOgRyPkzH/FLnSJiJPreL3WKyuPF8eZztCYbL443nxMjx8bjmhMjxyaqHk9vVB4vjjefmHha6+Tm6Y3QWmc9nl6v3hytOTY5eTytKQ8PBNpAwH5u4LL1SGwHKQIC/RGwl6b6i4IXBCAAAQhAAAJdIGA/N3C0qQurTo0QgAAEIAABCEAAAhAIJsBGIhgo4SAwagT0meKq2jwbbz7FzbHxzhnnxIiwyYnhac2pOSdPhE2E1jrr8fRGMImqx9MalSei5gitddbj6Y1gElWPpzXl4YFAGwmwkWjjqqEZAhCAAAQgAAEIQAACQybAHYkhLwDpITBMAvas4zC1kBsCEIAABCAAgWYTsJ8b+Eai2euFOghAAAIQgAAEIAABCDSSABuJRi4LoiDQHAIR54wjYiQi3jnjqDxeHG8+R2uy8eJ48zkxcmw8rjkxcmyi6vH0RuXx4njziYmntU5unt4IrXXW4+n16s3RmmOTk8fTmvLwQKCNBNhItHHV0AyBZRJIX0WW/S+F0f/Apbbup/mZmZlFY9Ym9ZONfqyNFyM3j86R2oPKE1FPoa/QbLXWyc2rx9Oa5r01jKynYFboSrGLR7erxjytyc9jUlVPkbOIofWktu5r26JtbVJfa7HzOXlsjORj41gbO6/16XayKx4bI43bONbGzicfb31sjKo8ha6y+cg8EeujtdKGwCgR4I7EKK0mtUBgmQTsWcdlumMOAQhAAAIQgECHCNjPDXwj0aHFp1QIQAACEIAABCAAAQhEEWAjEUWSOBCAAAQgAAEIQAACEOgQATYSHVpsSoVAPwRyLhJ6Nt580pVjk85OL/XkxIiwyYnhac2pOSdPhE2E1jrr8fRGMImqx9MalSei5gitddbj6Y1gElWPpzXl4YFAGwmwkWjjqqEZAhCAAAQgAAEIQAACQybAZeshLwDpITBMAvbS1DC1kBsCEIAABCAAgWYTsJ8b+Eai2euFOghAAAIQgAAEIAABCDSSABuJRi4LoiBQHwF9jji1dT+psGNef5A+9pyxp8XOD1JbyqWfpFWPWS22X6c2m9vTWrc2zdFqTf2y94Hnk/z0U9bXY6mt+8m3rK/HynzKtC7lUxbDjnn9Quty83jvA5u33zw2jtevyqPZ2hhVPsmueOr00VqL/LxCYCQI9NQjIqpHEwIQGHUCOX/mp6amXAyejTefEuTYTE5OLqklJ0aETU4MT2tOzTl5ImwitNZZj6c3gklUPZ7WqDwRNUdorbMeT28Ek6h6PK0pDw8E2kDAfm7gjsRIbAcpAgL9EbBnHfuLghcEIAABCEAAAl0gYD83cLSpC6tOjRCAAAQgAAEIQAACEAgmwEYiGCjhIDBqBPSZ4qraPBtvPsXNsfHOGefEiLDJieFpzak5J0+ETYTWOuvx9EYwiarH0xqVJ6LmCK111uPpjWASVY+nNeXhgUAbCbCRaOOqoRkCEIAABCAAAQhAAAJDJsAdiSEvAOkhMEwC9qzjMLWQGwIQgAAEIACBZhOwnxv4RqLZ64U6CEAAAhCAAAQgAAEINJIAG4lGLguiIAABCEAAAhCAAAQg0GwCbCSavT6og8DACegLiamt+ym5HfP6g/SxFxY9LXZ+kNpSLv0krXrMarH9OrXZ3J7WurVpjlZr6pe9Dzyf5Kefsr4eS23dT75lfT1W5lOmdSmfshh2zOsXWpebx3sf2Lz95rFxvH5VHs3WxqjySXbFU6eP1lrk5xUCI0FA//IL+0sm9BxtCEBg9Ajk/JmP+KVOETESfe+XOkXl8eJ48zlak40Xx5vPiZFj43HNiZFjE1WPpzcqjxfHm09MPK11cvP0Rmitsx5Pr1dvjtYcm5w8ntaUhwcCbSBgPzdw2XoktoMUAYH+CNhLU/1FwQsCEIAABCAAgS4QsJ8bONrUhVWnRghAAAIQgAAEIAABCAQTYCMRDJRwEBg1AvpMcVVtno03n+Lm2HjnjHNiRNjkxPC05tSckyfCJkJrnfV4eiOYRNXjaY3KE1FzhNY66/H0RjCJqsfTmvLwQKCNBNhItHHV0AwBCEAAAhCAAAQgAIEhE+COxJAXgPQQGCYBe9ZxmFrIDQEIQAACEIBAswnYzw18I9Hs9UIdBCAAAQhAAAIQgAAEGkmAjUQjlwVREGgOgYhzxhExEhHvnHFUHi+ON5+jNdl4cbz5nBg5Nh7XnBg5NlH1eHqj8nhxvPnExNNaJzdPb4TWOuvx9Hr15mjNscnJ42lNeXgg0EYCbCTauGpohkAgAf2PYGrrfpFGj1kbPaft7bju2xjaT7etTzFXvJbFsT66r/10W9vodpVNGtd2qa372k+3tY1uV9l0NU/Bo6hfs9Ltws4bS/NlNoV/k/JUadX6rY2eK2rybOy89tNtHVu3c23Is/jvioIbrxAYFQLckRiVlaQOCPRBwJ517CMELhCAAAQgAAEIdISA/dzANxIdWXjKhAAEIAABCEAAAhCAQCQBNhKRNIkFAQhAAAIQgAAEIACBjhBgI9GRhaZMCPRLoOxctI3l2XjzKV6OjXdhMSdGhE1ODE9rTs05eSJsIrTWWY+nN4JJVD2e1qg8ETVHaK2zHk9vBJOoejytKQ8PBNpIgI1EG1cNzRCAAAQgAAEIQAACEBgyAS5bD3kBSA+BYRKwl6aGqYXcEIAABCAAAQg0m4D93MA3Es1eL9RBAAIQgAAEIAABCECgkQTYSDRyWRAFgfoI6HPEqa37SYUd8/qD9LHnjD0tdn6Q2lIu/SStesxqsf06tdncnta6tWmOVmvql70PPJ/kp5+yvh5Lbd1PvmV9PVbmU6Z1KZ+yGHbM6xdal5vHex/YvP3msXG8flUezdbGqPJJdsVTp4/WWuTnFQIjQaCnHhFRPZoQgMCoE8j5Mz81NeVi8Gy8+ZQgx2ZycnJJLTkxImxyYnhac2rOyRNhE6G1zno8vRFMourxtEbliag5Qmud9Xh6I5hE1eNpTXl4INAGAvZzA3ckRmI7SBEQ6I+APevYXxS8IAABCEAAAhDoAgH7uYGjTV1YdWqEAAQgAAEIQAACEIBAMAE2EsFACQeBLAKzM3LwwQm5YmxM0u5+bGybTOx5Qg7OvLa0e79+S0ddclafKa4y9Gy8+RQ3x8Y7Z5wTI8ImJ4anNafmnDwRNhFa66zH0xvBJKoeT2tUnoiaI7TWWY+nN4JJVD2e1pSHBwJtJMBGoo2rhuaWE3hNXnj8LrnmAZGbDhyXU72enDr+STn/6Tvkms8/Iycqq+vXrzIgExCAAAQgAAEIQKBvAtyR6BsdjhDok8DsEdlz1dXyjeuekCd3XCLFbn722B65avNzMnFkl2w5rxhVOfr1UyFs0551tPP0IQABCEAAAhCAQEHAfm4o+bRSmPIKAQgMhMDJ43L08Btl44VrFjYRKc+q8y+UjfKU7D3ws/K0/fqVR2MUAhCAAAQgAAEIrIgAG4kV4cMZAssnMPvi83JopsrvuBx6/iWZLZnu168kFEMQgAAEIAABCEBgxQTOWXEEAkAAAssgMCsnf/KcHBaRjcvwEunXbz5J+iqy6llqrsqHcQhAAAIQWB6BXq+3PAesIdACAnwj0YJFQiIEVkog/QNW9r8Ut2xcj01NTa3YJiJG0uTpjcrjxfHmc7QmGy+ON58TI8fG45oTI8cmqh5Pb1QeL443n5h4Wuvk5umN0FpnPZ5er94crTk2OXnm3gj8HwRGkACXrUdwUSmp2QTmLlWv/4ps3Pctmdyy5ozYE9Myccn1cmjX9KJL2IVBv36Ff9mrvTRVZtOksTbpRevg3jmwHQzbNnFNBNqkt01aB/PuIuqoELDvZb6RGJWVpY7WEJi7VD1eJXftWZewC8t+/Qp/XiEAAQhAAAIQgEAkATYSkTSJBYEcAqvXyvoNL591qXr+MvVFsv6C1eVR+vUrj5Y9GvFLnSJi5AiOyuPF8eZztCYbL443nxMj18bTHKElIoanM7feCC05MSL05uSJsvH0RuSJiOHpbOP7IKcmbCDQNAJsJJq2IugZfQKrLpJtt7xTDt95jzxwZP7Xz83OfFe+cNf9cnjnh+Xada8vZ9CvX3k0RiEAAQhAAAIQgMCKCHBHYkX4cIZAnwROHpPpR3bLZ26+W/bPhXirfOCeT8vvv/9q2TR+7tzI/J2Im+Xwzn1yZHKLnJdGM/yWo8iedVyO7zBs26QXrYN7h8B2MGzbxDURaJPeNmkdzLuLqKNCwL6X2UiMyspSBwT6IGD/QugjRK0ubdKL1sG9NWA7GLZt4poItElvm7QO5t1F1FEhYN/LHG0alZWlDggMiEDEeeaIGKm8ycnJJauMyuPF8eZztCYbL443nxMjx8bjmhMjxyaqHk9vVB4vjjefmHha6+Tm6Y3QWmc9nl6v3hytOTY5eTytKQ8PBNpIgI1EG1cNzRAIJKD/EUxt3S/S6DFro+e0vR3XfRtD++m29SnmiteyONZH97Wfbmsb3a6ySePaLrV1X/vptrbR7SqbruYpeBT1a1a6Xdh5Y2m+zKbwb1KeKq1av7XRc0VNno2d1366rWPrdq4NeRb/XVFw4xUCo0KAo02jspLUAYE+CNivKPsIgYsmUHqH5V75+Id/W9at5r/baFQrac++8Jh86Dc+K2seNr+LZSVBO+w7O/OsPPT5T8hNdz8lIuOyeeek3PsH1y3c1+owmpWVPjsjBx/6vNx+0+m7cJt3ygP3/oHcsGlclve3wWsyc/BP5V/++FK5dfu6St+5e3UfFflnT+6QdctLsLI68e4UAfu5gbdap5afYiEAgYERmP2xPHbru+X6p39VJo//Yu63gZ86/lXZePh22Xzr4/LC7MAydyvw7I/l8U/+Y9kz062yB1Xt3Kbsb39NTn3wT+Z/g/2r0/JReVguvelhOcZ7dgXYX5aD931Irvnzt8nDp3rzfx88/Db582s+JPcdfHl5cU88I5+/5j558Y1vqtxEiMzKyZ88L//Vdb8pF/PJbnl8sV4RAd5uK8KHMwQgAIF5ArPP7ZOv7fklueHG6+Sy0z95a9X4O+TWj98mG/Z8Vr64/yVQrZjACTnywD+RnT9aI7+54lgEEHlJ9n/xs/Lku98v114y93PhRFZfIts/PiE7D39FdvOe7f9NcuLfyyP3vSg3vP+35M2nP2mtevNvyftveFHue+Tfy/wP/s4JPysnDnxHHppZ4ncMzYX5mRzY+59k++UXLrHZyMmHDQSWR4CNxPJ4YQ2BzhEoOxdtIXg23nyKl2Nz991329SL+jkxImzKYqxat0P29g7I5JY1c5oWaz1+1i8gzKm5LM+igjO5eXEWa7UZ5vtejMHXMysnD+6Wf3jnfy1vv/iNUvFrG+fERmiNqieC7cDqOfEfZO9DIjds+xtzP156Qet5W2Ty+Jn38vw7YP7/I7RExEhqFvRqgaodlceL481brTOHnpcXs77teUmmJy6TN1z5OZmRP5Gb118uE9MV/0EireUPLpPLL674PURyQo5N75GJK9bO/bSrsbG1csXEHpk+lr+lUWhpQmCBABuJBRQ0IAABCAyKwOVyHf+lcGVwTx6Qr97+L+SiL31M3vLfnLOyWHjPEZh98Xk5lP5L9xtekOk9E/K1iQkZG9sgN967V46dzPqkC8kqAuf9LXnvH54vD/2LP1841jg78//Id579Fbnns9sz7zCskS2fe1h2b/012br7h3JK/YeKxWnTtxb75Qfbq441zW/Cb7n+u7L+j4/MH2E79e/kE6/7hlz50T/lCNtimPSWSYDL1ssEhjkERomAvTQ1SrU1opZ0b+JDV8tH5NPy7/637QtHHBqhrVUiXpaD935Qbpc75Ju3XyZ/5dgeuWr9V2TjPi5b97+Ms3Ji+k655MqnZP3mX5G3f+JLsmvLm2WVnJAje26Tq7/7O/I079n+8SbP2SOy56otcvNTxYWecdm6e1qe3HFJ/vGjE9MycclOkSV/sED65uIm2bvtgYVvRBcL/7kc2/MBWf+Nd8pRLmIvRkNv2QTs5wa+kVg2QhwgAAEI5BCYP8//kR9dKw/vuppNRA6yUpvX5IXH7pRr/o/fkns/fOmSR5pK3Rl0CByXc2/43OlNRDI9Ty659v3y7ie51+OAW3r65LNy75XXy9PXPSWv9uYvW/defUque/ofygf3fF9OLu29MLvwrdEFSxzmm31Jnv/B35Jtl75pwW9x41xZ+zffLpuf+orsfvz/kunH9vON02JA9FZAgI3ECuDhCoFRIKDP96a27qf67JjXH6SPPRPtabHzg9SWcp15TsjH3vN35O3/y3+UXX98m2wZP9flWJ+2s9c0cdX6h8ft7LsyU1/8mLz/5mfkD+/9oGxavWpO5z3/+5NnUJfcE7H6bb9grYNYG9vv16e579mH5V9++/sislY2Xrhm7r+QL7wPVq+V9Rtelie/vkem1Pu6ikkaLx5rY/sFxwgfzXaQeZbSWl7PlPzzu3bJfUe3yo3X/nX5s4cemr/Psfqvy7U3vl2+fefX5dkTOUfHfi7PPfMteWr8Yrnw/HMLxGe9zj73b+Wxt2yWS8+r+ki3SlZvulW+efReedvLT8hn3n2FrP+rr5OxKyZkz/Sx7E3NWYkZgEAi0FOP6aoZmhCAwCgSyPkzPzU15Zbu2XjzKUGOzeTk5JJacmJE2CwZ49Tx3vfu+0DvvPN+o7f7h6+sSO+SeU5HjrDxuOauj6fFmz87z1/2ju5+Ty+9Tyv/t3V37+ipxZiXn2exf9Hz4njzKU4E25w8fdm8sq+3c3xTb+e+n86VvKD11A97u7f+Wm/r7h/2DNqsP6eeFm8+icmxWdBbLJh5zYkRYXN2jJ/29u3c1JPxO3r7XpknWGg9dXR3b6ucYW4km+7pOCXv8TOG6c/ILQtreGZ86dap4wd6j97zgd54tpal4zHbHQL2cwN3JNhPQqDDBOxZxw6jCCl9dubbcuf7bpTPyU3y6Nf+kWxfd/pHaoZEJ0hBYO4Xb3FHosDR/2txh2fNF+TI5Ja5n9w0F2zuXP598t9982G5fdMb+4/fWc/T90+uF3n4yC7ZsvBNQdV4Bai5OxZXyzeue6L6XkWy+Xtflwu//imVpyKeHZ5b5+vl0K5l3tuwceh3ioD93FD1PVinoFAsBCAAgRUTOPms3Jc2EUe3y6MPf4pNxIqBEmDgBFb9imz9n3fI+rvvk39e/JK02Rl5dveD8uhVO+R/+h/YRPS3BqvkvMveJ7t++znZ+6fqPsLJ/1f+9MGnZP0fvksuW9hcLJHh5HE5evi/zBv8l5NS+oO0ko1cKBesXurjXLps/V4Zu+KP5LGFH/d6Qo595zvyrGyXW7ZdlH/5ewm5THWTwFLvvG4SoWoIQGARAX0+eNGE6ng23nwKlWOjz0Sr9AvNnBgRNmfH+Lkce+Re+dj+GZGZL8u7L/il0z+rfWzhde3E9Fm/hOrsOAulzDW8+WQUYeNxjcoToTVpsXck5mCp/4vK48Xx5pOkCLY5efqzKc7Of1Tki397/r36uq3y5VPvk//zC+8q/QEB/eVRixP0ns1hG6E15fHilM6vfqvs+PIu2SZ75ZZ0H2FsTMbW3SM/u/7rcz95bImr02dgnXepfHDXVXL45l+X1/39R+T4mZnTLe/HvhYOr5d1N31BDnz0TfKvNr/h9N9Jb5DN/+pN8tFvflze9ebq+xdFBF4hUEWAH8ZdRYZxCEAAAtkEXi/rdjwivR1nHNIHyJ07d54ZoBVGYGzNb8je3p+Exet2oFWyet02uf3BbTL7Ft6zoe+F1etky47Juf/19/fBeXLJjt1yfMfuClmr5Lwt/0SeqJhdNLxqXDZtv10eTP9bNEEHAisjwB2JlfHDGwKtJmDPOra6GMRDAAIQgAAEIDBQAvZzA0ebBoqb4BCAAAQgAAEIQAACEBhNAmwkRnNdqQoCEIAABCAAAQhAAAIDJcBGYqB4CQ6B5hPQFwVTW/eTejvm9QfpYy+uelrs/CC1pVz6SVr1mNVi+3Vqs7k9rXVr0xyt1tQvex94PslPP2V9PZbaup98y/p6rMynTOtSPmUx7JjXL7QuN4/3PrB5+81j43j9qjyarY1R5ZPsiqdOH621yM8rBEaBAHckRmEVqQECfRKwZx37DIMbBCAAAQhAAAIdIGA/N/CNRAcWnRIhAAEIQAACEIAABCAQTYCNRDRR4kEAAhCAAAQgAAEIQKADBNhIdGCRKRECKyGgzxRXxfFsvPkUN8fGO2ecEyPCJieGpzWn5pw8ETYRWuusx9MbwSSqHk9rVJ6ImiO01lmPpzeCSVQ9ntaUhwcCbSTARqKNq4ZmCEAAAhCAAAQgAAEIDJkAl62HvACkh8AwCdhLU8PUQm4IQAACEIAABJpNwH5u4BuJZq8X6iAAAQhAAAIQgAAEINBIAmwkGrksiIJAcwhEnDOOiJGIeOeMo/J4cbz5HK3JxovjzefEyLHxuObEyLGJqsfTG5XHi+PNJyae1jq5eXojtNZZj6fXqzdHa45NTh5Pa8rDA4E2EmAj0cZVQzMEAgnofwRTW/eLNHrM2ug5bW/Hdd/G0H66bX2KueK1LI710X3tp9vaRrerbNK4tktt3dd+uq1tdLvKpqt5Ch5F/ZqVbhd23liaL7Mp/JuUp0qr1m9t9FxRk2dj57WfbuvYup1rQ57Ff1cU3HiFwKgQ4I7EqKwkdUCgDwL2rGMfIXCBAAQgAAEIQKAjBOznBr6R6MjCUyYEIAABCEAAAhCAAAQiCbCRiKRJLAhAAAIQgAAEIAABCHSEABuJjiw0ZUKgXwJl56JtLM/Gm0/xcmy8C4s5MSJscmJ4WnNqzskTYROhtc56PL0RTKLq8bRG5YmoOUJrnfV4eiOYRNXjaU15eCDQRgLckWjjqqEZAkEE7FnHoLCEgQAEIAABCEBgBAnYzw18IzGCi0xJEIAABCAAAQhAAAIQGDQBNhKDJkx8CEAAAhCAAAQgAAEIjCABNhIjuKiUBAFLIH0VWfa/ZKfP7qa27hfzesza2D4+8/QtF68PtzPc5ltn+old8ViOaVzPF3091iafKq1L1YPP/HtAM8p5HwyTW/F+5hUCrSfQU4+IqB5NCEBg1Ank/JmfmppyMXg23nxKkGMzOTm5pJacGBE2OTE8rTk15+SJsInQWmc9nt4IJlH1eFqj8kTUHKG1zno8vRFMourxtKY8PBBoAwH7uYHL1q3fClIABPonYC9N9R8JTwhAAAIQgAAERp2A/dzA0aZRX3HqgwAEIAABCEAAAhCAwAAIsJEYAFRCQmCUCET8LPaIGImpPQNtOUfl8eJ48zlak40Xx5vPiZFj43HNiZFjE1WPpzcqjxfHm09MPK11cvP0Rmitsx5Pr1dvjtYcm5w8ntaUhwcCbSTARqKNq4ZmCEAAAhCAAAQgAAEIDJkAdySGvACkh8AwCdizjsPUQm4IQAACEIAABJpNwH5u4BuJZq8X6iAAAQhAAAIQgAAEINBIAmwkGrksiIIABCAAAQhAAAIQgECzCbCRaPb6oA4CAyegLwqmtu6n5HbM6w/Sx15Y9LTY+UFqS7n0k7TqMavF9uvUZnN7WuvWpjlaralf9j7wfJKffsr6eiy1dT/5lvX1WJlPmdalfMpi2DGvX2hdbh7vfWDz9pvHxvH6VXk0WxujyifZFU+dPlprkZ9XCIwCAe5IjMIqUgME+iRgzzr2GQY3CEAAAhCAAAQ6QMB+buAbiQ4sOiVCAAIQgAAEIAABCEAgmgAbiWiixIMABCAAAQhAAAIQgEAHCLCR6MAiUyIEVkJAnymuiuPZePMpbo6Nd844J0aETU4MT2tOzTl5ImwitNZZj6c3gklUPZ7WqDwRNUdorbMeT28Ek6h6PK0pDw8E2kiAjUQbVw3NEIAABCAAAQhAAAIQGDIBLlsPeQFID4FhErCXpoaphdwQgAAEIAABCDSbgP3cwDcSzV4v1EEAAhCAAAQgAAEIQKCRBNhINHJZEAWB5hCIOGccESMR8c4ZR+Xx4njzOVqTjRfHm8+JkWPjcc2JkWMTVY+nNyqPF8ebT0w8rXVy8/RGaK2zHk+vV2+O1hybnDye1pSHBwJtJMBGoo2rhmYIBBLQ/wimtu4XafSYtdFz2t6O676Nof102/oUc8VrWRzro/vaT7e1jW5X2aRxbZfauq/9dFvb6HaVTVfzFDyK+jUr3S7svLE0X2ZT+DcpT5VWrd/a6LmiJs/Gzms/3daxdTvXhjyL/64ouPEKgVEhwB2JUVlJ6oBAHwTsWcc+QuACAQhAAAIQgEBHCNjPDXwj0ZGFp0wIQAACEIAABCAAAQhEEmAjEUmTWBCAAAQgAAEIQAACEOgIATYSC32WYwAAG6dJREFUHVloyoRAvwTKzkXbWJ6NN5/i5dh4FxZzYkTY5MTwtObUnJMnwiZCa531eHojmETV42mNyhNRc4TWOuvx9EYwiarH05ry8ECgjQS4I9HGVUMzBIII2LOOQWEJAwEIQAACEIDACBKwnxv4RmIEF5mSIAABCEAAAhCAAAQgMGgCbCQGTZj4EIAABCAAAQhAAAIQGEECbCRGcFEpCQLLIaDPEae27qc4dszrD9LHnjP2tNj5QWpLufSTtOoxq8X269Rmc3ta69amOVqtqV/2PvB8kp9+yvp6LLV1P/mW9fVYmU+Z1qV8ymLYMa9faF1uHu99YPP2m8fG8fpVeTRbG6PKJ9kVT50+WmuRn1cIjASBnnpERPVoQgACo04g58/81NSUi8Gz8eZTghybycnJJbXkxIiwyYnhac2pOSdPhE2E1jrr8fRGMImqx9MalSei5gitddbj6Y1gElWPpzXl4YFAGwjYzw1cth6J7SBFQKA/AvbSVH9R8IIABCAAAQhAoAsE7OcGjjZ1YdWpEQIQgAAEIAABCEAAAsEE2EgEAyUcBEaNgD5TXFWbZ+PNp7g5Nt4545wYETY5MTytOTXn5ImwidBaZz2e3ggmUfV4WqPyRNQcobXOejy9EUyi6vG0pjw8EGgjATYSbVw1NEMAAhCAAAQgAAEIQGDIBLgjMeQFID0EhknAnnUcphZyQwACEIAABCDQbAL2cwPfSDR7vVAHAQhAAAIQgAAEIACBRhJgI9HIZUEUBCAAAQhAAAIQgAAEmk2AjUSz1wd1EBg4AX0hMbV1PyW3Y15/kD72wqKnxc4PUlvKpZ+kVY9ZLbZfpzab29NatzbN0WpN/bL3geeT/PRT1tdjqa37ybesr8fKfMq0LuVTFsOOef1C63LzeO8Dm7ffPDaO16/Ko9naGFU+ya546vTRWov8vEJgFAhwR2IUVpEaINAnAXvWsc8wuEEAAhCAAAQg0AEC9nMD30h0YNEpEQIQgAAEIAABCEAAAtEE2EhEEyUeBHIIzM7IwQcn5IqxMUm7+7GxbTKx5wk5OPNajve8zcln5d4r3iET0y/l+2AJAQhAAAIQgAAEggiwkQgCSRgI5BN4TV54/C655gGRmw4cl1O9npw6/kk5/+k75JrPPyMncgKd/L48+JnPyZ/t/0WO9Yps9JniqkCejTef4ubYeOeMc2JE2OTE8LTm1JyTJ8ImQmud9Xh6I5hE1eNpjcoTUXOE1jrr8fRGMImqx9Oa8vBAoI0E2Ei0cdXQ3G4Csz+SvV/7lmy44YNyw6ZxSX8IV42/Q279+G2y4aHvyIETs0vU95rMHHxIJn5vWn79vX9XVi9hyRQEIAABCEAAAhAYJAEuWw+SLrEhUEbgxLRMXLJT5OFvyeSWNWcsqsbPWMjssT1y1S1/IRNfv0M2v/qwXLX+K7Jxn4mj7L2mvTTl2TMPAQhAAAIQgEB3CdjPDed0FwWVQ2A4BGZffF4OzYhsLE1/XA49/5LMypq5byqsyaq1V8sD31wj46tXyeyrdpY+BCAAAQhAAAIQqI8AR5vqY00mCIjIrJz8yXNyuF8Wq395bhPRr3s/fhHnjCNiJO3eOeOoPF4cbz5Ha7Lx4njzOTFybDyuOTFybKLq8fRG5fHiePOJiae1Tm6e3gitddbj6fXqzdGaY5OTx9Oa8vBAoI0E2Ei0cdXQDIFlEpj/yVDFT4g685rC6H/gUlv30/zMzMyiMWuT+slGP9bGi5GbR+dI7UHliain0Fdotlrr5ObV42lN894aRtZTMCt0pdjFo9tVY57W5OcxqaqnyFnE0HpSW/e1bdG2Nqmvtdj5nDw2RvKxcayNndf6dDvZFY+NkcZtHGtj55OPtz42RlWeQlfZfGSeiPXRWmlDYJQIcEdilFaTWoZA4CWZnninXHn3waVzb90tR5/cIetWyfw9h7K7DXN3JK6XQ7um5ckdl5QebdJJ5u5LlMXRRk7bnnV0zJmGAAQgAAEIQKDDBOznBu5IdPjNQOkRBNbIlskD0pvMj7Xq/Atl43iV/VrZeGH5/YgqD8YhAAEIQAACEIDAMAhwtGkY1MnZbQKr18r6DS+fvlR9BsX8JeyLZP0F/FDXM1RoQQACEIAABCDQVAJsJJq6MugaXQKrLpJtt7xTDt95jzxwZP7Xz83OfFe+cNf9cnjnh+Xada9vVO05Fwk9G28+FZxjk85OL/XkxIiwyYnhac2pOSdPhE2E1jrr8fRGMImqx9MalSei5gitddbj6Y1gElWPpzXl4YFAGwlwR6KNq4bm9hM4eUymH9ktn7n5btk/V81b5QP3fFp+//1Xy6bxc+dG5u9A3CyHd+6TI5Nb5DxTNXckDBC6EIAABCAAAQgMlIC9I8FGYqC4CQ6BZhOwfyE0Wy3qIAABCEAAAhAYJgH7uYGjTcNcDXJDAAIQgAAEIAABCECgpQTYSLR04ZANgSgC+hxxaut+ymHHvP4gfew5Y0+LnR+ktpRLP0mrHrNabL9ObTa3p7VubZqj1Zr6Ze8Dzyf56aesr8dSW/eTb1lfj5X5lGldyqcshh3z+oXW5ebx3gc2b795bByvX5VHs7UxqnySXfHU6aO1Fvl5hcBIEOipR0RUjyYEIDDqBHL+zE9NTbkYPBtvPiXIsZmcnFxSS06MCJucGJ7WnJpz8kTYRGitsx5PbwSTqHo8rVF5ImqO0FpnPZ7eCCZR9XhaUx4eCLSBgP3cwB2JkdgOUgQE+iNgzzr2FwUvCEAAAhCAAAS6QMB+buBoUxdWnRohAAEIQAACEIAABCAQTICNRDBQwkFg1AjoM8VVtXk23nyKm2PjnTPOiRFhkxPD05pTc06eCJsIrXXW4+mNYBJVj6c1Kk9EzRFa66zH0xvBJKoeT2vKwwOBNhJgI9HGVUMzBCAAAQhAAAIQgAAEhkyAOxJDXgDSQ2CYBOxZx2FqITcEIAABCEAAAs0mYD838I1Es9cLdRCAAAQgAAEIQAACEGgkATYSjVwWREGgOQQizhlHxEhEvHPGUXm8ON58jtZk48Xx5nNi5Nh4XHNi5NhE1ePpjcrjxfHmExNPa53cPL0RWuusx9Pr1ZujNccmJ4+nNeXhgUAbCbCRaOOqoRkCgQT0P4KprftFGj1mbfSctrfjum9jaD/dtj7FXPFaFsf66L72021to9tVNmlc26W27ms/3dY2ul1l09U8BY+ifs1Ktws7byzNl9kU/k3KU6VV67c2eq6oybOx89pPt3Vs3c61Ic/ivysKbrxCYFQIcEdiVFaSOiDQBwF71rGPELhAAAIQgAAEINARAvZzA99IdGThKRMCEIAABCAAAQhAAAKRBNhIRNIkFgQgAAEIQAACEIAABDpCgI1ERxaaMiHQL4Gyc9E2lmfjzad4OTbehcWcGBE2OTE8rTk15+SJsInQWmc9nt4IJlH1eFqj8kTUHKG1zno8vRFMourxtKY8PBBoIwE2Em1cNTRDAAIQgAAEIAABCEBgyAS4bD3kBSA9BIZJwF6aGqYWckMAAhCAAAQg0GwC9nMD30g0e71QBwEIQAACEIAABCAAgUYSYCPRyGVBFASaQyDinHFEjETEO2cclceL483naE02XhxvPidGjo3HNSdGjk1UPZ7eqDxeHG8+MfG01snN0xuhtc56PL1evTlac2xy8nhaUx4eCLSRABuJNq4amiEQSED/I5jaul+k0WPWRs9pezuu+zaG9tNt61PMFa9lcayP7ms/3dY2ul1lk8a1XWrrvvbTbW2j21U2Xc1T8Cjq16x0u7DzxtJ8mU3h36Q8VVq1fmuj54qaPBs7r/10W8fW7Vwb8iz+u6LgxisERoUAdyRGZSWpAwJ9ELBnHfsIgQsEIAABCEAAAh0hYD838I1ERxaeMiEAAQhAAAIQgAAEIBBJgI1EJE1iQWAECZQdZ7BlejbefIqXY+OdM86JEWGTE8PTmlNzTp4Imwitddbj6Y1gElWPpzUqT0TNEVrrrMfTG8Ekqh5Pa8rDA4E2EmAj0cZVQzMEIAABCEAAAhCAAASGTIA7EkNeANJDYJgE7FnHYWohNwQgAAEIQAACzSZgPzfwjUSz1wt1EIAABCAAAQhAAAIQaCQBNhKNXBZEQQACEIAABCAAAQhAoNkE2Eg0e31QB4GBE9AXElNb91NyO+b1B+ljLyx6Wuz8ILWlXPpJWvWY1WL7dWqzuT2tdWvTHK3W1C97H3g+yU8/ZX09ltq6n3zL+nqszKdM61I+ZTHsmNcvtC43j/c+sHn7zWPjeP2qPJqtjVHlk+yKp04frbXIzysERoJATz0iono0IQCBUSeQ82d+amrKxeDZePMpQY7N5OTkklpyYkTY5MTwtObUnJMnwiZCa531eHojmETV42mNyhNRc4TWOuvx9EYwiarH05ry8ECgDQTs5wYuW4/EdpAiINAfAXtpqr8oeEEAAhCAAAQg0AUC9nMDR5u6sOrUCAEIQAACEIAABCAAgWACbCSCgRIOAqNGQJ8prqrNs/HmU9wcG++ccU6MCJucGJ7WnJpz8kTYRGitsx5PbwSTqHo8rVF5ImqO0FpnPZ7eCCZR9XhaUx4eCLSRABuJNq4amiEAAQhAAAIQgAAEIDBkAtyRGPICkB4CwyRgzzoOUwu5IQABCEAAAhBoNgH7uYFvJJq9XqiDAAQgAAEIQAACEIBAIwmwkWjksiAKAs0hEHHOOCJGIuKdM47K48Xx5nO0JhsvjjefEyPHxuOaEyPHJqoeT29UHi+ON5+YeFrr5ObpjdBaZz2eXq/eHK05Njl5PK0pDw8E2kiAjUQbVw3NEFgmgfRVZNn/Uhj9D1xq636an5mZWTRmbVI/2ejH2ngxcvPoHKk9qDwR9RT6Cs1Wa53cvHo8rWneW8PIegpmha4Uu3h0u2rM05r8PCZV9RQ5ixhaT2rrvrYt2tYm9bUWO5+Tx8ZIPjaOtbHzWp9uJ7visTHSuI1jbex88vHWx8aoylPoKpuPzBOxPlorbQiMEgHuSIzSalILBJZJwJ51XKY75hCAAAQgAAEIdIiA/dzANxIdWnxKhQAEIAABCEAAAhCAQBQBNhJRJIkDAQhAAAIQgAAEIACBDhFgI9GhxaZUCPRDIOcioWfjzSddOTbp7PRST06MCJucGJ7WnJpz8kTYRGitsx5PbwSTqHo8rVF5ImqO0FpnPZ7eCCZR9XhaUx4eCLSRABuJNq4amiEAAQhAAAIQgAAEIDBkAly2HvICkB4CwyRgL00NUwu5IQABCEAAAhBoNgH7uYFvJJq9XqiDAAQgAAEIQAACEIBAIwmwkWjksiAKAs0hEHHOOCJGIuKdM47K48Xx5nO0JhsvjjefEyPHxuOaEyPHJqoeT29UHi+ON5+YeFrr5ObpjdBaZz2eXq/eHK05Njl5PK0pDw8E2kiAjUQbVw3NEAgkoP8RTG3dL9LoMWuj57S9Hdd9G0P76bb1KeaK17I41kf3tZ9uaxvdrrJJ49outXVf++m2ttHtKpuu5il4FPVrVrpd2Hljab7MpvBvUp4qrVq/tdFzRU2ejZ3XfrqtY+t2rg15Fv9dUXDjFQKjQoA7EqOyktQBgT4I2LOOfYTABQIQgAAEIACBjhCwnxv4RqIjC0+ZEIAABCAAAQhAAAIQiCTARiKSJrEgMIIEyo4z2DI9G28+xcux8c4Z58SIsMmJ4WnNqTknT4RNhNY66/H0RjCJqsfTGpUnouYIrXXW4+mNYBJVj6c15eGBQBsJsJFo46qhGQIQgAAEIAABCEAAAkMmwB2JIS8A6SEwTAL2rOMwtZAbAhCAAAQgAIFmE7CfG/hGotnrhToIQAACEIAABCAAAQg0kgAbiUYuC6IgAAEIQAACEIAABCDQbAJsJJq9PqiDwMAJ6AuJqa37Kbkd8/qD9LEXFj0tdn6Q2lIu/SStesxqsf06tdncnta6tWmOVmvql70PPJ/kp5+yvh5Lbd1PvmV9PVbmU6Z1KZ+yGHbM6xdal5vHex/YvP3msXG8flUezdbGqPJJdsVTp4/WWuTnFQIjQaCnHhFRPZoQgMCoE8j5Mz81NeVi8Gy8+ZQgx2ZycnJJLTkxImxyYnhac2rOyRNhE6G1zno8vRFMourxtEbliag5Qmud9Xh6I5hE1eNpTXl4INAGAvZzA5etR2I7SBEQ6I+AvTTVXxS8IAABCEAAAhDoAgH7uYGjTV1YdWqEAAQgAAEIQAACEIBAMAE2EsFACQeBUSOgzxRX1ebZePMpbo6Nd844J0aETU4MT2tOzTl5ImwitNZZj6c3gklUPZ7WqDwRNUdorbMeT28Ek6h6PK0pDw8E2kiAjUQbVw3NEIAABCAAAQhAAAIQGDIB7kgMeQFID4FhErBnHYephdwQgAAEIAABCDSbgP3cwDcSzV4v1EEAAhCAAAQgAAEIQKCRBNhINHJZEAWB5hCIOGccESMR8c4ZR+Xx4njzOVqTjRfHm8+JkWPjcc2JkWMTVY+nNyqPF8ebT0w8rXVy8/RGaK2zHk+vV2+O1hybnDye1pSHBwJtJMBGoo2rhmYIBBLQ/wimtu4XafSYtdFz2t6O676Nof102/oUc8VrWRzro/vaT7e1jW5X2aRxbZfauq/9dFvb6HaVTVfzFDyK+jUr3S7svLE0X2ZT+DcpT5VWrd/a6LmiJs/Gzms/3daxdTvXhjyL/64ouPEKgVEhwB2JUVlJ6oBAHwTsWcc+QuACAQhAAAIQgEBHCNjPDXwj0ZGFp0wIQAACEIAABCAAAQhEEmAjEUmTWBCAAAQgAAEIQAACEOgIATYSHVloyoRAvwTKzkXbWJ6NN5/i5dh4FxZzYkTY5MTwtObUnJMnwiZCa531eHojmETV42mNyhNRc4TWOuvx9EYwiarH05ry8ECgjQTYSLRx1dAMAQhAAAIQgAAEIACBIRPgsvWQF4D0EBgmAXtpaphayA0BCEAAAhCAQLMJ2M8NfCPR7PVCHQQgAAEIQAACEIAABBpJgI1EI5cFURBoDoGIc8YRMRIR75xxVB4vjjefozXZeHG8+ZwYOTYe15wYOTZR9Xh6o/J4cbz5xMTTWic3T2+E1jrr8fR69eZozbHJyeNpTXl4INBGAmwk2rhqaIZAIAH9j2Bq636RRo9ZGz2n7e247tsY2k+3rU8xV7yWxbE+uq/9dFvb6HaVTRrXdqmt+9pPt7WNblfZdDVPwaOoX7PS7cLOG0vzZTaFf5PyVGnV+q2Nnitq8mzsvPbTbR1bt3NtyLP474qCG68QGBUC3JEYlZWkDgj0QcCedewjBC4QgAAEIAABCHSEgP3cwDcSHVl4yoQABCAAAQhAAAIQgEAkATYSkTSJBYFcArMzcvDBCblibEzS7n5sbJtM7HlCDs68tnSEk8dkeo/22yA33rtXjp2cXdpvBbNlxxlsOM/Gm0/xcmy8c8Y5MSJscmJ4WnNqzskTYROhtc56PL0RTKLq8bRG5YmoOUJrnfV4eiOYRNXjaU15eCDQRgJsJNq4amhuOYHX5IXH75JrHhC56cBxOdXryanjn5Tzn75Drvn8M3KiqrrZH8tjt75brn/6V2Xy+C+kN+f3Vdl4+HbZfOvj8sLg9hJVihiHAAQgAAEIQKDDBLgj0eHFp/QhEZg9Inuuulq+cd0T8uSOS6TYzc8e2yNXbX5OJo7ski3nFaNnNM7Nr/+KbNz3LZncsmZhomp8wWCJhj3ruIQpUxCAAAQgAAEIdJyA/dxw9qeVjgOifAgMnMDJ43L08Btl44VrFjYRKeeq8y+UjfKU7D3ws1IJq9btkL29A4s2EWcMj8uh518SvpQ4Q4QWBCAAAQhAAAKDJcBGYrB8iQ6BswjMvvi8HJo5a/j0QL8bgsvlussvXLQxqcrAOAQgAAEIQAACEIggwEYigiIxIJBNYFZO/uQ5OZxt7xjO/lgen7xfDu/4B7Lt4tdXGs9f6C4udp95TQ76EmBq634xr8esje3jM78MlovXh9sZbvOtM/3ErngsxzSu54u+HmuTT5XWperBZ/49oBnlvA+Gya14P/MKgbYT4I5E21cQ/S0jMCsnpu+US658Sm4wdx3kxLRMXHK9HNo1vejuRHWBJ+TInttky0O/Kg9//Q7ZMn5utSkzEIAABCAAAQhAYIUEuCOxQoC4Q2AxgZdkeuLS0z/C9cx/6T/rG4Bte+TY3AWGVbL6gotlw+IgffRObyLuFNn1x7exieiDIC4QgAAEIAABCKyMwDkrc8cbAl0nsEa2TB6Q3mQ+h7lL1eNV9mvPuoR9luXsjDz7hX8k77rnHNk1fb/suOS8s0wYgAAEIAABCEAAAoMmwB2JQRMmPgQsgdVrZf2Gl8/6KUvzl7AvkvUXrLYeC/3ZmW/LH125Sd72r98sX9rPJmIBDA0IQAACEIAABGonwEaiduQk7DyBVRfJtlveKYfvvEceODL/6+dmZ74rX7jrfjm888Ny7bqKS9Mnn5X73nejfO7odnn04U/J9nV8E9H59xIAIAABCEAAAkMkwEZiiPBJ3VUC58qbt/6+PLxrjTz062+Yu1/xurUflkMbPi3f/IPLpdgepF80t21sTNZOTMsJ+bkce+Re+dj+GZGZL8u7L/ils+5lzNt1lSl1QwACEIAABCBQNwF+alPdxMkHAQhAAAIQgAAEIACBFhLgpza1cNGQDAEIQAACEIAABCAAgaYR4GhT01YEPRCAAAQgAAEIQAACEGgBATYSLVgkJEIAAhCAAAQgAAEIQKBpBNhING1F0AMBCEAAAhCAAAQgAIEWEGAj0YJFQiIEIAABCEAAAhCAAASaRoCNRNNWBD0QgAAEIAABCEAAAhBoAQE2Ei1YJCRCAAIQgAAEIAABCECgaQTYSDRtRdADAQhAAAIQgAAEIACBFhBgI9GCRUIiBCAAAQhAAAIQgAAEmkaAjUTTVgQ9EIAABCAAAQhAAAIQaAEBNhItWCQkQgACEIAABCAAAQhAoGkE2Eg0bUXQAwEIQAACEIAABCAAgRYQYCPRgkVCIgQgAAEIQAACEIAABJpGgI1E01YEPRCAAAQgAAEIQAACEGgBATYSLVgkJEIAAhCAAAQgAAEIQKBpBNhING1F0AMBCEAAAhCAAAQgAIEWEGAj0YJFQiIEIAABCEAAAhCAAASaRoCNRNNWBD0QgAAEIAABCEAAAhBoAQE2Ei1YJCRCAAIQgAAEIAABCECgaQTYSDRtRdADAQhAAAIQgAAEIACBFhBgI9GCRUIiBCAAAQhAAAIQgAAEmkaAjUTTVgQ9EIAABCAAAQhAAAIQaAEBNhItWCQkQgACEIAABCAAAQhAoGkE2Eg0bUXQAwEIQAACEIAABCAAgRYQGOv1er2kc2xsrAVykQgBCEAAAhCAAAQgAAEIDJPA6e2DnFOIKAaKPq8QgAAEIAABCEAAAhCAAASqCHC0qYoM4xCAAAQgAAEIQAACEIBAJQE2EpVomIAABCAAAQhAAAIQgAAEqgj8/2Mu2UNOcGIVAAAAAElFTkSuQmCC"></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>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="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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"></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>
<div class="question" style="padding-left: 20px;">
<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>
</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.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.iv.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in <strong>two</strong> parts. <strong>Part 1</strong> is about simple harmonic motion (SHM) and waves. <strong>Part 2</strong> is about atomic and nuclear energy levels.</p>
<p><strong>Part 1</strong> Simple harmonic motion (SHM) and waves</p>
</div>
<div class="specification">
<p><strong>Part 2</strong> Atomic and nuclear energy levels</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A particle P moves with simple harmonic motion.</p>
<p>(i) State, with reference to the motion of P, what is meant by simple harmonic motion.</p>
<p>(ii) State the phase difference between the displacement and the velocity of P.</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 diagram shows four spectral lines in the visible line emission spectrum of atomic hydrogen.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) Outline how such a spectrum may be obtained in the laboratory.</p>
<p>(ii) Explain how such spectra give evidence for the existence of discrete atomic energy levels.</p>
<div class="marks">[6]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The energies of the principal energy levels in atomic hydrogen measured in eV are given by the expression</p>
<p>\({E_n} = - \frac{{13.6}}{{{n^2}}}\) where <em>n</em>=1, 2, 3 ..........</p>
<p>The visible lines in the spectrum correspond to electron transitions that end at <em>n</em>=2.</p>
<p>(i) Calculate the energy of the level corresponding to <em>n</em>=2.</p>
<p>(ii) Show that the spectral line of wavelength <em>λ</em>=485nm is the result of an electron transition from <em>n</em>=4.</p>
<div class="marks">[4]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The alpha particles and gamma rays produced in radioactive decay have discrete energy spectra. This suggests that nuclei also possess discrete energy levels. However, beta particles produced in radioactive decay have continuous energy spectra. Describe how the existence of the antineutrino accounts for the continuous nature of beta spectra.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) the acceleration (of a particle/P) is (directly) proportional to displacement;<br>and is directed towards equilibrium/in the opposite direction to displacement;<br><em>Do not accept “directed towards the centre”.</em></p>
<p>(ii) \(\frac{\pi }{2}\)/90°/quarter of a period;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) light from a hydrogen discharge tube/hot hydrogen gas/ hydrogen tube with potential difference across it;<br>is passed onto a prism/diffraction grating;<br>and then is observed on a screen/through a telescope;<br><em>Accept good labelled diagram for explanation of any marking point.</em></p>
<p>(ii) each wavelength corresponds to the energy of the photon emitted;<br>when an electron makes a transition from a higher to lower energy level;<br>since only discrete wavelengths/finite number of wavelengths are present, then only discrete energy levels are present / <em>OWTTE</em>;</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) −3.40 eV;<br><em>Award <strong>[0]</strong> for omitted negative sign.</em></p>
<p>(ii) energy difference between levels\( = \frac{{hc}}{{\lambda e}} = \frac{{6.63 \times {{10}^{ - 34}} \times 3 \times {{10}^8}}}{{4.85 \times {{10}^{ - 7}} \times 1.6 \times {{10}^{ - 19}}}}\);<br>=2.55eV;<br>\(\left[ {3.40 - 2.55} \right] = 0.85 = \frac{{13.6}}{{{n^2}}}\) to give <em>n</em><sup>2</sup>=16;<br><em>n</em>=4;<br><em>Award<strong> [3]</strong> for reversed argument.</em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the total emitted energy is shared between the electron and the antineutrino;<br>the energy/velocity can be shared/distributed in an infinite number of ways / <em>OWTTE</em>;</p>
<div class="question_part_label">f.</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">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.</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>
</div>
<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 polarization.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by polarized light.</p>
<p> </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>Unpolarized light is incident on the surface of a plastic. The angle of incidence is <em>θ</em> . The reflected light is viewed through an analyser whose transmission axis is vertical.</p>
<p style="text-align: center;"><img 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cGCBSgsLAzJ39YmC8UIUrdWJkyYoI3t0Vox0uE5CZAACXhPQF7Q77vvPi3jypUrQ/JFvVWFoqOKiYnBunXrsGfPHg2EAOFBAiRAAiTgHQFxeJKpBHlJnzFjBs477zzvCrBJ6laHvFqTPTc3FzNnzsRjjz2mzbOEKpDW2s5r9iZg1eEPe1MNjPRm+85sPl+3Sp8+EGenp59+Gj179vR1FZYqr00LxSgprRUjDZ6TAAmQQNsEPv/8c9xxxx3o16+fNvEe6spEaHhsoRjR0Vox0uC51QlY5W3V6pysKJ/ZvjObzxcMZOLd6XRqnrKLFi3Cdddd54tibVGGxxaKsTW0Vow0eE4CJEACDQRkbcnEiRNx8OBBfPzxx2GlTISAKQvF+PDQWjHS4LkVCQTzbdWKPOwkk9m+M5uvI2zktzA2NhZZWVnaGpOOlGXXvB1WKNJwfeKJ61bs+hhQbhKwJgGzisFsPjMUZIhLJtzl9+/VV18N+Yn3thj5RKHoFcgk1Pjx4+kJpgPhJwmQQIcImFUMZvN5K6woEXEHTkhIQHJycsi6A3vKxdQcirvCZfJJxg1lHFEW8IiC4UECJEACoUhAD+ooK99lOQWXUvhgDsXdg6JbKyNHjsTkyZMJ2x0oXicBEnBLwKylYTafW0EMN0IxqKOheR069amFYpREt1bk2tChQ2mtGOHwnARIwJYEQjWoo686w6dzKO6EorXijgyvkwAJtEXArKVhNp87WfSgjmvWrMEbb7wRknG43LXdm+t+s1CMQtBaMdLgOQmQgJ0IyMS7HtRR5ogZfd197wXEQjFWT2vFSIPnJEACbREwa2mYzddSFgnqKBsPPvfcc5AF3TzaJhAQC8UoAq0VIw2eB4KA/LjwIAFvCMjaOtnjfe3atdrW6FQmntELuIViFIvWipEGz/1FwFdvq/6Sj+W6J2C278zmE0n03yVGVnffL+7uBNxCMQpCa8VIg+ckQALBJCAT77LSXRZnS1BHWazItSXe9UhQLRSjqPpbAdetGKnw3BcEOvK26ov6WYZ5Amb7ztt8+tqSiy66CLNnz6YiMdllQbVQjDLr1kpkZCTXrRjB8JwESMCvBCSoY69evRAXF6ft806rxDxuy1goxiaIm55MiA0ePBiPPvooZI97HiRgloC3b6tm62E+3xMw23ee5NPXlhQWFoZ9UEdf9ZxlLBRjg8TPe+XKlVrUTtnxTN4geJAACZCArwjIS6tE8JAREf23xldlh3M5lrRQjB2iWyuiZKZNm0ZrxQiH5x4R8ORt1aOCmCjgBMz2XVv5JKijTL5LUMchQ4YEvE2hXKElLRQjcN1akX2Zaa0YyfCcBEjAGwKytmTcuHH45JNPsG7dOioTb+B5mNbyFoqxHbRWjDR47imBtt5WPS2D6YJDwGzftcwnQR0l6rmMcowaNSo4jQmDWi1voRj7gNaKkQbPPSWglPI0KdOFGAGZeJ87d66mTCSoI5WJfzvYVhaKEQWtFSMNnpNAaBJoaWl42krJd+jQIW3jK/EW5Z5MnpLrWDpbWSjGptJaMdLgOQmQQEsCYo1MmDABM2bM4ELFlnD89N22FoqRB60VIw2ek0DoEPDWQpGJd4kOnJ6erlkoPXv2DB0YNmiJbS0UI1taK0YaPCeB8CQg4ZvEE1Q8QuWgMgn8cxASFooRG60VIw2ek4C9CXhiocjE+6pVq7S1JRLUUcI4eZLP3mSsKX1IWChGtLq1ctNNN3HdihEMz0kgBAlIUMeJEydiz5492toSUSY8gkcg5CwUI0pjBFF56GgCG+nwnASsT6AtS0NCMsXGxiIrK+sMd+C28lm/1faV8Gz7it6+5KJAFi9erO24JtFEW3vw2i+FKexOgD8udu/B5vIbgzqKazBfFJvzCea3kBvyag2muA/KgyfbeUroBbFceJAACdiPgMyRSlBHORjU0Xr9F9JDXq3hzs7OxujRo2mttAYnRK/RQrFvxxr7zpugjsZ89m29/SQPO4UiXaTPrcj5008/TZPZfs+tVxLzx8UrXJZKLH333XffITU1VZMrLS3No4jj7PPgdGNYDHm1RKvPrcgObTK3IlYLDxIgAWsSkLUlt956qzYfys32rNlHulRhqVD0xnNuRSfBTxKwFgE9qKNIJUEdExISrCUgpWmVQFgrFCFCa6XV54IXSSBoBGRI+r777muqX9aW8bAHgbCcQ3HXNZxbcUfG3tc5nm6f/tOdZnJychATE2N6xTv7PDh9HtLrULxFqlsr8lBz3Yq39JieBMwT0IM6HjlyhEEdzWMMes6wH/JqrQf0uZXNmzdz3UprgHiNBHxIwBjUceHChfS69CHbQBfFIa92iEt4h5kzZ3Lr0HY48TYJeEugtaCOLcswO3RlNl/L+vndOwK0UNrhJeO469atg1grI0eOhKzU5UECJNAxAjJfyaCOHWNoxdy0ULzoFd1aeeyxxxAfH89d4Lxgx6QkoBPQ/46mTZt2RlBHPY3+adbSMJtPr5ef5ghQoXjJTZ88FEtl3rx5oEujlwCZPGwJGIM6vvrqqx7NlZhVDGbzhW3n+KjhHPLyEqSs1BVFIntVjxkzBhJfSP5QeJAACbgnwKCO7tmE0h1aKB3oTVorHYDHrGFDQNzwZZ/3BQsWYMiQIV6126ylYTafV8Ix8RkEqFDOQOL9BX1MmHMr3rNjjtAlIC9c3gZ1bEnDrGIwm69l/fzuHQEOeXnHq9XUuieYbEMqISPoCdYqJl4MIwKbNm3StuBmUMcw6nQAtFB83N+0VnwMlMXZioDMJzqdTm1uUYI6dtRpxaylYTafrWBbUFhaKD7uFG+tFVozPu6AVoqTHxce/iMga0pktftLL72k7aZYU1ODjz/+uMPKxH8Ss2R/EaCF4i+yANqzVt5//33cc889KCkp4R+fH/uBb6u+gSuK4/Dhw9i1a5emQHbv3o3169ejd+/e2Ldvn1bJAw88oIWb902NYHBIX4EMUDlUKH4GLROTr7/+OgoLC5utW5HrAwYMwMGDB3HzzTfj008/9bMk4Vs8FUrH+l6e1e7duzdTHO5KlN0VfbkJltm+M5vPXbt43TMCHPLyjJPpVPLHNWPGDMyaNavZuhXxfhFlIoe83f397383XQczkoA/Ccgz/Nvf/rbJCnFXl6fb87rLz+v2J0ALJYB9qK8UXrp0KSRMtwwf6Mell16K4uJihnPRgfjwk2+rHYdptKjdleZr60TqMdt3ZvO5axuve0aAFopnnHyS6rzzzsPkyZNRV1fXTJlI4WKtvPjiiz6ph4WQgK8JiJXy9ttvux3OWrZsmdt7vpaF5VmXABVKgPvmqaeeQnl5eau1/vnPf+YallbJ8KIVCFRXV7dqQYt1LcFSeZAAFUoAn4EtW7ZgyZIlbmv85ptvMHv2bLf3eYMEgkFAhmrnzp2L1157DR9++KG2YNEox7PPPtuqojGm4Xl4EKBCCWA/yyr6o0ePtlmjuBrn5+e3mYY3SSBQBFoGdbzmmmuwePHipuppnTSh4AlXygf2GZDFX+LDL15dMmciQ1/ixy+H/KHKPTnERfPQoUN869NodPw/TtCaY9hWUEd9DZXMnSQkJJirwINcZvvObD4PRGKSNgjQy6sNOIG8pa+Y3759O9577z1N6SxatAjXXXddIMVgXSQA8ejSgzo+/fTTbvctkYWNsqhRnE38dZhVDGbz+asdDeXWoDR/Ld5blolvE99E2vCL/VtdEEqnQgkCdE+qFGtm/Pjx2rbD4hnmzz9aT+RhmvAgIEEd5XmTyNn+tDw8pWlWMZjN56lc3qdzoSZ/Jq667XlUYiBS8taFpELhHIr3T0ZAcohlIvGQ5Bg6dKgW6iIgFbOSsCQgE++yi6IoEwnqaAVlElodEYHI4XNRVuJETGg1rFlrqFCa4bDWF7FKZJW9DH2JtSKeNvKHz4MEfElAYnSJw4jM6zGooy/Jhl9ZVCg26HPdWunZsyetFRv0l51ElIn3Xr16aVtay9bWHFq1U+9ZT1YqFOv1SasSyR+6DEPIcITEBRNrRSZPeZCAGQJi6aakpGDt2rWaR6FsuxDWh6sS25alYlinTlq4l07DZiC7tKYRiQu1pQVYnZGMuzK/RE1pNlKHRaFTp/5IzNyD2iZwp1C5bUXjPSknFqnZxYb7TQkbTw4jP3VQQ31avb9DZukJACdQmvm7xuuDkJr/f6jV64xKREb2Jygo/BK6dIDIl4OMxP4NeSTNR6WN9YojwFvISIxF6kc7UbggEVFRycgsPp27pVQd+q542I5AXV2dWrZsmbrhhhtUTk6O7eSnwMElsGPHDu3ZeeWVV5Q8S1Y+AJgSz7t8x1WJM145krJUWb1S6thu5UzopxDjVCXyvTpPpTigAIeKTnpeLd1SoepVvarOm64ciFfOkuOajPUlThXj+IPKKjspmVSRM6nZfUmkpcFAlZL3bWO7TqqKvFkq2lBOQ2EHVNYjk5SzqFqp+iLlvHNSY7lSyAG1ZulGVd2QUB3b+heVMn+jqhBZVb06VrRUJTikjv80yiiy91MJkqZ6i0qPHqnStx5prN+3H7RQOqSOg5PZaK3I6mV506S1Epy+sFuty5cv1+bjZF5OPLk4xGXowYsvxAXyi9i1N24ZevXpG5HDkVachxQH0GXISIwd7EAEItC1Z2/0x36UlJ22UYBIXHjB2ZDPPrcMQf/Tpbg56wLH8D/gTyn7MdP5aZPV4dqXh8yf3oN7r4qEa9+neGv7EezfshuVLgARl2FE4hBEaiVWofDtv2HeE7cg6iyxis7CBVc/iOWV27AiZw8w/DkU502HA+fgkmv7whE5GFM2vIMpAy90I0/HLlOhdIxfUHPL9qorV65Ev379tHAYssqex5kExIU03A+ZeB83bhz27NmDdevWcX1TswfiXPRJehsVabfg+20fYnXGI4hOXtUshSdfIvokIadiLqK/34F3V2fgoehkePYX2Q2Df/cA+s57Hasbh7z2bSzEL2Ov0ZRGRO/b8EjcdkwdPQgDH8rA6nx9OAtAzS7krLgCzpLjYso1+1eRNrxR6XgivW/SUKH4hmPQSqG1EjT0tqlYXjRGjRqFuLg4bZM3X26AZRsI7QjqqtyEBYmxmLbhKDoPm4V8p4lgl65KbY6iz7QN+KHzMMzN99RFOAJdB4zCH5OKGqyUmk/hzB6M5OjGhY8Rl2HU4lxsXbMIYw/OR/xtfdEnORvlYq1ox0a8tfEAmr7ql4PwSYUSBOj+qJLWij+o2rtMY1BHceYQpcKjFQKuYix9MBHrhv4FS6bcjxEDZUjL2+MESpdOwo3rhuLDJVNw74iBcHhTSEQvxExIQt95r+C1Re/hi1G/Qm9j/ggHBo4Yh7QNB1Cx5VX8Zu1cLCw4DEReg9ixUchNnoTpywobhsQ00Y9iR/7OpiE0b1tjNr1RZLNlMJ9FCIS7tSLha+RtXOYJZF5J/unDXfIp/2TYR65LGlkVHqpzT8JC1pbIIcOi8sLBww2B2gqU7K7Dqaoa1AFwVe7CZyXVwO59+Lp4Ewq+Es+r9o5alJXsB05V41idSwrBjs9KcErmWL7+AgUF/27HgtCtlH2YPv9HJMVecVqp1WxGtigP7eiCn/Vw4Gxcgb49uwJoGC6LRi7mPXhj4zyKPOtjkPfTywI+5GXOhcK3jgEszQ8EwsUTbOPGjWrOnDma19KIESOUeC5lZWWpkpIS7d93332njB4/+nVJY8wnXnOHDh3yQ08Evkhpm3gAChu7H8a+86Yt3uXTPa2g4EhQ6blFqkzz4IpRKVlFqlq8tyCeUg3/HCm56qB2X7/mUDHOIvVDRa6aHu1o8KhKX6dKynJVisOholOyVMmxHwweV5KvIY/mmNXUsAbPsZ+n5DV6cDXeqN6t8tZ8oLKcKSpaZIhOUUu3iqeZfpxUFVuXqxStbr0NJeqYavBea5DboX4VHa3udBYZ8un5fffJWF7tvXjY/L68qcobubyhTps2LSR21ROroqCgAC+88AKuvfZabXOnQYMGuW2bWCYyYenukNluQR4AAA9OSURBVAlr2TJAQo9ER0fj4YcftuUbvXDxJKijOw5WvN5e37mT2Ww+d+UF5rqsP3kczsufs2+cL9/pJpZkVQKhYq1IO/S3b7FExNrw5PDmbVXe6sXSmTp1qsfleyKDv9Poa0vE0gqlw5u+M7bbbD5jGYE+ry/LUkl3Nq59CXTlPqqPQ14+AmmHYuQHWP+xlKEgOx3yg6nL7u3QlJkfF1kwKsNG8gNt5cV/IpsoV5HVUwVrp36XvjP7zxbtPCYLDWWYTNrZTyVlHfDrkJS/mXBSPjC2rCVqkWGvNWvW4KabbrLVuhV9MZ6EnJF4UxLTzN+HhCKR9RqybmPixImQYTGrHeEQ1LHl2gpvvlutv1qV5/yf4YorugOOBKTnZuHlUZednoxvNYO1L3IOxdr94zfp5MdI37++rU2U/CaABwWL26v8mMuRlpbmdo6kvaI6Op6u71xopQ3PxJstNjYWOTk5CPs4XO09ALwfMAJUKAFDbc2K5Mdy9OjRyMrKstQ6BX2CWSbdJURIsA9946kFCxZgyJAhQRNHlKy8AIizhTgRBMJaC1pjWbHtCHDIy3Zd5luBZbGb7F8vUWdljYYVhnbkRzMpKUnz4LKCMhHiokRE+coGVKJcgnHILp6y2dqll16qrS2hMglGL7DOtgjQQmmLTpjds4K1og9zWcUyafkI6FszC6tA/qDLPJJYJFYadmvJht9JgAqFz0AzAsGeW5F9XuSQnSqteoiFkp6erlkJ/o7Wa+yPjswjWZUl5QotAhzyCq3+7HBr5K178eLFWiBB2clP3sQDdchEc2FhoTasFKg6zdQjw1+33347ZD7Fn4cxqKP0CYM6+pM2y/YFAVoovqAYomUY34797Qkmk/Ddu3fX5nMCOZRktutkaE5iZYkrs2zR7MtDyhZlJcpV3KQZh8uXdFmWPwnQQvEnXZuXHUhrRcKoLFu2LKDzEh3pHhnqEmUi/0QB+OpgUEdfkWQ5wSBAhRIM6jar09+eYPIjKrG54uNN7EERRJZimYj1IB5yvjhkeHHMmDGYMGGCNofk7/kZX8jMMkjASIBDXkYaPG+XgD88wSR45YgRI/y2vqOjCxvbgiLKUJSADE+ZPfQ1N5Lf30OLZmVkPhLwhAAtFE8oMU0TAd1a2bx5s0/WrejWiXeLBV2oLc1BRmJ/bY+TTlGJWFBY2c5+E01NaOfEu7LFQhEXZ7NrU8QN+Y477sCtt96qOUPYYf6oHYC8HcYEqFDCuPPNNl1+9GSyWIaoRMGI1WJ2HkE8mSSsvueHC7XFK/CH6CnYfd3rqKg/gq1PfIcnUv+OHbUd3QTVXNkPPvgg3n33Xc+bAGi8ZF3J+PHjtbUlCQkJXuVnYhKwJAF/R59k+aFNQKIWS6h3iQRsJtqtRMn1KvJxY3RWR1KWKmvcYeiHrenq54hXzpLjrcKWSK4eHSbKlnIl4q/U4WlUYomWrEdO9jSPR/IzEQkEmQAtFEuqefsIJWsjxFqRiWSZS5AV3Z5aKzLcI8NFnq+vOIptrz+DqQW34LnU/0EP7el1oa66CnX4FlXHfuwAOPNly+T5nDlzsH379nbrF4tM1vcIL+HGifd2kTGBjQhQodios6wsqjHcu6zPkLmR9o5du3ZpCyjbS6ffd5Xn47X5H8CR8iju7XNu4+VT+ObAPlTiv9DtgrP1pF5/drRs2TFyx44dbusVJSvOB6+99pq21oYRgt2i4g0bE6BCsXHnWU10b62VTz75BP369fOwGSewL+fvyKwciLGx1yCyKVctykr2A47euPySLk1XvTvpeNmXX345du7c2Wq1olwZ1LFVNLwYagSCPOTG6kOUgCdzK97MO6j6IuWM0Xe2O3MXP0dKnqp2w7LdOZQOlG2ssrV6ZMdHmSeSHSd5kECoE6CFEmpvCBZpT3vWioR1ueGGGzyfQ6itQMnuSiDGiZJ6JbPs2r/6Eidi0NJq8RKCj8qW9siaEjmkfbIdgFhhsvOjr8OzeNlCJieBgBCgQgkI5vCtxN3cSl1dHaKjoz0G8+Pe7ciqdCDm979C76an9jAKnK8h1xGD2EHdPC6rZUJflS3tOXz4sLYmRdyp4+LitLUlnjsdtJSM30nAXgTMz2Laq52UNogEdGtFPJzEE0w2zRowYIAXEumeXH3xm2t7Nu257Sr/J95cUYHoJ0ZicGSTlvGiXEnqu7J//PFHvP7669i/fz/eeOMNBnX0sieY3P4EzP4V2r/lbEHACRitlUceeQTnnqt7arUnSgTO/2k3nN/Mk+sodqzMRGbfqch4dBC6tlGEDI+5PzpWtl6uTLzL0Fbnzp21fVIYIVgnw8+wIhDqk0RsnzUJvPnmm+qXv/ylkklrjxb3VeepFIdDRadvUcdUtSrJmq6iHUnKWeRuKt6Ldnew7KysLG3iPScnx4tKmZQEQo8Ag0OG1euDtRorazM83/ejMSzK8AexvBJwJMzHsqeS8Zs+px2IzbfOXNkyAS9h948cOcKgjubhM2cIEaBCCaHOtGtT9H3aJZ5VcnKy555fQWywLrPMBzEOVxA7glVbigDnUCzVHeEpjLjUfvzxx6ipqdEWAMqPtVUPsaoY1NGqvUO5gk2AFkqwe4D1NyOgv/mPHDlS21veSrGu9C2RL7roIsyePdsWllQzuPxCAn4mQAvFz4BZvHcEdGtFckm4EqtYK3pQR1lbwqCO3vUpU4cPAVoo4dPXtmupFawVGeKSXRTFLViGurgBlu0eIwocQAK0UAIIm1V5R8BX1opsAWzmYFBHM9SYJ5wJ0EIJ5963Uds7Yq2Y2VNe9nURi0Tcmr3bnthGUCkqCfiYAC0UHwNlcf4h4CtrpT3pWgZ1pDJpjxjvk8BpArRQTrPgmU0IeGuteGqhbNq0SfMskz3uJbgjDxIgAe8I0ELxjhdTW4CAr60VmXifO3eupkwkqCOViQU6mSLYkgAtFFt2G4XWCYi1MmvWLAwePNjtupW2LBSZeJetedvKr9fFTxIggbYJ0EJpmw/vWpyAWCsrV67U3Hm9XbeSnZ2thdOfMGECZsyYwYWKFu9rimd9ArRQrN9HlNBDArq1IaHjZR5E39iqpYXCoI4eAmUyEvCSAC0UL4ExuXUJiCIRa6Vfv3644447IKvbWx4yRCb3JM3ChQu5ULElIH4ngQ4QoIXSAXjMal0CRmslPT0dsuWw0+mErC9ZtGgR93i3btdRMhsToEKxcedR9LYJiPfWqlWrtAWKUVFR2pa8DOrYNjPeJYGOEPBaoch4NA8SIAESIAESaLm99tlmkHywdr2ZbMxDAiRAAiQQIgTujLv9jJZwUv4MJLxAAiRAAiRghgAVihlqzEMCJEACJHAGASqUM5DwAgmQAAmQgBkCVChmqDEPCZAACZDAGQTCUKG4cKJ8JzauTsPDmTtQdwYSX134Ad9tegVjU7Ow97jLV4WyHBIgARKwLAFTXl6WbY0ngtXtxMqUqVhdBXSLj/EkB9OQAAmQAAl4QCD8LJTzB+ChFUsw6fruHuDxIonrW+zeVYnTtkhndB/yR6xIG40rzws/zF6QY1ISIIEQIcBfOp90pAsnvtqI/MoffVIaCyEBEiABOxKgQvFFrx0vxQd/eweHfVEWyyABEiABmxIIKYXiqirF5pzFmPbUh9h7aCOWpP4ed8b9HtMy12Nv1Q9td5GrCnvXL8a0uNshK0DvTHXi03LDlP3xQ/g0cxrujBuHF1dvROmuInxV5wKOFyNr1tPI3FWB7S89hLvjJmDJzmrgeBl2bnwbLyY5sVPSNR11KN+RhRcfaKhnbMa7KG1Ptqa8PCEBEiAB6xIIHYXiOoT1L/4Jz770FnafKMIXR65CYtpbeP/NFFxdshjPLN+C74y/68365BTKP3oVz+y5GlM/WI8Pshdj0n9txpzXPka5lucUyv/5Nv7VdzLeX7sYT957I7p//58GD7HzrsLo5zMw6fooXP/4Ery/9jU8dC2wc+VczJizCPknjRXVYu/qNLyy83I8tGI9PvjgTfzv2f/A5BfXN9ZjTMtzEiABErAXgdBRKBG9EDNnEebG9wHO/QVu6HcxpHER3QYg/v4YICcf2ypPtd07kT+BNn9+Xg/8sn+v02ld/8EX//wKP1buxVeaNdEZ3W+ORv/z3eH7Ka5NegmLHv/16TLkrG4vNn54Ke773QB0axAOV8XdheGoQ91Jt9queRn8RgIkQAIWJeDuF9Gi4poRKwLnXhyFy/ENyg8fd1NAF/SI/X9YkdQPJ/YWYuPqBZj20j9Pp424BAP/52p87pyFx/84H1kbd6Lc67UlLtTt3d7CYumMbn1H4Mk59AQ7DZtnJEACdiUQBgrFs65xVX2BNRnTsGRnLc6+NgHPN7MuxAX4Uby88DlMuu0IMuc8ifEP/xmfftfOvExrVVftxz7j3ExraXiNBEiABGxIIAwUigsnDlfgQLeBuP7KC1rvIm3+JQ3b+j+OyfcOx01XdseZu750Rrcrb0JM0gt4/82XMW7ALvzl3T1erLTXLaUtyPzbWy0m/P+NnXuPtS4br5IACZCATQiEpkI5sAv/2lulLTJ0VRUh96MvMWjCXe7nPE4cRvmBk/jh2PeQWRZX1X4UiRVxoAL/V/YFdlcexu5NRU3KI+LCi/HfZ3fG5T0uxrlNHX0SB8oP48Txr7B557eGBY5NCRDR41YkJN8I7FqJOQ/f0+BNJh5ls7bj/J4/OZ2QZyRAAiRgQwKhqVAuvxQX/3sJEuNux91//Afqb5uMR4b8TJukR90OLBn7EF7e/h2qVk1F/FNrUX5uP4xIuQtwPobRD6Thna9/ggEDr0S3qr34/FAkrnScg/O7HkPJpg8bXJHvXICSfhMx+Te9GsqMuASDfncXeqx6Ac+8dRR9+nfB7szHMV7mYapWYsbo55BbLqqqK64c9SReevL36K89LN3RP/5JzJ0Yx9X0NvzjocgkQALNCZjaAti6OzZWY2fmdMz46m4sejYOPUJTXTbvQX4jARIggSAQkPV6LbcA5k9uEDqCVZIACZBAKBKgQgnFXmWbSIAESCAIBEJHocjcyAOjMWNVKbD9RYwf2zLkSRDoskoSIAESCCMCobMfioSlf3M9HgqjzmNTSYAESMBKBELHQrESVcpCAiRAAmFIgAolDDudTSYBEiABfxCgQvEHVZZJAiRAAmFIwNQ6lDDkxCaTAAmQAAm0INByHYrXk/ItC2hRPr+SAAmQAAmEKQEOeYVpx7PZJEACJOBrAv8fy8A4eK9DSi8AAAAASUVORK5CYII=" alt></p>
<p style="text-align: left;">The variation with <em>θ</em> of the intensity <em>I</em> of the transmitted light is shown in the graph.</p>
<p style="text-align: left;"><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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" alt>Explain why there is an angle of incidence, for which the intensity of the transmitted light is zero.</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 style="text-align: left;">Unpolarized light from a source is split, so that there is a path difference of half a wavelength between the two beams.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">A lens brings the light to focus at point P on a screen. The lens does not introduce any additional path difference.</p>
<p style="text-align: left;">State and explain whether any light would be observed at P, in the case in which the polarizers have their transmission axes</p>
<p style="text-align: left;">(i) parallel.</p>
<p style="text-align: left;">(ii) at right angles to each other.</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>light for which the <span style="text-decoration: underline;">electric field</span> is oscillating in (only) one plane;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>at a particular angle of incidence the reflected light is horizontally polarized;<br>and will be blocked by an analyser/polarizer with a vertical transmission axis;</p>
<p><em><strong>or</strong></em></p>
<p>at a particular angle of incidence when the reflected and refracted rays are at right angles the reflected light/rays will be horizontally polarized;<br>and will be blocked by an analyser/polarizer with a vertical transmission axis;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) mention of superposition/interference;<br>interference is destructive and so there will be no light at P; <br><em>Award <strong>[0]</strong> for correct answer with no or wrong argument.</em></p>
<p>(ii) there will be light at P;<br>the two sources cannot interfere because their planes of polarization are at right angles; <br><em>Award<strong> [0]</strong> for correct answer with no or wrong argument. Award<strong> [0]</strong> if answer mentions no light at P irrespective of anything else said.</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>
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</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>
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</div>
</div>
</div>
</div>
</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
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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>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 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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>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 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><div class="specification">
<p>This question is about polarization.</p>
<p>Unpolarized light is directed towards two polarizers. The dashed lines represent the transmission axes of the polarizers. The angle <em>θ</em> between the transmission axes of the polarizers is initially 0 º.</p>
<p><img 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" alt></p>
</div>
<div class="question">
<p>On the axes below, sketch a graph to show how the intensity <em>I</em> of the light emerging from the second polarizer varies with <em>θ</em>.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>general cos<sup>2</sup> shape;<br>zero intensity at 90˚ and maximum at both 0˚ and 180˚;</p>
<p><img 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" 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[N/A]
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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 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" 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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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