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<h2>SL Paper 1</h2><div class="question">
<p>A spring XY lies on a frictionless table with the end Y free.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>A horizontal pulse travels along the spring from X to Y. What happens when the pulse reaches Y? </p>
<p>A. The pulse will be reflected towards X and inverted. <br>B. The pulse will be reflected towards X and not be inverted. <br>C. Y will move and the pulse will disappear. <br>D. Y will not move and the pulse will disappear.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The graphs show the variation of the displacement <em>y</em> of a medium with distance <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span> and with time <em>t</em> for a travelling wave.</p>
<p style="text-align: center;"><img 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"></p>
<p style="text-align: left;">What is the speed of the wave?</p>
<p style="text-align: left;"> </p>
<p style="text-align: left;">A. 0.6 m s<sup>–1</sup></p>
<p style="text-align: left;">B. 0.8 m s<sup>–1</sup></p>
<p style="text-align: left;">C. 600 m s<sup>–1</sup></p>
<p style="text-align: left;">D. 800 m s<sup>–1</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two pulses are travelling towards each other.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbgAAAB4CAYAAACAVeezAAAJVklEQVR4Ae3dsW4TWxCH8fXtaKGFFp6AmpISBC0KLwAFBQhBDQU1LwA9EVRI9FQ8AdRuoYQyVxuBBeH6xrHXOzPn/Nzg2N4zM99/5C+2kLI4Ojo6GtwQQAABBBBojMA/jc1jHAQQQAABBI4JEFyni/Dy5cvhx48fnU6fa+wPHz4My+UyV1O6QaABAgTXQIjbjHD//v3h2rVrw+Hh4TaXu2YCAl++fBlu3rw5XL9+ffj+/fsEJzoCAQR+J0Bwv9Po7P6nT5+G27dvH7/Jjm+2bvMQ+Pbt2/D8+fPhypUrw7t37+YpqgoCHRIguA5DPzny+CY7vtk+evRoGN983fZDYPxKePzEfOHCheHp06f7KeJUBBBYEVhU/V+Ui8ViNYQ70xF49erVcHBwMN2BTloRGD8l37lzZxg/ObtNT8B/CJ+eafUTywquOvjo/k/+gvDw4cPh8ePHw/nz56Nba7r++Cnu/fv3x18N/z7o58+fh8uXL//+kPsIILAjAV9R7giw+uU3btwYxjfXFy9ekNsMYZ47d264devW8PXr1+HZs2czVFQCgX4JEFyn2V+9enV48+bN8PbtW58cAnZg/KT85MmT418uxl8y3BBAYHoCvqKcnmmJE8evysZPE245CMgjRw66aIsAwbWVp2kQQAABBH4S8BWlVUAAAQQQaJIAwTUZq6EQQAABBAjODiCAAAIINEmA4JqM1VAIIIAAAgRnBxBAAAEEmiRAcE3GaigEEEAAAYKzAwgggAACTRIguCZjNRQCCCCAAMHZAQQQQACBJgkQXJOxGgoBBBBAgODsAAIIIIBAkwQIboZYx7+9tlwuZ6ikBALTEBh39uPHj9Mc5hQEgggQ3Ezgx78BRnIzwVZmEgIPHjwguUlIOiSKAMHNRP7g4OD4D12S3EzAldmZwOHh4UByO2N0QCABgpsJ/r179waSmwm2MpMQuHjx4kByk6B0SBABgpsRPMnNCFupSQiQ3CQYHRJEgOBmBk9yMwNXbmcCJLczQgcEESC4APAkFwBdyZ0IkNxO+FwcRIDggsCTXBB4ZbcmQHJbo3NhEAGCCwI/liW5QPhKb0WA5LbC5qIgAgQXBP5XWZL7RcK/VQiQXJWk9ElwCXaA5BKEoIUzESC5M+Hy4iACBBcE/mRZkjtJxM/ZCZBc9oT0R3CJdoDkEoWhlY0IkNxGmLwoiADBBYFfV5bk1pHxeFYCJJc1GX0RXMIdILmEoWjpfwmQ3P/i8WQQAYILAn9aWZI7jZDnsxEguWyJ6IfgEu8AySUOR2v/SYDk/hOLB4MIEFwQ+E3LktympLwuCwGSy5KEPgiuwA6QXIGQtPgHAZL7A4cfgggQXBD4s5YlubMS8/poAiQXnYD6BFdoB0iuUFhaPSZAchYhkgDBRdLfojbJbQHNJaEESC4Uf9fFCa5g/CRXMLTOWya5zhcgaHyCCwK/a1mS25Wg6+cmQHJzE1eP4ArvAMkVDq/T1kmu0+CDxia4IPBTlSW5qUg6Zy4CJDcXaXUIroEdILkGQuxsBJLrLPCgcQkuCPzUZUluaqLO2zcBkts3YecTXEM7QHINhdnJKCTXSdBBYxJcEPh9lSW5fZF17r4IkNy+yDqX4BrcAZJrMNTGRyK5xgMOGo/ggsDvuyzJ7Zuw86cmQHJTE3UewTW8AyTXcLiNjkZyjQYbNBbBBYGfqyzJzUVanakIkNxUJJ1DcB3sAMl1EHJjI5JcY4EGjUNwQeDnLktycxNXb1cCJLcrQdcTXEc7QHIdhd3IqCTXSJBBYxBcEPiosiQXRV7dbQmQ3LbkXEdwHe4AyXUYevGRSa54gEHtE1wQ+OiyJBedgPpnJUByZyXm9QTX8Q6QXMfhFx2d5IoGF9Q2wQWBz1KW5LIkoY9NCZDcpqS8juDswEBylqAaAZKrllhMvwQXwz1dVZJLF4mGTiFAcqcA8vRAcJZgRYDkVijcKUKA5IoEFdQmwQWBz1qW5LImo691BEhuHRmPE5wd+IsAyf2FxAPJCZBc8oCC2iO4IPDZy5Jc9oT0d5IAyZ0k4meCswNrCZDcWjSeSEqA5JIGE9QWwQWBr1KW5Kokpc9fBEjuFwn/EpwdOJUAyZ2KyAuSESC5ZIEEtUNwQeCrlSW5aonpl+TsAMHZgY0JkNzGqLwwCQGSSxJEUBsEFwS+almSq5pcv32TXL/ZE1y/2W89Ocltjc6FQQRILgh8cFmCCw6ganmSq5pcv32TXH/ZE1x/mU82MclNhtJBMxEguZlAJylDcEmCqNoGyVVNrt++Sa6f7Amun6z3NinJ7Q2tg/dEgOT2BDbZsQSXLJCq7ZBc1eT67Zvk2s+e4NrPeLYJSW421ApNRIDkJgKZ9BiCSxpM1bZIrmpy/fZNcu1mT3DtZhs2GcmFoVd4SwIktyW45JcRXPKAqrZHclWT67dvkmsve4JrL9M0E5Fcmig0siEBktsQVJGXEVyRoKq2SXJVk+u3b5JrJ3uCayfLtJOQXNpoNLaGAMmtAVPsYYIrFljVdkmuanL99k1y9bMnuPoZlpmA5MpEpdGfBEiu9ioQXO38ynVPcuUi675hkqu7AgRXN7uynZNc2ei6bZzkakZPcDVzK981yZWPsLsBSK5e5ARXL7NmOia5ZqLsZhCSqxU1wdXKq7luSa65SJsfiOTqRExwdbJqtlOSazbaZgcjuRrRElyNnJrvkuSaj7i5AUkuf6QElz+jbjokuW6ibmZQkssdJcHlzqe77kiuu8jLD0xyeSMkuLzZdNsZyXUbfdnBSS5ndASXM5fuuyK57legHACSyxcZweXLREc/CZCcVahGgORyJUZwufLQzQkCJHcCiB/TEyC5PBERXJ4sdLKGAMmtAePhtARILkc0BJcjB12cQoDkTgHk6XQESC4+EoKLz0AHGxIguQ1BeVkaAiQXGwXBxfJX/YwESO6MwLw8nADJxUVAcHHsVd6SAMltCc5lYQRILgb94ujo6GgsvVgsYjropOpPzJ1MO8+Yr1+/Hu7evTtPsQ6r2NnpQ18ul8OlS5emP9iJxwRO7uxKcPgggAACCCDQEgFfUbaUplkQQAABBFYECG6Fwh0EEEAAgZYIEFxLaZoFAQQQQGBFgOBWKNxBAAEEEGiJAMG1lKZZEEAAAQRWBAhuhcIdBBBAAIGWCBBcS2maBQEEEEBgRYDgVijcQQABBBBoicC/VXCVdd+nLbIAAAAASUVORK5CYII="></p>
<p>What is a possible pulse shape when the pulses overlap?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A sound wave has a frequency of 1.0 kHz and a wavelength of 0.33 m. What is the distance travelled by the wave in 2.0 ms and the nature of the wave?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What is the phase difference, in rad, between the centre of a compression and the centre of a rarefaction for a longitudinal travelling wave?</p>
<p>A. 0</p>
<p>B. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{\pi }{2}">
<mfrac>
<mi>π</mi>
<mn>2</mn>
</mfrac>
</math></span></p>
<p>C. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\pi ">
<mi>π</mi>
</math></span></p>
<p>D. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="2\pi ">
<mn>2</mn>
<mi>π</mi>
</math></span></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Unpolarized light of intensity <em>I</em><sub>0</sub> is incident on the first of two polarizing sheets. Initially the planes of polarization of the sheets are perpendicular.</p>
<p>Which sheet must be rotated and by what angle so that light of intensity <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{I_0}}}{4}">
<mfrac>
<mrow>
<mrow>
<msub>
<mi>I</mi>
<mn>0</mn>
</msub>
</mrow>
</mrow>
<mn>4</mn>
</mfrac>
</math></span> can emerge from the second sheet?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A wave travels along a string. Graph M shows the variation with time of the displacement of a point X on the string. Graph N shows the variation with distance of the displacement of the string. PQ and RS are marked on the graphs.</p>
<p style="text-align:center;"><img 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"></p>
<p>What is the speed of the wave?</p>
<p>A. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mtext>PQ</mtext><mtext>RS</mtext></mfrac></math><br><br>B. <math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>PQ</mtext><mo>×</mo><mtext>RS</mtext></math></p>
<p>C. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mtext>RS</mtext><mtext>PQ</mtext></mfrac></math><br><br>D. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mtext>PQ</mtext><mo>×</mo><mtext>RS</mtext></mrow></mfrac></math></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A system that is subject to a restoring force oscillates about an equilibrium position.</p>
<p>For the motion to be simple harmonic, the restoring force must be proportional to</p>
<p>A. the amplitude of the oscillation.</p>
<p>B. the displacement from the equilibrium position.</p>
<p>C. the potential energy of the system.</p>
<p>D. the period of the oscillation.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two identical waves, each with amplitude <em>X</em><sub>0</sub> and intensity<em> I</em>, interfere constructively. What are the amplitude and intensity of the resultant wave?</p>
<p><img 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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>When a sound wave travels from a region of hot air to a region of cold air, it refracts as shown.</p>
<p><img src="data:image/png;base64,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"></p>
<p>What changes occur in the frequency and wavelength of the sound as it passes from the hot air to the cold air?</p>
<p><img 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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Unpolarized light with an intensity of 320 W m<sup>−2</sup> goes through a polarizer and an analyser, originally aligned parallel.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" 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"></p>
<p>The analyser is rotated through an angle <em>θ</em> = 30°. Cos 30° = <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>3</mn></msqrt><mn>2</mn></mfrac></math>.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" 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"></p>
<p>What is the intensity of the light emerging from the analyser? </p>
<p>A. 120 W m<sup>−2</sup></p>
<p>B. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>80</mn><msqrt><mn>3</mn></msqrt></math> W m<sup>−2</sup></p>
<p>C. 240 W m<sup>−2</sup></p>
<p>D. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>160</mn><msqrt><mn>3</mn></msqrt></math> W m<sup>−2</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>This question proved a little challenging for SL candidates with many choosing incorrect answers especially C or D instead of correct A. At HL option C also was a popular option although a high discrimination index shows that the question discriminated well between the candidates. It appears that candidates are forgetting that 50% of the intensity is lost when unpolarised light passes through a polarizer, and then more is lost at the analyser according to Malus' Law.</p>
</div>
<br><hr><br><div class="question">
<p><span style="background-color: #ffffff;">Unpolarized light is incident on two polarizing filters X and Y. They are arranged so that light emerging from Y has a maximum intensity. X is fixed and Y is rotated through <em>θ</em> about the direction of the incident beam in its own plane.</span></p>
<p><span style="background-color: #ffffff;"><img style="margin-right:auto;margin-left:auto;display: block;" src="data:image/png;base64,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" width="264" height="145"></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">What are the first three successive values of<em> θ</em> for which the final transmitted intensity is a maximum?<br></span></span></p>
<p> </p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">A. 90°, 180°, 270°<br></span></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">B. 90°, 270°, 450°<br></span></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">C. 180°, 360°, 540°<br></span></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">D. 180°, 540°, 720°</span></span></p>
<p> </p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The diagram shows an interference pattern produced by two sources that oscillate on the surface of a liquid.</p>
<p> <img src="images/Schermafbeelding_2018-08-10_om_16.41.00.png" alt="M18/4/PHYSI/SPM/ENG/TZ1/15"></p>
<p>Which of the distances shown in the diagram corresponds to <strong>one </strong>fringe width of the interference pattern?</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A string is fixed at both ends. P and Q are two particles on the string.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>The first harmonic standing wave is formed in the string. What is correct about the motion of P and Q?</p>
<p><br>A. P is a node and Q is an antinode.</p>
<p>B. P is an antinode and Q is a node.</p>
<p>C. P and Q oscillate with the same amplitude.</p>
<p>D. P and Q oscillate with the same frequency.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>In a double-slit experiment, a source of monochromatic red light is incident on slits S<sub>1</sub> and S<sub>2</sub> separated by a distance <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="d">
<mi>d</mi>
</math></span>. A screen is located at distance <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span> from the slits. A pattern with fringe spacing <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
<mi>y</mi>
</math></span> is observed on the screen.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>Three changes are possible for this arrangement</p>
<p style="padding-left:90px;">I. increasing <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
<mi>x</mi>
</math></span></p>
<p style="padding-left:90px;">II. increasing <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="d">
<mi>d</mi>
</math></span></p>
<p style="padding-left:90px;">III. using green monochromatic light instead of red.</p>
<p>Which changes will cause a decrease in fringe spacing <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="y">
<mi>y</mi>
</math></span>?</p>
<p> </p>
<p>A. I and II only</p>
<p>B. I and III only</p>
<p>C. II and III only</p>
<p>D. I, II, and III</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A pipe of length <em>L</em> is closed at one end. Another pipe is open at both ends and has length 2<em>L</em>. What is the lowest common frequency for the standing waves in the pipes?</p>
<p>A. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mtext>speed of sound in air</mtext><mrow><mn>8</mn><mtext>L</mtext></mrow></mfrac></math></p>
<p>B. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mtext>speed of sound in air</mtext><mrow><mn>4</mn><mtext>L</mtext></mrow></mfrac></math></p>
<p>C. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mtext>speed of sound in air</mtext><mrow><mn>2</mn><mtext>L</mtext></mrow></mfrac></math></p>
<p>D. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mtext>speed of sound in air</mtext><mtext>L</mtext></mfrac></math></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A particle is displaced from rest and released at time <em>t </em>= 0. It performs simple harmonic motion (SHM). Which graph shows the variation with time of the kinetic energy <em>E</em><sub>k</sub> of the particle?</p>
<p><img src="images/Schermafbeelding_2018-08-10_om_16.43.41.png" alt="M18/4/PHYSI/SPM/ENG/TZ1/17"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What changes occur to the frequency and wavelength of monochromatic light when it travels from glass to air?</p>
<p><img 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" width="316" height="203"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What statement about X-rays and ultraviolet radiation is correct?</p>
<p>A. X-rays travel faster in a vacuum than ultraviolet waves.</p>
<p>B. X-rays have a higher frequency than ultraviolet waves.</p>
<p>C. X-rays cannot be diffracted unlike ultraviolet waves.</p>
<p>D. Microwaves lie between X-rays and ultraviolet in the electromagnetic spectrum.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two strings of lengths <em>L</em><sub>1</sub> and <em>L</em><sub>2</sub> are fixed at both ends. The wavespeed is the same for both strings. They both vibrate at the same frequency. <em>L</em><sub>1</sub> vibrates at its first harmonic. <em>L</em><sub>2</sub> vibrates at its third harmonic.</p>
<p>What is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{L_1}}}{{{L_2}}}">
<mfrac>
<mrow>
<mrow>
<msub>
<mi>L</mi>
<mn>1</mn>
</msub>
</mrow>
</mrow>
<mrow>
<mrow>
<msub>
<mi>L</mi>
<mn>2</mn>
</msub>
</mrow>
</mrow>
</mfrac>
</math></span>?</p>
<p> </p>
<p>A. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{3}">
<mfrac>
<mn>1</mn>
<mn>3</mn>
</mfrac>
</math></span></p>
<p>B. 1</p>
<p>C. 2</p>
<p>D. 3</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A body undergoes one oscillation of simple harmonic motion (shm). What is correct for the direction of the acceleration of the body and the direction of its velocity? </p>
<p>A. Always opposite <br>B. Opposite for half a period <br>C. Opposite for a quarter of a period <br>D. Never opposite</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A longitudinal wave moves through a medium. Relative to the direction of energy transfer through the medium, what are the displacement of the medium and the direction of propagation of the wave?</p>
<p> </p>
<p><img 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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p><span style="background-color:#ffffff;">A student blows across the top of a cylinder that contains water. A first-harmonic standing sound wave is produced in the air of the cylinder. More water is then added to the cylinder. The student blows so that a first-harmonic standing wave is produced with a different frequency.</span></p>
<p><span style="background-color:#ffffff;"><img src="data:image/png;base64,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"></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">What is the nature of the displacement in the air at the water surface and the change in frequency when the water is added?</span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;"><img 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"></span></span></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The graph shows the variation with time <em>t</em> of the velocity <em>v</em> of an object undergoing simple harmonic motion (SHM). At which velocity does the displacement from the mean position take a maximum positive value?</p>
<p><img 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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p style="text-align:left;">A string fixed at both ends vibrates in the first harmonic with frequency 400 Hz. The speed of sound in the string is 480 m s<sup>–1</sup>. What is the length of the string?</p>
<p style="text-align:left;">A. 0.42 m</p>
<p style="text-align:left;">B. 0.60 m</p>
<p style="text-align:left;">C. 0.84 m</p>
<p style="text-align:left;">D. 1.2 m</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>Response D was the most common option selected, perhaps by students equating the wavelength of the sound with the length of the string, or incorrectly taking the first harmonic to be the fundamental frequency.</p>
</div>
<br><hr><br><div class="question">
<p>A beam of unpolarized light of intensity <em><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>I</mi><mn>0</mn></msub></math></em> is incident on a polarizing filter. The polarizing filter is rotated through an angle <em>θ</em>. What is the variation in the intensity <em><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi></math></em> of the beam with angle <em>θ</em> after passing through the polarizing filter?</p>
<p><img 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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>Option B was chosen most frequently among both HL and SL candidates. It seems likely that students selecting this answer were anticipating a question with two polarising filters where the second filter was rotated. Again, careful reading of the questions by candidates is necessary. A high discrimination index was observed for this question. This is a good conceptual question and would be useful in the teaching and/or revision of polarisation.</p>
</div>
<br><hr><br><div class="question">
<p>Three quantities used to describe a light wave are</p>
<p> I. frequency<br> II. wavelength<br> III. speed.</p>
<p>Which quantities increase when the light wave passes from water to air?</p>
<p>A. I and II only</p>
<p>B. I and III only</p>
<p>C. II and III only</p>
<p>D. I, II and III</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two travelling waves are moving through a medium. The diagram shows, for a point in the medium, the variation with time <em>t </em>of the displacement <em>d </em>of each of the waves.</p>
<p> <img src="images/Schermafbeelding_2018-08-10_om_16.38.32.png" alt="M18/4/PHYSI/SPM/ENG/TZ1/14_01"></p>
<p>For the instant when <em>t </em>= 2.0 ms, what is the phase difference between the waves and what is the resultant displacement of the waves?</p>
<p><img src="images/Schermafbeelding_2018-08-10_om_16.39.41.png" alt="M18/4/PHYSI/SPM/ENG/TZ1/14_02"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two wave generators, placed at position P and position Q, produce water waves with a wavelength of<math xmlns="http://www.w3.org/1998/Math/MathML"><mo> </mo><mn>4</mn><mo>.</mo><mn>0</mn><mo> </mo><mtext>cm</mtext></math>. Each generator, operating alone, will produce a wave oscillating with an amplitude of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo>.</mo><mn>0</mn><mo> </mo><mtext>cm</mtext></math> at position R. PR is<math xmlns="http://www.w3.org/1998/Math/MathML"><mo> </mo><mn>42</mn><mo> </mo><mtext>cm</mtext></math> and RQ is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>60</mn><mo> </mo><mtext>cm</mtext></math>.</p>
<p style="text-align:center;"><img src="data:image/png;base64,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"></p>
<p>Both wave generators now operate together in phase. What is the amplitude of the resulting wave at R?</p>
<p><br>A. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn><mo> </mo><mtext>cm</mtext></math></p>
<p>B. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn><mo> </mo><mtext>cm</mtext></math></p>
<p>C. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mo> </mo><mtext>cm</mtext></math></p>
<p>D. zero</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A standing wave is formed on a rope. The distance between the first and fifth antinode on the standing wave is 60 cm. What is the wavelength of the wave?</p>
<p>A. 12 cm</p>
<p>B. 15 cm</p>
<p>C. 24 cm</p>
<p>D. 30 cm</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>Option D was the most common (correct) answer, however answers A and B proved to be significant distractors. This would be a useful practice question when reviewing standing waves, nodes/antinodes and wavelengths.</p>
</div>
<br><hr><br><div class="question">
<p>Two sound waves from a point source on the ground travel through the ground to a detector. The speed of one wave is 7.5 km s<sup>–1</sup>, the speed of the other wave is 5.0 km s<sup>–1</sup>. The waves arrive at the detector 15 s apart. What is the distance from the point source to the detector?</p>
<p>A. 38 km</p>
<p>B. 45 km</p>
<p>C. 113 km</p>
<p>D. 225 km</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A girl in a stationary boat observes that 10 wave crests pass the boat every minute. What is the period of the water waves?</p>
<p>A. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{10}">
<mfrac>
<mn>1</mn>
<mn>10</mn>
</mfrac>
</math></span> min</p>
<p>B. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{10}">
<mfrac>
<mn>1</mn>
<mn>10</mn>
</mfrac>
</math></span> min<sup>–1</sup></p>
<p>C. 10 min</p>
<p>D. 10 min<sup>–1</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The bob of a pendulum has an initial displacement <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>x</mi><mn>0</mn></msub></math> to the right. The bob is released and allowed to oscillate. The graph shows how the displacement varies with time. At which point is the velocity of the bob at its maximum magnitude directed towards the left?</p>
<p style="text-align:center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYAAAADOCAYAAAA34tUXAAAeqUlEQVR4Ae2dT8sdx5XG8z1mEphxMihCmEnIYHuUIQQzBGsbDJbJYmItLAiGeGPt4pW1mcSbibWJFzFYi8lCTLAghmRlgfYW+gKK8gFefYI7/K5yrurW7b63b3f9OVX9FNy3u6vrz6nnVJ+n6lR1v9/YKAgBISAEhMAqEfjGKlutRgsBISAEhMDmJAFcuXJ5c/Pmu1uo7t//YvPNb/7DhmOqcPv2R9syLy4uUhXZRDl3736+uXPnkyZklZBCQAj0icBZBJADgjUSAGQHkdJ2BSEgBIRALQREABWQFwFUAF1VCgEhcIDAHgE8efJkc/36W9vRqY1Qj7mAHj36ei/91auvbXBtWGCES35cHZTHj/LJZ2FoBnDr1ge79OTBBRW7iMIySRO7U5ADeaxeygzDtWtvbMulbEtjsoVxcT7kCO9TTugSMzcZ8nDPyjb5zPhbPPgoCAEhIARqILAjAAwTBhMjSODayACDRzDjZgYvTM99M+Zm4O0aQwi5ECgTo0f5YR67pi7S2zVlkT40xFauyWFkYEYW44+BtWvqjmU140xZhAcPvjow1lZOSGrkC9tjspCfYBhRX4yDyUvbkM/q3mbUHyEgBIRAYQR2BGBG1Aw1cmDAMFRDBGBGzIzskNyxcSQN+WxWwLWlIZ66Q8NtZWJwMagWyG9EZXHhMTb23DNjbkY5LpM0lBvWY3FmqK0MM/ZWJ3lijEJcDCsrJ762cnQUAkJACJREYEcAGLDY+CEIRjE2bjaSxYjaSNbiQuExeOSPA/nMgIcEYOkw0sTzs1mIlWMj9dDAWj6OYyQSxyMDvzCEbbX4MI5ZiMlh9zmG8TYDiPEgn81iRAAhejoXAkKgFgI7AhgyiAgVGsAh44aRhjggAn5m5MjLvSGDGdZFGvJhFAmQDdek4R6jbs6tHJNhjABs1mLyxEfKJIQybCOitg7FmWxxmXZNG0y+IQIwIhUBGLo6CgEhUBOBHQFgnM6dAYSCY9Qw/hhDI4FjBDA0A7DRfehzp46QACzNGAHYSD8uI5TVyqTcMIRkZ/FhHO0awsjSchQBhGjoXAgIAc8I7AgAg4rxxoBasNG0jVzHjJul54hRjY27+d25D1FgVM2AhzMAkyFMTx7S87PAudVhceERI20yW7wRh43M58wAxuRDFiOTMYyQOZSJa5uNmIzh8fHjx5tXX31l8+zZszBa50JACAiBZAjsCIASMZwYM4w0P84hBTNcoXGzkbaN9slv92PjbmWShnPqoXxCSABGOGYYQxlCAjBDbMacfKGBtcVakwNZY4MfXyNLWMZWuIE4y2dEGctiGJhsY+VQF9hZOZbOjm+++dMt9jduvGNROgoBISAEkiKwRwAYIzP6GH4McWgUY+PGNQaRtPxIa0YXKc24Y+gsDeWHRs/SGCGY8bb03DcjG+azuDBdiAzlQDR2HxKzOkhnhjzME7bV4uM4yqAsK5c6QndTjNFYOaH8oVyk//TT321H/9Rx+fKlzZdf/smK0VEICAEhkAyBPQJIVurfC4qNe+ryeyzv6dO/bo3+w4cPtySD8ZcrqEdNq01CoD4CIoD6OtiTAJfPhx/+ahvHDIAQxu0l1oUQEAJCYAECIoAF4KXOyqgfl48t/BoB2KyAhWEFISAEhEAqBLISQCoh11IOhh9jb8EIgGuMvxGD3ddRCAgBIbAEARHAEvQy5w0JIHNVKl4ICIEVIiACcKx0EYBj5Ug0IdABAiIAx0oUAThWjkQTAh0gIAJwrEQRgGPlSDQh0AECIgDHShQBOFaORBMCHSAgAnCsRBGAY+VINCHQAQIiAMdKFAE4Vo5EEwIdICACcKxEEYBj5Ug0IdABAiIAx0oUAThWjkQTAh0gIAJwrEQRgGPlRKLZp8zRWfwLP5keZdOlEKiKgAigKvzHKxcBHMfH010jgPBz6MhHvP2fDU/yShYhAAIiAMf9QATgWDmRaGMEQDJ9Fj0CS5duEBABuFHFoSAigENMvMacIgBmAQpCwBsCIgBvGgnkEQEEYDg/HSMAcwHF/yLUeXMk3koQEAE4VrQIwLFyItGMANDZ0C/8t6FRVl0KgWoIiACqQX+6YhHAaYy8pDACiBeBw/+zTRoFIeAJARGAJ21EsogAIkAcX44RACIfu+e4SRJtBQiIABwrWQTgWDmRaMeM/MXFxdYtxG4gBSHgCQERgCdtRLKIACJAHF8eIwC7p3UAxwpcqWgiAMeKFwE4Vk4kmhn5eA2A0f/1629trl17I8qhSyFQHwERQH0djEogAhiFxt0NIwB0Fv/4FAREYMFcQjdvvmtROgqBKgiIAKrAPq1SEcA0nJRKCAiBeQiIAObhNpoLF4CNAG3RD9/vlSuXt/GjGQduiAAGQFGUEBACyRAQASSDcr8gfL4YcIz/3K9BigD2MW3p6rPPfr8j/ddf//Hm2bNnLYkvWVeCgAggk6Ix/BjwJYt/IoBMyslc7NOnf93NAtEhv5/97O3Mtap4IXA+AiKA8zGblMMW+swNdCyTGYmh409+8p+bN9/86ebTT3+3wbAo+Ebg8ePHm/ff/+UBAVy69C+bP/zhf30LL+m2CHz55Z+2OuS545lEp70GEUAmzfIJAPz+S2cAdD7rkJcvX9p2TLkTMiltQbHoCYPx6quvbN577xcHBEA899GhiGAB0BmzohfTEwOuhw8fZqzNR9EigEx6YIsfP0YQ4RbAc6ojbxgw/B9++KutEVlD5wzb7vkcY4Fh//jj3+zERE82o+OejSLRm83qROQ7uKqeoAfIGb2s7bkSAWToeuwE4scngDECthDMrCDcL8434rkeCzEBWDpmBBpJGhp1j7h7MBxm4ENpcNmNGZRj+cIydJ4XAYw/+kMfawwigIRat//8FL4NipHHFfTgwVfbmkhj6wK8IRqmjUUZIwDSYXBEAjFiZa/NiM8dydvMYW7+sq3tr7a1G380KgIo3K9xCzEjIGD8j20RPUYA5DcSGBtlFm7aqqrDeOMvXmq8l5LIqkBP2FgZ/+dgigASdqopRTHqNwIw19BYvlMEQD4WrpgJLDVEYzIo/hABCDf06x+mOC/mxo13VuuCOA+pdKkhXvz+aw8igMI9IOUMwERnwVGd2dDIe4RoGfkzA0gVKBNCYW1HIT8CtoamQZNcQPl7W1QD/n9z+3CcuwYQFpvDKIXl6/wFArnI1mYVMkovsM5xJrLdR1UzgH08sl+xGIxrhx+Lw+wMGgtTXECWVwbEkMh3NIxzvZAnV1A+3VnJEDg4KzxHQATguCecQwA0g45NB1fIgwButnCvf+paIBZcQRCNQnoE2DTBM5WLwNNLnL9EEUB+jGfXcC4B0LHVwWfDfTSjvSWa20UDwWg956gqZt/MTeCzBauYUQRQEfxTVZ9LAJTH7gZ+CmkRYOG3xCcczEetWUBa/Zn7LjeBp5U6f2kigPwYz65hDgFoFjAb7tGMNvofTZD4hmYBiQHdbLazqpzuu/QSlylRBFAG51m1zCEAKtIsYBbco5n4VECJ0b8JoFmAIZHmaGsrGv0f4ikCOMTETcxcArA3hNXhl6uyluuAxXy58pbrjxI0IBrHUQQwjk31O3MJAMFZ8Er5slJ1MCoJgPGo4TqQKy+NwhkE8RyBp8IhAiKAQ0zcxCwhAN52ZOFSYT4CtY0w23prkM98xPzlZBCkXVXjehEBjGNT/c4SAkB4CECfF5ivRoxvzZeGROLzdWc59QwYEsNHEcAwLi5ilxIABkx+5Pmq9GA8PMgwH8G6OW39pq4UvmsXATjWz1ICMBeGFoPPV7IX41F7FnI+cn5yMPjRm/HH9SECOI5P1btLCQDhS29hrApYwsq9GA+R+DylMuhJ+cnueVL4zyUCcKyjFATA/nVIQOE8BDwZD5H4ebojtfr9NMxEANNwqpIqBQFoG9z5qvO2+MpOlpqL0ecjWD8HeGkb9Gk9iABOY1QtRQoCQHg9DOepEPePJ+NhJK61nGl6NLy09/80XiKA0xhVS5GKADQdPk+FuH+8GQ9IvOTnKM5DzFdq9ffp+hABTMeqeMpUBKAR0XTVeXP/mORyAxkSp4+a8Z7GyFKIAAwJh8dUBEDTNIKcpmAvu39iabUbKEZk/JrnxtsMblzaundEAHXxP1p7SgLQCPIo1Lubnnb/7IT6+4l2A8WIHF4zg9Out0NcxmJEAGPIOIhPSQA2gnTQLLci8BVV3rz1GiBxZigK4wh4ncGNS1z3jgigLv5Ha09JAFTEyIgRksIwAt4/wWyf+R6WXrEgAIGDk8I0BEQA03Cqkio1AejbQMfV2AJBysCN61AEOY7N2B0RwBgyDuJTE4B3F0dNyFtxkeHigMgVDhGQi+wQk1MxIoBTCFW8n5oAaIrnRc6KUG/32LNTynvQIue4hvjuv96VGMdn6I4IYAgVJ3E5CIARJCMlhX0EWsHF3unQW8H7+hMu+3hMvRIBTEWqQrocBMAIqYWRbmm4W5oZaaR72Ds0MzrEZEqMCGAKSpXS5CCAVnzdJSFvbW1Evu7D3sEOLq2NHOJyKkYEcAqhivdzEADNYbcL//BE4TkCrRnU1girRD9Tn56HsghgHm5FcuUiAI2W9tXX4mcyPH6wbh/VclfMasFD4XwERADnY1YsRy4CwF+KH1nhOQLg3Nqiaouklau/aV1rPrIigPnYZc+ZiwBsx0T2BjRQAa4w3AethdbcVjnxbWUHV04M5pYtApiLXIF8uQgA0eUzfa5AFg5b/MfhWgd48QDq7egXWJx7JgI4F7GC6XMSgNYBnisSV1ir30fSOsBm+9ln+f/nGyURwHzssufMSQBaB3iuPjBuzf9vHU/rAM//+bvea7Eecf5RBHA+ZsVy5CQArQNstlthW/T/WwfUOsBm+3lscFCYh4AIYB5uRXLlJAAasPZ1gFb9/9b5tA6gzz9bX5h7FAHMRa5AvtwEsPZ1gJb9/9b91rwOoP3/1gvmH0UA87HLnjM3Aax9HaAH47nmdYC1998UBkgEkALFTGXkJoA1rwP04j5Z8zrA2mewKcyOCCAFipnKyE0AiL3WdYBeDOcpIru4uNjcvv3Rhr5kv+vX39o8evR1pl5brti19t2UCIsAUqKZuKwSBMAoao27KHpyndBPhrayYuSvXLm8weA/efJk1ztv3nx3Swb373+xi2vtZM2z15S6EgGkRDNxWSUIYK3fUeHtURYRewhji9lXr762Nf5Dbbx27Y0N91sNfMJD37Narj0RwHIMs5VQggDWuJOitzYPbWe9e/fz7Sj/wYOvBvsnswNcQ60G2sxPYRkCIoBl+GXNXYIAaEBPo+EpCult1jM0Gr5164Ot+2cKHi2mGZv1tNiWmjKLAGqif6LuUgTQkz/8BKTb2z2ue8R9BT9/yy6eU3qkvUPrHqfy6f4+AiKAfTxcXcUPdS7hetkRMxWfHnePxG3qmQDY+UR7FZYjIAJYjmG2EkoRwJoeqF53j8R74vHvswOox7C2AUtOHYoAMqLLQhtb8DDk/Nh5weLc1FCKAJCHutYwpR7yl0/Vh+d08boGWzzR6dgiMG25c+eTve2hntsXyrY2l2XY9tTnIoDUiAbl2TY8XsYhsDDHQzn1JZySBLCWRbWhHTOBypo9HdrZZP1vqFE2Q7C+OZTGa5z+AUw6zYgA0mG5VxIjr6ERGNNyRl5TQkkCWMu2up6JLjaMQy+CYfDtRbBzZqNT+muJNENEV6LeVHXwnHmaaYsAUmk2KgcjjwGPR1i4gXgAp4SSBND7h7V46HD/gOnf/vZ0CvzNpXn77evbvf2s6VjgDWCbedJ2fkOfgjCX0dTBiZVf+oirq+UXwFir4SOEXt6+FwFk6sE2xY6Lx/hDAlNCSQLodXEUnGnbyy9f2Ro/MH3llX9zNQqb0hdOpfnss9/v2kcb33vvF6eyNHk/XuxusREMRJitQWTMaGoGEUAm9DH0Q7swxuKHxChJANRPp6Rz9hYwGmAZ/n796//uqpnf/vY/77WPttY2LjkAjre75qijVJm4g9ATx1pBBJAJ+TFDPxQfGiad7xtq4SE81tAHaq0LiAAyEUBrLiBgwC/JFrveAusbsRHpbabDyDhs49Dss3W9orNeXgDjWWMtgNlpLeNPfxABZHoqji0Cswg3JfBAlwynvi1fUpbUdfHAgecPf/jvm3v37qUuvnp5GJGf//y/Nt/97qXtGke4EFxduEQC4CrBYLYc0Au+fy/uVhFApt7U2jZQg6GHf5NobQmPve9ysrb23M4eXgBjEFLT52/9xI4iAEMiw9FexLGtoLYdb+6LYDarsKk+5VnZqcTvdZ98D7tHpuiYmUDpmeMUuVKk6XVwgj3AZWyBc3SY+tm28sOjCCBEI/E5e6vDT0FACOe8fBM+yGb8LT+dhvJYVE4ZephmD+EBscV+fyNkjj2F+IWwHtrWs3uSbeFTt4an1qUIIDWiCcsLCQAiidcOIIXUi309LbSFqgDLeLEN7HjwUmMY1lvj/P33f+nmRaNU7Y+/dZSqXA/liAA8aMGhDCEBYKTCaSLi2tubU11KU5sY1js1j+d0Q6TGTIp22lqNzaw8t2OqbBhLSKCn0COpoR+MP/3QfuYO4tpcQKRhps/P0jEYJG0YF89kyR/epxxsRhg0AwjRcHaOsgkoknNG/GGgAxAfKzVMM+e8p5dtaD87gOLdIzxAuNAItlYzByuPeXp0l9Ane9zZRP+JZwDxGoCRhA0AbdAS2gQb0IQDGSuXz4EQrFzyWxABGBIOj0YAZujHCCCOX9qU3hZM490jECozKsONI1jbg7IUPw/5e1ow7Xlhm75ihtr6jRnqcAZggxVLQ/8dijOSMEIIjT15ycOswIIIwJBweKxFAGwl7OmFsNgYxgZ/jGAddonJIqE/9NhD6HlrK/qZQgCkCQMEEBpy7oVxuIO4jkMcLwKIEXJ0bQRQ2gXU+id3QxXSFnbFhCF+4Lg3FBfmae28p91ctMXT3vnUfSHue0MzgHMJIPT9Y0fin80uRACptZmwPCMAioTNbXpnVdgicDzNs/tLjr1sJYx3j9hoP34g7Jr7PYShhe9W2zW0hbfVtgzJnYMAGOnHLqKhukUAQ6g4iQsJoNQ2UGt6L7su4nZAopCpjYCsvfj/wTsmWbvf4pH2xFtf1Q5/CDBaD0f4KWYA5uaMBzTYkbAuEYC//rCTKCQAW9SxVX4UGy/o7DImOOllK2E8kzmGWbgzKAGE1YvoYeTc00xmrENAADZaZ2CSggCoy2YWtrnBSCHcNSgCGNOKg/iQABDHOgbx/Og48Ug2ldg9bCVk9MsCsAXbPjfmMjOSDR8Qy9visQffeU9rGWN9iMEcs1KeafqePef2bJshD/OTnuc/DHEc+Ulj9gKSsQGk5RMBGBIOjyiuZoh3z9SUZU7d8e6RKX7R8CGyBzGeRs+RpUaeuP01ZFhaZ0+7mZZikSO/CCAHqonKrE0A8f75RM0qVkxv7zOcC1wP++cZhPSwjnGu7kqlFwGUQnpGPbUJgDdoW/6kQG9vNM/oQtt/oIIfvcXQgxvSO+4iAMcaqk0ALT+APYx+U3TNlmdBrQ9AUugvdxkigNwILyi/NgEgeqvrAD34vxd0nV3WlnFo3QW5U4LjExGAY+V4IIBWH8KWR74pu2TLM6FWBx8p9Ze7LBFAboQXlO+BAFqdhsv//6LjtYhFy+7HF8j7PxMBONaRBwJo8UFsedSbozu2OBtqdeCRQ385yxQB5ER3YdkeCIAmtDYVb9nvvbDLDGZvEY9WXY+DCnAcKQJwrBwvBNDaw8jW1Z6/Hnlul21xRkTf50uuCnkREAHkxXdR6V4IoLXpePz9n0VK6CQz6wDMBFoIa/j+jxc9iAC8aGJADi8EwDoAbqAWQk//yyAl3qwD8GshrOH7P170IALwookBObwQAKK1MqqOv/8/AOsqo1oaVbc0W2m9M4kAHGvQEwHE39X3ChvrFbisFA4RoD9596vbegVHhfwIiADyYzy7Bk8EwMia78t7D63tWCqJZwuL+a30s5J6y1mXCCAnugvL9kQALYzMcHPgqlIYRoCZESTgObQy0/SM4TmyiQDOQatwWk8EQNO9+2ZbWugs3JW21bWwQM4Mjk0HCmUQEAGUwXlWLd4IwPt2UEb/rWx1nNUhEmQCI6+fh27xrfMEKqlahAigKvzHK/dGAJ63g7Ywuj2u7TJ3Pc+SkK3l/z9RRoNpaxEBpMUzaWneCIDGed0O2oJ/O2nnmFmY53US7y7GmZC7ziYCcKwejwTgdQSJ8WAHicJpBDz62TWDO623HClEADlQTVSmRwLAx+5tp00LO5QSdYkkxeBmgcg9Bc3g6mhDBFAH90m1eiQABPc2gtTbv5O60y6RRxLXDG6nnqInIoCicJ9XmVcC8DaC5AU1uX/O61ueSBz3D31db/+ep8MUqUUAKVDMVIZXAvA0gpTxmNf5PJG43D/zdJgilwggBYqZyvBKADTXywhSxmNe5/NE4nL/zNNhilwigBQoZirDMwF42bMt4zG/83kgcc/vlsxHtp2cIgDHuvJMAB4eXJNBvuN5ndgDiXuQYR56feQSATjWo2cCALbao28Zj2Wd1wOBMgvx+mmKZei2kVsE4FhP3gkA/3vNT0TLeCzvvDVJnJ1b3t4pWY5oWyWIABzryzsB4HrBCLMTp3SQ8UiDODhCAjUCgwcGEQr1EBAB1MP+ZM3eCYAGsJ2QX+lQc+Rauq056zMSL+2G8eB+yolrK2WLABxrqgUCsG+4lFyIxVgx8yhZp+Nusli0GmsptQYOi8HqrAARgGOFtkAAwMdU/uOPf1MMydL1FWtYpYrsZbpSrrzS9VWCtYlqRQCO1dQKAZQckZesy3HXSC5ayRF5ybqSA9VZgSIAxwpthQCAsNSovFQ9jrtFFtFKjcpL1ZMFpA4LFQE4VmpLBFBiZF6iDsfdIbtoJUbmJerIDlRHFYgAHCuzJQIAxhs33sm6I4idPyXXGhx3jSyi5d4RZDt/Sq01ZAGps0JFAI4V2hoB8GDnejmL/eJ6aSh/Z4Vgc70XIALPr79zaxABnItYwfStEQDQ5DAgOYmloDqbqSqHoYbAcxFLM8A6FFQE4FApJlKLBIDsLNSytzxVSF1eKrl6LQdXDX2PY4qQurwUMqmM5wiIABz3hFYJwEbsKf5LF0SikWP5Tmqf2lj6sh35cd3pkw/ldTilRhHAFJQqpWmVAIArxagPI1TrW0OVVO6qWnbsQL5zSYB85KccBZ8IiAB86mUrVcsEQAPMgLN989xgeVO5Ic6tX+mfIzCXBGT82+hBIgDHemqdAICWfz3IKH7q9k0MB0YHt4GMv4/OafqIiRxdERfHozf0p5G/D/0dk0IEcAydyvd6IAAgZE2AhVyMAiP7oYAxsVE/7xNwreAHASNyjDoGHp2+9NI/bb71rX/cLhi//vqPt/Hch/DH9OynRZIEBEQAjvtBLwRgEGMUIAIMBEeMxrVrb2zPaSuGPx5NWl4d6yMAKTOTg8i/852XtoYfvdnv5ZevbO+LvOvraqoEIoCpSFVI1xsBGIQYCAz9H//4f5u//OXPMvoGTEPHH/3oP3aG3whgqpuvoWZ2L6oIwLGKeyUAx5BLtIkI/Pa3/3NAAFqzmQieo2QiAEfKiEURAcSI6NoTAryj8b3v/evmBz/4/ubevXueRJMsExEQAUwEqkYyEUAN1FWnEFgPAiIAx7oWAThWjkQTAh0gIAJwrEQRgGPlSDQh0AECIgDHShQBOFbOSkW7ffujg8Vf+unVq69t7tz5ZKWotNtsEYBj3YkAHCtnpaIZAVxcXOwhcPfu55srVy5vbt36YC9eF74REAE41o8IwLFyViraGAEAByRAn71//4uVotNes0UAjnUmAnCsnJWKdowAgARXkGYB7XQOEYBjXYkAHCtnpaKdIoCbN9/dksBK4Wmu2SIAxyoTAThWzkpFO0UAjP5ZC1BoAwERgGM9iQAcK2elookA+lK8CMCxPkUAjpWzUtFOEcD162/JBdRQ3xABOFaWCMCxclYq2ikC0CJwWx1DBOBYXyIAx8pZqWjHCMC2gT569PVK0Wmv2SIAxzoTAThWzkpFGyMA3gJm8Zf7Cu0gIAJwrCsRgGPlrFQ0IwD6ZvjjP7sNfQrC0mtW4LPDiAB86mUrlQjAsXIkmhDoAAERgGMligAcK0eiCYEOEBABOFaiCMCxciSaEOgAARGAYyWKABwrR6IJgQ4QEAE4VqIIwLFyJJoQ6AABEYBjJYoAHCtHogmBDhAQAThWogjAsXIkmhDoAAERgGMligAcK0eiCYEOEBABOFaiCMCxciSaEOgAARGAYyWKABwrR6IJgQ4QEAE4VqIIwLFyJJoQ6AABEYBjJYoAHCtHogmBDhAQAThWogjAsXIkmhDoAAERgGMligAcK0eiCYEOEBABOFaiCMCxciSaEOgAARFAB0pUE4SAEBACcxAQAcxBTXmEgBAQAh0gIALoQIlqghAQAkJgDgIigDmoKY8QEAJCoAME/h+/5144mH+GrAAAAABJRU5ErkJggg=="></p>
<p> </p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Horizontally polarized light is incident on a pair of polarizers X and Y. The axis of polarization of X makes an angle <em>θ</em> with the horizontal. The axis of polarization of Y is vertical.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" 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"></p>
<p>What is <em>θ</em> so that the intensity of the light transmitted through Y is a maximum?</p>
<p><br>A. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>°</mo></math></p>
<p>B. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>45</mn><mo>°</mo></math></p>
<p>C. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>90</mn><mo>°</mo></math></p>
<p>D. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>180</mn><mo>°</mo></math></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A ray of light is incident on the flat side of a semi-circular glass block placed in paraffin. The ray is totally internally reflected inside the glass block as shown.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>The refractive index of glass is <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>n</mi><mn>1</mn></msub></math> and the refractive index of paraffin is <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>n</mi><mn>2</mn></msub></math>.</p>
<p>What is correct?</p>
<p>A. <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sin</mi><mo> </mo><mi>θ</mi><mo>=</mo><mfrac><msub><mi>n</mi><mn>1</mn></msub><msub><mi>n</mi><mn>2</mn></msub></mfrac></math></p>
<p>B. <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sin</mi><mo> </mo><mi>θ</mi><mo>=</mo><mfrac><msub><mi>n</mi><mn>2</mn></msub><msub><mi>n</mi><mn>1</mn></msub></mfrac></math></p>
<p>C. <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sin</mi><mo> </mo><mi>θ</mi><mo>=</mo><mfrac><mn>1</mn><msub><mi>n</mi><mn>1</mn></msub></mfrac></math></p>
<p>D. <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sin</mi><mo> </mo><mi>θ</mi><mo>=</mo><mfrac><mn>1</mn><msub><mi>n</mi><mn>2</mn></msub></mfrac></math></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>While option A (correct) was the most frequent response from candidates, options B and D were significant distractors. Very few candidates selected option A, recognizing that different frequency and amplitude could not lead to zero intensity through interference.</p>
</div>
<br><hr><br><div class="question">
<p>A glass block has a refractive index in air of <em>n</em><sub>g</sub>. The glass block is placed in two different liquids: liquid X with a refractive index of <em>n</em><sub>X</sub> and liquid Y with a refractive index of <em>n</em><sub>Y</sub>.</p>
<p>In liquid X <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msub><mi>n</mi><mtext>g</mtext></msub><msub><mi>n</mi><mtext>X</mtext></msub></mfrac><mo>=</mo><mn>2</mn></math> and in liquid Y <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msub><mi>n</mi><mtext>g</mtext></msub><msub><mi>n</mi><mtext>Y</mtext></msub></mfrac><mo>=</mo><mn>1</mn><mo>.</mo><mn>5</mn><mo>.</mo></math> What is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mtext>speed of light in liquid X</mtext><mtext>speed of light in liquid Y</mtext></mfrac></math>?</p>
<p>A. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>2</mn><mn>4</mn></mfrac></math></p>
<p>B. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>4</mn></mfrac></math></p>
<p>C. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>4</mn><mn>3</mn></mfrac></math></p>
<p>D. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A beam of unpolarized light is incident on the first of two parallel polarizers. The transmission axes of the two polarizers are initially parallel.</p>
<p><img src="data:image/png;base64,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"></p>
<p>The first polarizer is now rotated about the direction of the incident beam by an angle smaller than 90°. Which gives the changes, if any, in the intensity and polarization of the transmitted light?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A ray of monochromatic light is incident on the parallel interfaces between three media. The speeds of light in the media are <em>v</em><sub>1</sub>, <em>v</em><sub>2</sub> and <em>v</em><sub>3</sub>.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQsAAADOCAYAAAApByfhAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA9FSURBVHhe7d1/bFVlnsfxz3YGHKXbcWQTwCpU5C4whB87jd0ZIAZNnRJxzUU2ooVMyHJLyjhDpMsG5Yea2QHGhLRYrCXAzBS3C0hkuMGBBS0B16WMRYdC10JpxVqsaTeCG9KOhpju9jk9t7QKctvee3ufc96vf3rPQ/+4/eN++D7f85zv/av/6yQAuIkU9ycAfCvCAkBUCAsAUSEsAESFsAAQFcICQFQICwBRISwARIWwABAVwiLGVq1apebmZvcK8A7CIsaysrJUUlLiXgHeQVjEWE5OjhoaGlRZWemuAN7Ag2RxcPr0aS1b9ksdOnRYt956q7sK2I3KIg6mTp2qGTNmau/eve4KYD8qizi5fPmypk2bohMn3lV6erq7CtiLyiJO7rjjDhUXv0yzE55BWMRRMBik2QnPYBsSZ/X19QqFFtPshPWoLOIsEAjo4Yfn0OyE9agsEsA0O+fODWrnzl00O2EtKosEMM3O5csLaHbCaoRFgtDshO3YhiQQzU7YjMoigSLNzrKyMncFsAdhkWB5eXnavXuXU2UANiEsEizS7CwsLHRXADsQFoPANDsvXbqkioq33BUg+dHgHCQ0O2EbKotBQrMTtiEsBhHNTtiEsBhEptm5du1amp2wAmExyLKzH3J+0uxEsqPBmQRodsIGhEWSKC0tdX4uXbrU+QkkG8IiSXzxxReaPTtH27f/1rlTAiQbehZJwmw/aHYimREWSYRmJ5IZ25AkE2l27tsXdm6tAsmCyiLJmH7FE088qW3btrkrQHIgLJLQokWLdPDgAU52IqkQFkko0uxcvXq1uwIMPkvC4jMdWz1TE1cf0xV3xdHRpHD+TM0uOqk2d8krTLNz+PDhCofD7gowuCwJi1SlB8aovaZRrR3ukjrUVh3WlrczlT9/audveE9BQYGKigqdrxIABpslYTFUIzLu1bD6C2puc9Oi4xNVbN0jLVmo7DuHdq15zI2anabaIECQaJaERYpS08cq0P6hGluvdl5HqooH9cziTE9WFRHXa3ZWVVU5k7aARLKmwZkyIkOTh7kXblUxdOUC3Z9mzZ/QL6bZuWHDb2h2YtDZ80lLHdVZlreovvlKd1VR8FjAoj+g/6ZPn65x48bR7MSgsuezljJcGZOlmgvv6c2tB5SxIeTpqsJsO8yTqJHexFNPPdXd7Cwvf9VZAxLJok+buSMyUvV7XtIrjXO0JPuur735/9WfixYoFL7oXtvttttu08WLFzVt2hQnNMx2JC9vCSc7MWgsCouuOyKq/Vzj8oOaltrjrbfV60jRP2tBUY27YD/zbevr16/XkSNHdeXKFSc0TFXxxhv73d8AEsuisEhR2qxf6WxTlbYER3/jjX/n755S6fLOMPEYc/t05cqVqq4+oyFDhqip6WP3X4DEsigsvkVqQLNm/a3S3EsvMk+gmilaJjRCoTydOnXK/RcgMbwRFj5iQmPx4pBWrCjgYBYSirCwUFc/4zfauHGjuwLEH2FhqXnz5un48f/S6dOn3RUgvpiUZbHKykpt2rRJO3bs4CsEEHdUFhaLnOw8fPiwuwLED5WF5Zqbm/WTn/y9c5eEmZ2IJ8LCA8rLy1VbW+sc4gLihW2IB5hmZ0NDA81OxBVh4QGmuWkeYV+3bp3zzWZAPBAWHjF16lSanYgrehYeYk50mgfOaHYiHqgsPMQERHHxy5zsRFwQFh6Tk5NDsxNxwTbEg0xQLFv2Sx06dJiTnYgZKgsPMs3OGTNmau/eve4KMHBUFh4VaXaeOPGu85QqMFBUFh4VaXaWlJS4K8DAEBYeFml2mqdTgYFiG+JxNDsRK1QWHkezE7FCZeEDNDsRC1QWPkCzE7FAWPhEMBik2YkBYRviI+b7U0OhxTQ70S9UFj5ivt3s4Yfn0OxEv1BZ+Ixpds6dG9TOnbtodqJPqCx8xjQ7ly8voNmJPiMsfCjS7KyoeMtdAW6ObYhP0exEX1FZ+FSk2VlWVuauAN+OsPCxvLw87d69y6kygJshLHws0uwsLCx0V4AbIyx8zjQ7L126RLMTN0WDEzQ7EZWbhsXo0Xe5rwB4RVPTJ+6r6FFZwGGG5Lz22mt8uTJuiLCAw3xH6vjxgX79jwN/oMEJh+lV/PjH07mNihsiLNDtgQce0McfN7pXQG+EBbqZeZ3vv/9n9wrojbBAtwkTJujgwQPuFdAbYYFu5kSn0dzc7PwEeiIs0It5uOzs2Vr3CriGsEAvmZk/Un19g3sFXENYoJeJE3+oo0ePulfANYQFejFzOVtbW5xZnUBPhAW+wXzd4blz59wroAthgW/IyspynhUBeiIs8A2TJk3SmTNn3CugCw+S4brMaIK6unrmW6AblQWua+HCn+n8+fPuFUBY4AZM36Kmpsa9AggL3MA999yj2lpOcuIaeha4Lobh4OuoLHBdprE5Z84/MAwH3QgL3NCMGTP0wQcfuFfwO0vC4jMdWz1TE1cf0xV3xdHRpHD+TM0uOqk2dwmxM3bsWFVVVblX8DtLwiJV6YExaq9pVGuHu6QOtVWHteXtTOXPn9r5G4g1MwynvPxV9wp+Z0lYDNWIjHs1rP6CmtvctOj4RBVb90hLFir7zqFda4gpMwzHDPFlGA4MS8IiRanpYxVo/1CNrVc7ryNVxYN6ZnEmVUUcmSG+DMOBYU2DM2VEhiYPcy/cqmLoygW6P82aP8FKDPFFhD2ftNRRCgRaVN98pbuqKHgsYNEfYKcxY8b0GuJrzl+Ul5e7V/ATez5rKcOVMVmqufCe3tx6QBkbQlQVCWCG4RiRYTinTp3S/v37ndfwF4s+beaOyEjV73lJrzTO0ZLsu6gq4iQcDveqHswQ38gwnHfeeUePPvqo8xr+YtHnreuOiGo/17j8oKalXnvrHS1H9Nzs8c5j1RNDW3SyxTRB0V/33Xeftm3bqtLSUufaDPE1w3DMFqSkZLPT9IT/WBQWKUqb9SudbarSluDoHm/8M/3n5k36n/y31Nj03/r3SUf1r4c+UvdxDPSZ2Xrs3LlLu3fvcgJjzJgMZ4iv2YKYW6mRrQn8xQOV/N9o1ro33AD5nv76BwxriYWegVFRUaE//alSr7/+unJzc93fgN946qlTsx15Yc1JPfjrAs0ayUGtWDAHsnJzn9Qtt9yic+fOqrr6TPc3l8FfPFBZuNo+0Ksv/IfG/svPCYoYilQY7e3teuihnxIUPuaBsOhQW92/KTRzs7T8OS0an+auI1ZMYLz0UrGYfOJv9m9DOupUFnxUz1W3uwvSHcv3673lP9J33WvEBkN8/Y1JWYja0qVLlZ+f7xwBh/94p2eBuDPDcD766CP3Cn5DWCBqkydPZhiOj7ENQdQY4utvVBaIGkN8/Y2wQJ9MmTKFIb4+RVigT8ydkLq6OvcKfkJYoE/MEN+ew3DgH4QF+sQc9x4xYiRDfH2IsECfZWZmMsTXhwgL9JkZhsMQX/8hLNBnEyf+sDMs3nev4BeEBfrMPIXa2trSPcQX/kBYoF96DvGFPxAW6Jfx48c7Q3zhH4QF+mXSpEnOEF/4Bw+Sod8YhuMvVBbot4ULf6bz58+7V/A6wgL9lpWVpZqaGvcKXkdYoN9M3+L48ePuFbyOngX6jWE4/kJlgX5jGI6/EBYYEDPEl2E4/kBYYEAY4usfN+1ZmHvpALylP30mGpwYsMrKSj377DPO8yJ5eXl8H6pHsQ3BgE2fPl2HDh1WWlqa5s4NqqLiLfdf4CVUFogpc2eksLDQeV1QUKBAIOC8hv0IC8RFOBxWUVFh57ZkiebNm8fzIx7ANgRxEQwGtW9f2BnsO3t2jtPXgN2oLBB3Zu7FunXrNG7cOK1YsYIGqKWoLBB35ouJduzY4Tx4Nm3aFGeLYo6Kwy5UFkgosy0pKSlRQ0ODU23QALUHYYFBwdkM+7ANwaDgbIZ9qCww6DibYQfCAkmDsxnJjW0IkgZnM5IblQWSEmczkg+VBZISZzOSD5UFkh5nM5IDYQFrcDZjcLENgTU4mzG4qCxgpZudzTD9DXNHxYQLt2Bj4zsvdHJfA9YYPny4HnnkEX311VdatepZDRkyxAkM89MwP02gfPnll5owYYKzhoFhGwKrfdvZjPnz5zuHvLiLEhtsQ+AZ1zub8fjjjys3N9cJFQwMYQFPMVXE4cOHtWzZL1Rc/LJuv/37ev755+ldxABhAU/qeTbjL39pVyiUR3UxQIQFPCFSUXxdXV2dfv/73zlbkj/+8QBnMwaAsIAnXL58WRs3bnSvpLvvvlujRo1yXl+9elWffvqp9u37g9auXavs7IecdfQNYQHfYG7GwFhy6/QzHVs9UxNXH9MVd8XR0aRw/kzNLjqpNncJuBETDqWlpcrJyVEotFjl5eXcVu0DS8IiVemBMWqvaVRrh7ukDrVVh7Xl7Uzlz5/a+RtAdJib0T+WhMVQjci4V8PqL6i5zU2Ljk9UsXWPtGShsu8c2rUGRMk0OleuXKni4s3atGmTVq1a5fQ9cGOWhEWKUtPHKtD+oRpbr3ZeR6qKB/XM4kyqCvTb9eZm4PqsOe6dMiJDk4e5F25VMXTlAt2fZs2fgCRlDmuZrcmJE++qqqrKOfVpmqHozZ5PWuooBQItqm++0l1VFDwWsOgPQLJLT0/X+vXr9fTTTzsN0BdffJEGaA/2fNZShitjslRz4T29ufWAMjaEqCoQFz3nZpgGKHMzulj0aTN3REaqfs9LeqVxjpZk39X95jtaKlUcytLo0eM1+7kjaum+YwL0j9maLF26VNu3/1Z79/7BeW3unviZRWHRdUdEtZ9rXH5Q01Ijb/1LfXhoqw5OKlFt4349Ub1Ju6o5dYHY6Hk2Izf3SV+fzfDWCc62kyr6xxL9YPMWLQp8z10EYsPcWt22bZsOHjzg3HI1d1L8xDth0RJWKOsXOv7TNXr11/+k+0Zy9gLx4dfvNPFOh3BkUNubLujII2eVt7my97FwIIb8ejbDA2FhnhvJUSh8sfP1d5V6+/e7loE48uPZDE9sQzpajuiFRT9XWW27hrENwSDo+Z0my5Yt8+RULh5RB2LE3CUpKyvT7t27PDk3g7AAYqzn3Iw1a9Y4J0O9gLAA4sQ0Ps1XEeTlLdG8efOs35p4524IkGS+PjfD3HK1GZUFkABeOJtBWAAJEplAbr7TpLr6jHWBQVgACWZCw8b+BWEBICo0OAFEhbAAEBXCAkBUCAsAUSEsAESFsAAQFcICQFQICwBRkP4fJ0hriRQ+VrEAAAAASUVORK5CYII="></p>
<p>What is correct about the speeds of light in the media?</p>
<p><br>A. <em>v</em><sub>3</sub> < <em>v</em><sub>1</sub> < <em>v</em><sub>2</sub></p>
<p>B. <em>v</em><sub>3</sub> < <em>v</em><sub>2</sub> < <em>v</em><sub>1</sub></p>
<p>C. <em>v</em><sub>2</sub> < <em>v</em><sub>3</sub> < <em>v</em><sub>1</sub></p>
<p>D. <em>v</em><sub>2</sub> < <em>v</em><sub>1</sub> < <em>v</em><sub>3</sub></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>An object moves with simple harmonic motion. The acceleration of the object is</p>
<p>A. constant.</p>
<p>B. always directed away from the centre of the oscillation.</p>
<p>C. a maximum at the centre of the oscillation.</p>
<p>D. a maximum at the extremes of the oscillation.</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Which graph shows the variation with time <em>t</em> of the kinetic energy (KE) of an object undergoing simple harmonic motion (shm) of period T?</p>
<p style="text-align:center;"><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A travelling wave has a frequency of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>500</mn><mo> </mo><mi>Hz</mi></math>. The closest distance between two points on the wave that have a phase difference of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>60</mn><mo>°</mo><mfenced><mrow><mfrac><mi mathvariant="normal">π</mi><mn>3</mn></mfrac><mi>rad</mi></mrow></mfenced></math> is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>050</mn><mo> </mo><mi mathvariant="normal">m</mi></math>. What is the speed of the wave?</p>
<p>A. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>25</mn><mo> </mo><mi mathvariant="normal">m</mi><mo> </mo><msup><mi mathvariant="normal">s</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></p>
<p>B. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>75</mn><mo> </mo><mi mathvariant="normal">m</mi><mo> </mo><msup><mi mathvariant="normal">s</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></p>
<p>C. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>150</mn><mo> </mo><mi mathvariant="normal">m</mi><mo> </mo><msup><mi mathvariant="normal">s</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></p>
<p>D. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>300</mn><mo> </mo><mi mathvariant="normal">m</mi><mo> </mo><msup><mi mathvariant="normal">s</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup></math></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A first-harmonic standing wave is formed on a vertical string of length 3.0 m using a vibration generator. The boundary conditions for this string are that it is fixed at one boundary and free at the other boundary.</p>
<p> <img src="images/Schermafbeelding_2018-08-10_om_16.36.00.png" alt="M18/4/PHYSI/SPM/ENG/TZ1/13"></p>
<p>The generator vibrates at a frequency of 300 Hz.</p>
<p>What is the speed of the wave on the string?</p>
<p>A. 0.90 km s<sup>–1</sup></p>
<p>B. 1.2 km s<sup>–1</sup></p>
<p>C. 1.8 km s<sup>–1</sup></p>
<p>D. 3.6 km s<sup>–1</sup> </p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p><span style="background-color:#ffffff;">Unpolarized light is incident on two polarizers. The axes of polarization of both polarizers are initially parallel. The second polarizer is then rotated through 360° as shown.</span></p>
<p><span style="background-color:#ffffff;"><img 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"></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">Which graph shows the variation of intensity with angle<em> θ</em> for the light leaving the second polarizer?</span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;"><img 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"></span></span></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A particle oscillates with simple harmonic motion (shm) of period <em>T</em>. Which graph shows the variation with time of the kinetic energy of the particle?</p>
<p><img 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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A pipe of fixed length is closed at one end. What is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{\text{third harmonic frequency of pipe}}}}{{{\text{first harmonic frequency of pipe}}}}">
<mfrac>
<mrow>
<mrow>
<mtext>third harmonic frequency of pipe</mtext>
</mrow>
</mrow>
<mrow>
<mrow>
<mtext>first harmonic frequency of pipe</mtext>
</mrow>
</mrow>
</mfrac>
</math></span>?</p>
<p>A. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{5}">
<mfrac>
<mn>1</mn>
<mn>5</mn>
</mfrac>
</math></span></p>
<p>B. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{3}">
<mfrac>
<mn>1</mn>
<mn>3</mn>
</mfrac>
</math></span></p>
<p>C. 3</p>
<p>D. 5</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A pair of slits in a double slit experiment are illuminated with monochromatic light of wavelength 480 nm. The slits are separated by 1.0 mm. What is the separation of the fringes when observed at a distance of 2.0 m from the slits?</p>
<p>A. 2.4 × 10<sup>–4</sup> mm</p>
<p>B. 9.6 × 10<sup>–4</sup> mm</p>
<p>C. 2.4 × 10<sup>–1</sup> mm</p>
<p>D. 9.6 × 10<sup>–1</sup> mm</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The frequency of the first harmonic in a pipe is measured. An adjustment is then made which causes the speed of sound in the pipe to increase. What is true for the frequency and the wavelength of the first harmonic when the speed of sound has increased?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p style="text-align:left;">Which of these waves cannot be polarized?</p>
<p style="text-align:left;">A. microwaves</p>
<p style="text-align:left;">B. ultrasound</p>
<p style="text-align:left;">C. ultraviolet</p>
<p style="text-align:left;">D. X rays</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>This question was very well answered by candidates, with a high difficulty index.</p>
</div>
<br><hr><br><div class="question">
<p>A travelling wave on the surface of a lake has wavelength <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>λ</mi></math>. Two points along the wave oscillate with the phase difference of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">π</mi></math>. What is the smallest possible distance between these two points?</p>
<p><br>A. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>λ</mi><mn>4</mn></mfrac></math></p>
<p>B. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>λ</mi><mn>2</mn></mfrac></math></p>
<p>C. <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>λ</mi></math></p>
<p>D. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mi>λ</mi></math></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p><span style="background-color:#ffffff;">The orbital radius of the Earth around the Sun is 1.5 times that of Venus. What is the intensity of solar radiation at the orbital radius of Venus?<br></span></p>
<p><span style="background-color:#ffffff;">A. 0.6 kW m<sup>-2</sup><br></span></p>
<p><span style="background-color:#ffffff;">B. 0.9 kW m<sup>-2</sup><br></span></p>
<p><span style="background-color:#ffffff;">C. 2 kW m<sup>-2</sup><br></span></p>
<p><span style="background-color:#ffffff;">D. 3 kW m<sup>-2</sup></span></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>This had a low discrimination index at both SL and HL and although the correct answer was the most popular, all options gained high support. Candidates should be reminded that they have a data booklet and become familiar with its contents before the exam.</p>
</div>
<br><hr><br><div class="question">
<p>A sound wave has a wavelength of 0.20 m. What is the phase difference between two points along the wave which are 0.85 m apart?</p>
<p>A. zero</p>
<p>B. 45°</p>
<p>C. 90°</p>
<p>D. 180°</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A particle performs simple harmonic motion (shm). What is the phase difference between the displacement and the acceleration of the particle?</p>
<p>A. 0</p>
<p>B. <span style="background-color:#ffffff;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{\pi }{2}">
<mfrac>
<mi>π</mi>
<mn>2</mn>
</mfrac>
</math></span></span></p>
<p><span style="background-color:#ffffff;">C. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\pi ">
<mi>π</mi>
</math></span></span></p>
<p><span style="background-color:#ffffff;">D. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{3\pi }}{2}">
<mfrac>
<mrow>
<mn>3</mn>
<mi>π</mi>
</mrow>
<mn>2</mn>
</mfrac>
</math></span></span></p>
<p> </p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A particle undergoes simple harmonic motion (SHM). The graph shows the variation of velocity <em>v</em> of the particle with time <em>t</em>.</p>
<p><img src="data:image/png;base64,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"></p>
<p>What is the variation with time of the acceleration <em>a</em> of the particle?</p>
<p><img 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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The refractive index of glass is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>3</mn><mn>2</mn></mfrac></math> and the refractive index of water is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>4</mn><mn>3</mn></mfrac></math>. What is the critical angle for light travelling from glass to water?</p>
<p>A. <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>sin</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mfenced><mfrac><mn>1</mn><mn>2</mn></mfrac></mfenced></math><br><br>B. <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>sin</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mfenced><mfrac><mn>2</mn><mn>3</mn></mfrac></mfenced></math><br><br>C. <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>sin</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mfenced><mfrac><mn>3</mn><mn>4</mn></mfrac></mfenced></math><br><br>D. <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>sin</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mfenced><mfrac><mn>8</mn><mn>9</mn></mfrac></mfenced></math></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p><span style="background-color: #ffffff;">The motion of an object is described by the equation</span></p>
<p style="text-align: center;"><span style="background-color: #ffffff;">acceleration ∝ − displacement.</span></p>
<p><span style="background-color: #ffffff;">What is the direction of the acceleration relative to that of the displacement and what is the displacement when the speed is a maximum?</span></p>
<p><img 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nOm+Rjr1TiFN4nzMdxOzkCyoQcljJ2O8RWFj+mbz3NvUOd4BCx1zjx+UwN3JOqNAZldtsNvEudt/r6QIwsj6w3V7JvutNiOnbdi2JV79uNCpZmKLzgfR+aVY6zEijtivhIpefs12xDr0g3DykFSp2a7kkeuicJ2kfPuIQfVk2tEdROPId2oGRyudXUMvxlh9IomwbWpz+R8zhfzh3FVDyjP3hTC56urQ37FEA/MuR3NKesh7hp/9wpun7eclwTZ4C6JC4MQuFxR64QVRyD6jbuc6Fzno6ZS1EsbQwpnExplozS2rYtbEjj94sxsJJYVWMFGYQToFLtdHDoevsKoIjMXPZPANmKLolXc2l8+x9hOO2p39Kmm4d5TmLwElZ98zuTLd5Z5vPgYbifzTb1VQeEdvjdTrQkZzTvEGDsnGjNdJGCpfWCC63j5SlhZZd/yOVOkKvx3fNNiJg12cjXmRlG9LZG6+qy63zST12XyhokSnBR2Cqt//SMd8JVhyQMK5qLOkYphRy2X4W118Enekpf1fsy/vaIAj8x59/BD6knbqKx15pGdE2tAkBjgGmX+MD5WHet+wuKhi627rWzr81yBM3aKcZt+ooqfOu4GPkhcgMDlyJUljROtOx8e2Y9pMgtpvvqm3+3GCdRJFgXOCIk/+R+0mL0gLaqqlnhElfMp6yByBLeqwi1Ai9zsW3o0Fz2TwLKhPnLMuXbcc0zhms47e72PI/zp64AUOZl8hhCqOR1r7kqQfWMyZ4KpXnGU8+88BM7gX4JbIW9OPnZsSqTecWr9r7nTtQZ0++S1VwKXRK3uS3/MD5g8ntJ2YdnNefcMXdOaQ8wfS2gKfNhV6yxw5gpS5Z6vwlIfmGPMn5J2db1ZPMxxKjZ9gO73rH6B95XYKcZt6t1wwEWruW2JC8MTOF1g1lScizUnnpPK2zzVUphicztsZdAkOScG3L7/E41+sqYr1Sm6HX4ruOtYybYuOL6Cs+2UTVFWEFrbMbiYNzYzcapisvzSdphITD5rilK/WZmJz8dwO7zNI9UnWs/fpFfN3HkUsOKOwqME73/NaZJM81RjWSRmScfA+SpcUVTZNRgZcpt9uhY0TlbeLBh3fZRIvevcg77X/u6R10KO3JZNnvW0uHuIbleqy8JJegCq8XYP0VeBXIPOAdp3nqp+pPlttjBD30PPn3NQPen6Empd9SY8bTl6ScHITxa83ISfKxZpldSxxpHzZ/cT2ayNPob7CIt33BfqY4ydYtym3g0H8lg1uSVxYYACZxWLe6XEb/rl4uak6m1ruuWnEY18ixy5Y1Ty3UUmnFKT/Pzr5NX3+VGaSlz6377pznb4L3cS6bFpQfHok8/nvzxvzufaf22/+Hj+y8JjHZO78uLjrL+MpSaw9Z2Oi4nEMXA7vG2f84xGoyvrvkRVjGxzN5ZFYpZ0DNp/JvQuuwYjQ26zz3S4+RjNsXZOqj9LpK4+q+43ed9MHfKLeu0rcztH/HmPHHDHrWsis6Hrx8LOPUa/wdqNyzonqVNru2CDfXVs5Pic+eRy3jnlsHoqw9qpdf12+9RXLXY84NY1yvwpqeMSYTIDar4tUeYL5xRTlE66m9/cj9SmqIudh7s02Xk7ty5uHl2r40N9H8gP3tHi8X+n9w80ETe0nN2QnxBIFeL/qx5F6mJj+zZW9pJoVVxly6bt481CFCWYo+mCtsnXx/5MIMVk588E3LePKx8mv5b+TGAS/qGXJ+98O7e1lDld3vxPWiZTulaH5C5lV/dVcm9sl7E8rENS4Ep2y+rO7DMCV5U3O7fVn/fjQrWdym8ayauyLmGlvt/BxcRB20ZZXbpRlOHt8sF9Q3zRxm7O5885uJ7EWv+c9Ss2t80gK52qZGE6VuDUG9D/pDu1iEX1Y+pnBX890Hu1MI4H+7rv4gGfNXvFsyvW7FWx781j1sSWxIULvoJrAjrYOB4BJp8hxPE2YUEidTvoIK/t4IxWdiEgcQECtws9fH8kAugIjwSw9HSJ1KUnNL4TeW0cUhg8CAGJCxC4gyDFSfURQEdYH6v6R0qkrm/lmCOR12PQw7nNISBxAQLXHM6wBARaQ0AidWtOoCEg0AMEJC5A4HqQILgABPZFQCL1vrZwPBA4ZwQkLpydwKlg8B8YoAZQA6gB1ADXQJVAn53AVQWC/UBgSAgoYuMfEAAClFzwVOFwViwBqavSiP1DQwBcGFrGEW8VAhIXIHBVqGE/EOgxAhKpe+w2XAMCjSMgcQEC1zjcMAgETo+AROrTt44WgEB/EJC4AIHrT57gCRCojYBE6tpGcCAQuAAEJC5A4C4gwQhheAhIpB4eGoh4yAhIXIDADbkyEPvZIiCR+myDguNA4AAEJC5A4A4AFKcAga4RkEjdtW9oHwi0iYDEBQhcm5lAW0CgIQQkUjfUBMwAgbNAQOICBO4sUggngUAeAYnU+SOxBQQuGwGJCxC4y849ortQBCRSX2jICAsIlCIgcQECVwoZdgKBfiMgkbrfnsM7INAsAhIXIHDNYg1rQKAVBCRSt+IAGgECPUFA4oIscPGSZmOfPO8ZTeZfOw9HCqRz5+AAEGgRAXChRbDRVK8RkLggCly8mtHYe0aj0RX5kzltOg5TCqRj19A8EGgVAXChVbjRWI8RkLggCNx3Ws1ekDf+NwrfvyDPf0Xh41OnYUqBdOoYGgcCLSMALrQMOJrrLQISF6oFbjOnie/TaLqgTXIl59N4tqS4wzClQDp060yajmm7+p2mwbV+Yawf3NHDiq/Ln2gdhbnvPW9Mk/sFrZOkf6EwuCI/eEvvJ+PMxjUFd3OK/npHgZ+9fHF0S6G2SRSvIwqnAfn8otrRhO6jdad1dCYJE90EF0R49vzykNqW+RI/hnTje+TfhPSY8OeJHsNX5HvPaRp929M/HC4hIHGhQuBi2sxvyfde0Gz1nSj+TOHNNXnjGa06VDgpEAkAfEdEPGC5fUgFa/uJZkrsspym09HXFMw+0VYBFq9pcaeEie+/pp1AInrhkra0oeXsJhWu0Ruar5+Itguajnxtk7f94J6WW1U4fA5IfmxNggvHImifv39t7+YLC9o13YT/pE10RyMvvWBI+GU3j89HISBxoULgvtJ88sx0VOQI3lHuHH6yFMjhVgdy5jqkYE+CpSS+oiD8QkRZJ2ANcvLfKxy3FE1H5F1NKfpRUTPZwqU+3NM958yDC01mb9/aLm+7wAe+MBi9pEAN/EZ3FCUDvfLzsfcwBCQulAtcNtrPTUmW7TvMn4PPkgI52OhgTuSrJzWVeE3B9DcKP0bZ9GMGQrym6GNIYRhSOJvQKJlWdAQuCGnNmCWiOaJpxGNSW+Cye7g8Nen+te2wPfytjQC4UBuqGgdmAmfXpFjbmUmRL+kxPFXpYWqyRh4OO0TiQonA8aV1dk/F7Zj8W5pvupmnlAI5DJoBnrVd0TwM6QPfF8umF+P1A90mo8wJzZTAhX/QMnpPY+9IgeuwXi45u+BCk9ndX+B280X5F9M2mZpMB5U34Wfce24ybZktiQtFgePfvllTUakdnnLiezIn8HSHSSmQHafi6xIEzJTKKl0xmxMjzvehAsfnd1cvJSFfzC5woclU7itw2eyEyBc1Y5/ek/Zv/p0+vH3ei5XoTaLWF1sSFwoCl3Z6FZ1SMk3pdfabOCmQvoDdVz/SqZJrCu7+zKYlecpSLST6O1tUNKbb+SPFauS5CmmirugOvoIzBPd4EQo90XqhVlx2vyK3r3mq6xe4UBepOsftK3A8eJP48o2iqSVqWux4VWUdv3BMHQQkLjgCVzYysZtwvk/mqT26mkb0wz7sRJ+lQE7U5AWZVcuaf81Ei5f0W0v29apJ893swzRZ/p8uCNm3E0ihi9cLutc/K/DI8wOahs69vwtCua1QwIUmkT6gtkW+PNBjMjWpVlDytCRPV9r7moxhuLYkLjgC12+QpED67Tm8AwLNIgAuNIsnrJ0vAhIXIHDnm1d4PmAEJFIPGBaEPkAEJC5A4AZYEAj5/BGQSH3+0SECIFAfAYkLELj6OOJIINAbBCRS98ZJOAIEWkBA4gIEroUEoAkg0DQCEqmbbgv2gECfEZC4AIHrc+bgGxCoQEAidcUp2A0ELhIBiQsQuItMOYK6dAQkUl967IgPCNgISFyAwNlI4TMQOBMEJFKfSQhwEwg0goDEBQhcIxDDCBBoFwGJ1O16gtaAQLcISFyAwHWbG7QOBA5CQCL1QQZxEhA4UwQkLkDgzjSpcHvYCEikHjYyiH5oCEhcgMANrRoQ70UgIJH6IgJEEECgJgISFyBwNUHEYUCgTwhIpO6Tn/AFCJwaAYkLELhTow/7QOAECEikPkFzMAkEeouAxIWzEzgVDP4DA9QAagA1gBrgGqhS37MTuKpAsB8IDAkBRWz8AwJAgJILnioczoolIHVVGrF/aAiAC0PLOOKtQkDiAgSuCjXsBwI9RkAidY/dhmtAoHEEJC5A4BqHGwaBwOkRkEh9+tbRAhDoDwISFyBw/ckTPAECtRGQSF3bCA4EAheAgMQFCNwFJBghDA8BidTDQwMRDxkBiQsQuCFXBmI/WwQkUp9tUHAcCByAgMQFCNwBgOIUINA1AhKpu/YN7QOBNhGQuACBazMTaAsINISAROqGmoAZIHAWCEhcgMCdRQrhJBDIIyCROn8ktoDAZSMgcQECd9m5R3QXioBE6gsNGWEBgVIEJC5A4Eohw04g0G8EJFL323N4BwSaRUDiAgSuWaxhDQi0goBE6lYcQCNAoCcISFwoEbgtRdNRyRP7rymYhhStnzoLSwqkM6fQMBDoAAFwoQPQ0WQvEZC4UC1wV1OKfph44vUD3Y588m9CeozN/jY/SYG06QfaAgJdIwAudJ0BtN8XBCQu1BY4ou+0mr0gz/uFwrWlfC1GKQXSohtoCgh0jgC40HkK4EBPEJC4sL/A+bc033RzCScF0hOse+xGTNvV7zQNrvX0sx/c0cNqk/n8ROsozH3veWOa3C9onaT7C4XBFfnBW3o/GWc2rim4m1P01zsK/Ozli6NbCrVNongdUTgNyOcX1Y4mdB+tqZsK6nF69nQNXNgTsMrDf9A6/EVzQuFq/vNg3uWGT6PJr+Z2zTqkwLuml8HPWZ2/oNnqO8XrBd1rrnjkB1MKUfuVmTj0C4kLtQUunaJ8Trfzx846JymQQ8EZzHmbOU18n0a3D6lgbT/RTIndeEarmChezWjsXVMw+0RbBUq8psWdEqZnNJl/JaJU4BLRC5e0pQ0tZzcpoUdvaK7uzW4XNB352iZv+8E9LbdK0vic5zSNvg0G+lMECi6cAtWk8Gm7vKfAZy7EtI3uaGRzg7kzuqNI1XUicB55yfZ3Wv/HJ1pvUi74wTtaKG5oPqH2m86cxIVqgcuNZHhUw0lv2sV69qRA6lkY8FEJCX0aTRepgNWAIhW9KwrCL0bgMkFUp+e/V3uyBUrJ/duYNvNb8r10NKubi5c0G/vkT+bE1476O3yojQC4UBuqvQ6MH0O6sQeC9JXmk2dm0JZZS2s/G/xl3BrPltngH7W/F+hHHixxoVrgnEUmtF1SmFxu84j+SK8OOF0K5ABzAzuFr57UYEWtiP2Nwo9RNv2YQRGvKfoYUhiGFM4mNEoGOY7ABSGtGbmE2COaRsk1nyNwfM+WB0fOX9sO28Pf2giAC7Whqn9gNgNhZhzUKC4dkCm8i/8zbiQ8YJ6o5uyBnt18uVjaR+Dz/ghIXKgvcKrdZJrLo6tpRF0sM5EC2R+WgZ6xXdE8DOkD3xfLphd5law3mtBMCVz4By2j9zT2mLjZFKUtTHUErsN7tpecYXCh4ezGnym8uSaPp9vZfJ0Zh9oCl3HImgXhZvD3cAQkLhwgcD6ZS/HDnTrkTCmQQ+wN/RwzxbhKV8jmxIinWQ4VOD6/uyv+S84vuNBkdr9RNH1Onn9Ds6U7cZ5ddeW44bRdEDiufUzPO0idZFPiQn2Bix9pfjsmz39F4WM3P/aWAjkJchdkNL23oFY9/plNS0G5nWcAABGHSURBVPKUpSLh39n9snG2iEituAxpohaMHHwFp2ZqskUnelT8ROuFWnHZ3SDpUlIKLjSVySd6DF+R73Htu3Z5kYm1QEsvGMkErCBwpvaxyMTFs/ltiQvVAleYc1ZLY2c0t5aA8+qhtqYspUCah+3SLKqlzr9mopXdT7CX7GvSmu9mH6bJ8v90Qci+U5Qpfu5Sac8PaBo69/4uDeoW4gEXGgL5R0TTq7L7a2of318ucie35L9M4JKFyPiZQENZEs1IXCgRONFWp19KgXTqGBoHAi0jAC60DDia6y0CEhcgcL1NGxwDAtUISKSuPgvfAIHLQ0DiAgTu8vKNiAaAgETqAYSPEIGARkDiAgROw4QPQOB8EJBIfT5RwFMgcDwCEhcgcMfjCwtAoHUEJFK37gwaBAIdIiBxAQLXYWLQNBA4FAGJ1IfaxHlA4BwRkLgAgTvHjMLnwSMgkXrw4ACAQSEgcQECN6hSQLCXgoBE6kuJEXEAgToISFyAwNVBEMcAgZ4hIJG6Z67CHSBwUgQkLkDgTgo9jAOB0yAgkfo0LcIqEOgnAhIXIHD9zBm8AgIiAhKpxRPxJRC4MAQkLkDgLizZCGcYCEikHgYCiBIIpAhIXIDAoUqAwBkiIJH6DMOBy0DgYAQkLkDgDoYVJwKB7hCQSN2dV2gZCLSPgMSFsxM4FQz+AwPUAGoANYAa4BqoktWzE7iqQLAfCAwJAUVs/AMCQICSC54qHM6KJSB1VRqxf2gIgAtDyzjirUJA4gIErgo17AcCPUZAInWP3YZrQKBxBCQuQOAahxsGgcDpEZBIffrW0QIQ6A8CEhcgcP3JEzwBArURkEhd2wgOBAIXgIDEBQjcBSQYIQwPAYnUw0MDEQ8ZAYkLELghVwZiP1sEJFKfbVBwHAgcgIDEBQjcAYDiFCDQNQISqbv2De0DgTYRkLgAgWszE2gLCDSEgETqhpqAGSBwFghIXIDAnUUK4SQQyCMgkTp/JLaAwGUjIHEBAnfZuUd0F4qAROoLDRlhAYFSBCQuQOBKIcNOINBvBCRS99tzeAcEmkVA4gIErlmsYQ0ItIKAROpWHEAjQKAnCEhcEARuQ6v5f6dpcG2e3u8HNA0jWsfdRCYF0o1HaLUeAl8oDK7IC0JaJyc80TqaU7R+qnc6jiogAC4UIMGOgSIgcaFC4L5RNH1OnhK0hxVtE+A2tHq4o8D3aTRdZPvaRVQKpF1P0NoxCPyIpnTljWgapZV1jK2hngsuDDXziNtFQOJCicDFtI3uaOQ9p2n0zbH1RI/hK/K9FzRbfXe+O/2mFMjpW0cLTSEAgTseSXDheAxh4TIQkLhQInBfaT55Rt54Rquyqcjt/6FotekEGSmQThzqS6PxmqL7CY34ZbC5qeQftA5/Sa7G374NyE+O8Wk0+dVMEa5DCrxrCt6+ocDPXqI4mtB9tCZdAmIbCgi+wueXMF5TMP2dVltlwUxRfkmu3vgYj66mEf0gongdUThl/zzy3Pb7gnVP/AAXmkxEWp9+8JbeT8bZLZlrCu7mFP31zuLELYW671PT7GH+Fo43psn9IrmFEz+GdON75N+E9JiQiC8Oyi4cmoxleLYkLhQF7kdE0yvT8fQJLimQPvnZri9mOvluoQTpidYLRUqeSs4EzvPID97RQt332n6imbq3yoOYROC8RARTGxtazm6sK/VdbcS0md+S743pdv5IMcW0Xd4nPoxnS4otgVP34ApXcNsFTUc++cE9LRNB5PbRGVTVErhQhcwh+7MBmBKocElb4vpTA603NE84k9YocyZezWisBoWzT+ntmnhNizs1QHtGk/lXImJBu6ab8J+0SWbFmJOH+IhzqhCQuACBq0LtXPZv5jTxfUqFhJ3+TqvZC/L8W5pvntIrOGfKOSVoRsZE4BzyxUuajX3yJ3PaHNgGe2NfwRUFjsXRmfa22zeG8ClDQCI1QNoXgUzgeMCnZhQSAbuiIPySGdtSNB2RdzWlSE05lPwrnBN/pvDmmrzRSwpGPnmjO4qSAVzJydh1MAISF4oCl3UsPHV0cKsnOFEK5ATNnYXJwtVQ4rUtGttM4H6hcG0xMxG1jMD2Zx11RvogpHRa0V0UYrfx3VwVqilQNUX6IaSPeorT2CoKXCbGPL3q/tUrL7Vj+ECUTKMBiKYQyNdnYjXhhF3zJQKnpu0/hhSGIYUzvkVgiyIRT1V6zgCzKc9hR+ZCUeBoxz24HxHd/TKlUHde7UEMgStiXS5wPC2propOJXB2G7zgKKbt6g8Kw9+yexM+jW4faB3nO5C8z/bVpr7jVwwUe3IIgAs5OI7cyNdnYmyHwMXrB7pNrsomNFMCF/5By+g9jT1b4HjBnrrnrKYqP5t72kd6jNMNAhIXSgSOk1J2/4NH7TzPbBpp45MUSBvt97KN2tOH+SnAdDol25eQ2ZnmTK7kr9Kpz51tlAkTX5mpK8d/5n4Hlxe4bmuqlzmt4RS4UAOk2ofsK3BlgzKuY0vg+N7yzb/Th7fqZ1evKHzEbz9rp6XmgRIXSgROWTWLCkp/B5eMymu23uBhUiANNnNmpkyudi8ySRdxxOs/6S64Niu8EoFTU4s3NFtu1JLG9Ia5JuSuNrIb6n5AqQ9kpiyT+xpOB5K0Zw2Sso5A39C3Fsrk7y2eWWpO6C640CS4Tn0q0+IVHIuZtahqFdJEXdHpKzjmTCZqWux4VWWT/g/blsSFCoFTgKknmcyypGXLunPLz9UxPE1lz1WfDmwpkNO1egaWxSX8nKMxvZ68zH4mYC/hZzL7NHr9Wi+J9oM7etBLopN1/MJPEUq+9+yfIjgdSPxI89tsOXZ2jy1eL+heL9HO7uN1+NScvmcdXGgyQ059KtOiwKX1nq6azPrG0YRmH6YJf/zJAz0mqybtaUmeGbP3NRnDcG1JXBAErn+ASYH0z9u+eMQC5ywysd1LyGxNrdjf4XMvEQAXepkWONUBAhIXIHAdJKTdJiFw7eLdTmsSqdvxAK0AgX4gIHEBAtePHJ3QCwjcCcHtzLRE6s6cQsNAoAMEJC5A4DpICJoEAsciIJH6WNs4HwicEwISFyBw55RJ+AoEMgQkUgMkIDAkBCQuQOCGVAmI9WIQkEh9MUEiECBQAwGJCxC4GgDiECDQNwQkUvfNV/gDBE6JgMQFCNwpkYdtIHAiBCRSn6hJmAUCvURA4gIErpcpg1NAQEZAIrV8Jr4FApeFgMQFCNxl5RrRDAQBidQDgQBhAoEEAYkLEDgUCRA4QwQkUp9hOHAZCByMgMQFCNzBsOJEINAdAhKpu/MKLQOB9hGQuACBaz8faBEIHI2AROqjjcMAEDgjBCQuQODOKJFwFQgwAhKp+Rj8BQJDQEDiwtkJnAoG/4EBagA1gBpADXANVAn52QlcVSDYDwSGhIAiNv4BASBAyQVPFQ5nxRKQuiqN2D80BMCFoWUc8VYhIHEBAleFGvYDgR4jIJG6x27DNSDQOAISFyBwjcMNg0Dg9AhIpD5962gBCPQHAYkLELj+5AmeAIHaCEikrm0EBwKBC0BA4gIE7gISjBCGh4BE6uGhgYiHjIDEBQjckCsDsZ8tAhKpzzYoOA4EDkBA4gIE7gBAcQoQ6BoBidRd+4b2gUCbCEhcgMC1mQm0BQQaQkAidUNNwAwQOAsEJC5A4M4ihXASCOQRkEidPxJbQOCyEZC4AIG77NwjugtFQCL1hYaMsIBAKQISFyBwpZBhJxDoNwISqfvtObwDAs0iIHEBAtcs1rAGBFpBQCJ1Kw6gESDQEwQkLpQI3Jai6ajkif0+jSYzmq82nYUlBdKZU2i4BgJfKAyuyAtCWidHP9E6mlO0fqpxLg4pQwBcKEMF+4aIgMSFaoG7mlL0w4Jru6KHaUC+95ym0Tfri/Y+SoG05wVaOhaBH9GUrrwRTaPtsaYGez64MNjUI3AHAYkL9QVOGY0/U3hzTd54RqvYaaWFTSmQFppHEw0hAIE7Hkhw4XgMYeEyEJC4sJ/AUUyb+S353guarb63jo4USOvO9KnBeE3R/YRG/DJYP6BpGNE6GYT8oHX4C3l+QG/fqitw9ZJENd38q5kiXIcUeNcUvH1DgZ+9RHE0oftoTXocI7ahwNjQ6uHOnK/sTX+n1VZZMFOUX5KrN/OixqtpRGqiIF5HFCYzBBXt9wnvHvgCLjSVhIwfzJ3c318oXKvqVFPqIU2D6+zWTTl/XgY/Z/xK+8d4vaD7yVjf7vGDKYU2p5oKYeB2JC7sKXBE8WpGY+8ZTeZfW4dVCqR1Z3rT4DeKps8TAbtbKEF6ovXiHQW+T6PpgrZkCOwH72ih7nttP9FMkZWvxBOB8ywbG1rObqyBzK42eOAzptv5I8UU03Z5n/gwni0ptgRO3YMrXMFtFzQd+eQH97RMBJHb7246vDfprXAEXKgA5ujdXLvXFMw+0VbVcnRHIzVgS7bJ8Gd0R5GqV+ZPsv2d1v/xidYbrumMc/GaFnfd3uI5GpqeGpC4sLfApcm8oiD80nq4UiCtO9OXBjdzmvg+pULCTn2n1ewFef4tzTdP6RWcc+80N1BJCMqCmNmIlzQb++RP5rQ5sA32xr6CKwoci6MzK2C3bwzhU4YAuHCaUogfQ7pRg8Pbh2wG5CvNJ8/MYDBrtow/hoOo6dNkp9yqxIW9BS6X2PL2TrZXCuRkjfbccOFqKPHXJtg2EziebskCSkQtG6jYn3W87rSiuyjEbuO7GdWqKR41RfohpI96OsbYKgpcJsa5qSEzhWlWXmrH8IEomfYCEA0jUJhJUHPn6UBP9T3F/1X8yVaiuwv1qFwsG45icOYkXdhT4JxOrWUopUBadqU3zZULHE9LqquiUwmc3Qbfj41pu/qDwvC37H4Fj4RrCFxytanv+PUG3746Ai40nBleQDd6Q3P75yt1ZhIKA8Qqgct4wLcGGg5hqOYkLuwncFwEHSVICmSoyaXa04f5KcD0Sjzbl01RmikWHrlepVOfO9soEya+MlNXjv/M/Q4uL8o8aOrmvu651g240GTm+B7zDc2W7u98s6suaQBWEDiu6Tzn+GowmfZv0v2B25K4UF/g+HdwflkRtIOwFEg7HvSxFSZnQLsXmaSLOOL1n3QXXJN/E9Kj0qaEoGpqMcst3xD3X1H4qH6MvauNJ3oMX5Hvsw/WjfhkMJS/gkvbswQtmxry9OjZLJTJiW4f4e/IJ3ChKeCz2vV4gZRrlxeZ8GxEsuQ3WzBiDxCddQl6uhOLTFxEm96WuFAtcIU557InmfA0lXt/pukQUntSIKdp8Uysikv4OUdjej15mS1jtpfws8D5NHr9Wi/z94M7erCfWiO2kZI+91OF3E8RHIGLH2l+my2fzp5u4i6pTu7j6Z86nEkeWnQTXGgI7B8RTa/K7q+pfdyvqZ8J/EqTka/vw+WW/Beu4FLf3JrOndOQ+zAj348uEbj+QgZSH5IbFjhnkYltqoKg9iH43C8EwIV+5QPedIeAxAUIXHd5aallCFxLQLfajETqVh1BY0CgYwQkLkDgOk7O6ZuHwJ0e4/ZbkEjdvjdoEQh0h4DEBQhcd3lBy0DgYAQkUh9sFCcCgTNEQOICBO4MEwqXgYBEaqADBIaEgMQFCNyQKgGxXgwCEqkvJkgEAgRqICBxAQJXA0AcAgT6hoBE6r75Cn+AwCkRkLgAgTsl8rANBE6EgETqEzUJs0CglwhIXIDA9TJlcAoIyAhIpJbPxLdA4LIQkLgAgbusXCOagSAgkXogECBMIJAgIHEBAociAQJniIBE6jMMBy4DgYMRkLgAgTsYVpwIBLpDQCJ1d16hZSDQPgISFyBw7ecDLQKBoxGQSH20cRgAAmeEgMQFCNwZJRKuAgFGQCI1H4O/QGAICEhcODuBU8HgPzBADaAGUAOoAa6BKiE/K4GrCgL7gQAQAAJAAAi4CEDgXESwDQSAABAAAheBAATuItKIIIAAEAACQMBFAALnIoJtIAAEgAAQuAgEIHAXkUYEAQSAABAAAi4C/x/THFgA9wQeoAAAAABJRU5ErkJggg=="></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What is true about the acceleration of a particle that is oscillating with simple harmonic motion (SHM)?</p>
<p>A. It is in the opposite direction to its velocity</p>
<p>B. It is decreasing when the potential energy is increasing</p>
<p>C. It is proportional to the frequency of the oscillation</p>
<p>D. It is at a minimum when the velocity is at a maximum</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Three statements about electromagnetic waves are:</p>
<p style="padding-left:60px;">I. They can be polarized.<br>II. They can be produced by accelerating electric charges.<br>III. They must travel at the same velocity in all media.</p>
<p>Which combination of statements is true?</p>
<p>A. I and II only</p>
<p>B. I and III only</p>
<p>C. II and III only</p>
<p>D. I, II and III</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p style="text-align:left;">What are the changes in speed, frequency and wavelength of light as it travels from a material of low refractive index to a material of high refractive index?</p>
<p style="text-align:left;"><img 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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>This question was well answered by the majority of candidates.</p>
</div>
<br><hr><br><div class="question">
<p>An interference pattern with minima of zero intensity is observed between light waves. What must be true about the frequency and amplitude of the light waves?</p>
<p><img 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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>This question was generally well answered by SL candidates with both a high difficulty and discrimination index. Candidates who selected an incorrect answer seems more certain about the correct amplitude than the resulting intensity.</p>
</div>
<br><hr><br><div class="question">
<p>Unpolarized light of intensity <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>I</mi><mn>1</mn></msub></math> is incident on a polarizer. The light that passes through this polarizer then passes through a second polarizer.</p>
<p> <img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>The second polarizer can be rotated to vary the intensity of the emergent light. What is the maximum value of the intensity emerging from the second polarizer?</p>
<p>A. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msub><mi>I</mi><mn>1</mn></msub><mn>4</mn></mfrac></math></p>
<p>B. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msub><mi>I</mi><mn>1</mn></msub><mn>2</mn></mfrac></math></p>
<p>C. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><msub><mi>I</mi><mn>1</mn></msub></mrow><mn>3</mn></mfrac></math></p>
<p>D. <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>I</mi><mn>1</mn></msub></math></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p><span style="background-color:#ffffff;">Monochromatic light travelling upwards in glass is incident on a boundary with air. The path of the refracted light is shown.</span></p>
<p><span style="background-color:#ffffff;"><img src="data:image/png;base64,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"></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">A layer of liquid is then placed on the glass without changing the angle of incidence on the glass. The refractive index of the glass is greater than the refractive index of the liquid and the refractive index of the liquid is greater than that of air.</span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">What is the path of the refracted light when the liquid is placed on the glass?</span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;"><img src="data:image/png;base64,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"></span></span></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>A low discrimination index with most candidates choosing C. They have deduced, correctly, that the ray moves away from the normal on entering the denser medium but have apparently forgotten that the stem of the question has shown them that it reaches the glass-air boundary at an angle greater than the critical angle.</p>
</div>
<br><hr><br><div class="question">
<p>A student stands a distance <em>L </em>from a wall and claps her hands. Immediately on hearing the reflection from the wall she claps her hands again. She continues to do this, so that successive claps and the sound of reflected claps coincide. The frequency at which she claps her hands is <em>f</em>. What is the speed of sound in air?</p>
<p>A. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{L}{{2f}}">
<mfrac>
<mi>L</mi>
<mrow>
<mn>2</mn>
<mi>f</mi>
</mrow>
</mfrac>
</math></span></p>
<p>B. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{L}{f}">
<mfrac>
<mi>L</mi>
<mi>f</mi>
</mfrac>
</math></span></p>
<p>C. <em>L</em><em>f </em></p>
<p>D. 2<em>L</em><em>f</em></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>In simple harmonic oscillations which two quantities always have opposite directions?</p>
<p>A. Kinetic energy and potential energy</p>
<p>B. Velocity and acceleration</p>
<p>C. Velocity and displacement</p>
<p>D. Acceleration and displacement</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The frequency of the first harmonic standing wave in a pipe that is open at both ends is 200 Hz. What is the frequency of the first harmonic in a pipe of the same length that is open at one end and closed at the other?</p>
<p>A. 50 Hz</p>
<p>B. 75 Hz</p>
<p>C. 100 Hz</p>
<p>D. 400 Hz</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>An object performs simple harmonic motion (shm). The graph shows how the velocity <em>v</em> of the object varies with time <em>t</em>.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>The displacement of the object is<em> x</em> and its acceleration is <em>a</em>. What is the variation of <em>x</em> with<em> t</em> and the variation of <em>a</em> with <em>t</em>?</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeoAAAKNCAYAAADvdChFAAAgAElEQVR4Ae2dP88ct5an53tcGLuzwcKrUX5tKDa0VnphwIp2YAdWeJ1YO4kdWdl1smMldrADWMF1agE2djILcG5BX0DXX0D6BL34lXTel13v6W5WFcnin4dAo7vZVazic3jOj2Sxqv/pQIIABCCQgcDDh18c3nnnT9Przp33D0+e/JDhKBQJgf4J/FP/VaSGEIBAaQL37398uHfvw8OrV6+mQz9+/O0k2M+e/Vr6VDgeBJonMIxQK3BY7/7p058mwz169PWUp99IEIBAGgLyL/na8+e/XxX48uXLKU+CTYIABJYRGEaohUXB4vbtW1NPXyLNVNyyxsLWEFhDQOJs0+DWSV5TDvtAYFQCQwm1jGwBQ0JNggAE0hNQB1gdYo2q5W/yNZvRUmeZBAEILCMwnFDbtBw9+2UNha0hEENA090S6PkUtwRb4k2CAASWExhWqBlRL28s7AGBSwRs0Vh4fVoLyiTSrAW5RI/fIeATGEqoFTAULLQaVS8SBCCQloCNqK0jrKlum/Z+8OCztAejNAgMQmAooVbAUCBRELFVqQSPQVo61SxGQNeo5V96aSStUbY6xoyoi5mAA3VGYAihVpBQ0LB7OO1WEeWzuKWzFk11miHw449/P3z66SfNnC8nCoG9CAwh1EvhStS/+urLpbuxPQQgEEng9evXh1u33p060N9//13kXmwGgTEJINQzuytoSKgVRH777bfZr3yFAARSENBIWp1h8zUJNwkCEPAJINQBl3kv/733/hz8ykcIQCAFgV9++XnqCMvfJNSff/5XpsBTgKWMbgkg1IFpw16+sj/66C+Hb775W7AFHyEAgS0EJM7qAEuslSTU1kG2vC3lsy8EeiSAUL+16ryXr+wXL15MgUTvJAhAYDsBXVoKF5BJqJXkf8xgbedLCX0SQKjf2lWjZ+vRW/DQTxpRh4Glz2ZArSBQhsAff/xjGkHb0UJfY02IUeEdAscEEOpjHtO3MHg4P5MFAQgkIoCvJQJJMV0TQKgd8xI8HChkQSADAXwtA1SK7I4AQu2YlODhQCELAhkI4GsZoFJkdwQQasekBA8HClkQyEAAX8sAlSK7I4BQOyYleDhQyIJABgL4WgaoFNkdAYTaMSnBw4FCFgQyEMDXMkClyO4IINSOSQkeDhSyIJCBAL6WASpFdkcAoXZMSvBwoJAFgQwE8LUMUCmyOwIItWNSgocDhSwIZCCAr2WASpHdEUCoHZMSPBwoZEEgAwF8LQNUiuyOAELtmJTg4UAhCwIZCOBrGaBSZHcEEGrHpAQPBwpZEMhAAF/LAJUiuyOAUDsmJXg4UMiCQAYC+FoGqBTZHQGE2jEpwcOBQhYEMhDA1zJAraxI/WOa/hlNL/1Dof6RUO+Wp99J5wkg1A6fGoOHNXb9n68auvdSw+e/sx2DklUtgRp9rVpYjZyYRPirr7486K+DZV/9z7g+66W/DLa/Dra8W7fenbbTd+1nfzfcSHWLnCZC7WCuIXhImCXKathqyHqpIX/++V9dkVbj1+93735w1eiVh3A7BiarGgI1+Fo1MBo+EQ0SFJssTil2KS82vX79etpeMUsxTOWovCVlxB6rxe0QasdqewaPH3/8+yS4aqgSaX1fMzWkBq7eqXqzeslx5AwkCNREYE9fq4lDq+ei+GQxRp9TxRjFPIl2WHarjFKcN0LtUNwjeFijVG8yZYNX9TSqVu9U9dJ7Kmdy0JEFgUUE9vC1RSfIxi4BDQQUqzSLl3vUa50BHS/3sdzKVpCJUDtGKBk8dD1GvcYSDV4CrQ6BRut6J0FgbwIlfW3vuvZwfMUQm6krfS1Zs4KKXTr+aIMNhNrxnhLBQw3Nrj+rx1gyaVpJx1YPlWvYJclzrDmBEr42Pybf1xFQrNCgYk+htNil8xgpdiHUTpvNHTw0fWPXoPfsGapHzOjaaQBkFSOQ29eKVaTzA2kwoVhRehR9CqtG12o7pQc5p84ndz5C7RDOGTxs+qaWBqYeqkbWGmHv2WlwzEDWAARy+toA+IpUUetaapx904hanQedX+8JoXYsnCt4qEGpYdU4ZWPOiFg7DYKsbARy+Vq2Ex6s4Nrjgg00ehdrhNpxvBzBo/YGLwy69lRjz9kxEVmdEMjha52g2b0aLcQsQdLgQnGrZ7FGqB13SB08WmnwQmHXomoc9TumIqtxAql9rXEc1Zx+SzFL0HoXa4TacY2UwaO1Bi8cEmv1UJkGdxoHWUkJpPS1pCc2cGEtxiyZq2exRqgdh0wVPFpt8ELS8rk7JiWrUgKpfK3S6jV3Wlrs2nIn3RaY1bJYN1UDQKgdkimCh00ha7FDq0lirQexkCCQi0AKX8t1bqOVa7drtn7ZS+evdtXTU8wQascbtwYPNRCV0XqDFxr1rrXIjASBHAS2+lqOcxqxTBuJ9iJuPQyUwnaIUIc03n7eEjx0nUS3YPUy9dJbfRxzk7UjgS2+tuNpd3Vou7bb22OF7fJdD8ZCqB0rbgkePd4mYE9S62GGwDE3WTsS2OJrO552V4fu+RKX4nEPHRCE2nG5tcFDDUINo8fUc916tFcrdVrra63Ur/bztOvSGlX3mHqZ0keonda5JniMMOrUwjKuVzsNhqzVBNb42uqDseMRAbusVcvzu49OLuEXrWTXn3i03BlBqJ0GsTR4qAGoIahB9Jy0gl3X33tZcNKzrVqp21Jfa6VeLZynnu+v1wip9UEGQu200qXBQ6PMUW5j6qF36picrJ0ILPW1nU6zu8P2PuU9N1jrgwyEem7Rw2G6tcrJdrNsyrvl+6Xdip3JbL13eqZq/FSYAEJdGPjbJ3hpZqz3Ke85WRtkzPNb+I5QO1ZaEjx6WVXoYDiZpU6JGLEK/CQifogksMTXIotkswsERpoBnKNoNV4j1HNLLhhRj7wSeuS6O02GrJUEEOqV4Fbups61mI80AxiislXgrdUfoQ6t+PZzTPCQoUdfWDXCAjqneZCVkECMryU83PBF6bKVOtkjJ80otLaIDqF2WmxM8NBDAvQaOdn1+ZZvexjZfjXUPcbXajjPHs5BT0ts/TalFHaw29JaunsFoXYsfyl4IFDX0FhYds2CT8sJXPK15SWyh0fAbiHt5dHGXh2X5GlhWUsPp0KoHeteCh5MH11Ds4VlrV3zua4Bn/YkcMnX9jy3no6t6W7FLdI1Ac0utNJxQaiv7Xb16VzwsOmjq435MD2tjCBAQ1hD4JyvrSmPfW4SaHGq92Yt0ufo9rRWLgUg1I79zwWPlnphTtWyZBEIsmBtvtDnz38/3L//8bTKWD51796HhydPfjiq1zlfO9qQL6sJaC1Na4unVld24Y6tzI4OKdQKFnfuvH8VQBRMFFQsnQoeuq7ByNEoHb9zu9YxD74dJh+Tb7169WrC8fDhF5PPxfga/NIQ4NLUeY6trDe6IdQSMQmVhKzHpCCh+iloKCmIKJiE9fWEmlHj+dbAYpXzfEb79dmzXyc/03uYbt++dXj8+NurLM/Xrn7kw2YC3J1yGaFmG2q/Ze2GUEu0NEUlB5o72eUq17+FgoSCRZjmQcULHizGCIn5n7l+73MZMVd+Jj+y0bQxUGx58OAz+zptc/WFD0kJjP5wk1iY9kyMmhfEHgn1y5cvJ8exqWEbdcZWuIXtFCQULMKkYKKgYj39uVAzmg5pnf/MNfzzfEb59dGjr290iFX3uf/NfW0UPiXqqct0oz/rIZZz7TMPR0JtvWAJtkR6PvKMrXTN28179HauqquCi9I8eGg0TYM3UuffGVWf5zPKrxJkL37M8+e+Ngqf3PVs5dprbg6x5dd+Lf9IqCVimvpWsung+SrN2IrXup2Ch4LFPIX5YfCw0XTN0yLzuuz9XaPq2q/57M2o9+PPBdnqO88Pfc224X07gVZWM2+vaboSah5VXwm1LbIKhVkLrDxRS4emfEmhIIdHD/PD4FGz8cLzr+mzRtV6Dro6OaQxCTD1vZ/dGU2vY1/zqPpKqM2xwsUfXt46BPXstWTqu2bD1UPUPxNG1T6XUXLtMloYT1T3cNZO38NO8ShscteT0fR6wrUOzK6EOryvWM4TvmyR1frq17OnZggULMJ0ajFZrUYLz73Wz4yqa7VMmfOyS2fzO0c0cxXGE4Q6rT0YTW/jmWpwlrqzNAn106c/TcKs93mSgM+Fbb5NS98VJBQswjQPKgoeqQwWHme0z4yq67K4/RevHtxTIil28MCTEqSvj5FaIK5LHudTigGafE1/+qGXPm9Nk1BrlCmn8pJNYYVPE/K2ayXPbkGzW880mvYeeJLCWK0wyXWe9O5zkV1fbuoAcu5M1PGXb9nsnGJMuAZG+zKiPkdw2W/42zJep7ZOOUjTolqt19F/YG9ZszMJ9Xw6KqyACZvduhT+1upndT4UNCyAKJiEHRHLl8FI2wjQw9/GL9feFkD0viWAbDk/Hdd8jffjy43w6JPHWk35J/Vw1SgkyKdSOOK0afLwOtOp/VrNx0n6dBLs6tt1r//lTTlyaTXWpDpvRtOpSL4pJ2XnVf/SpVG1HlW6ttyrxWRpq9l2aQropHQEGFWnYSknl8Ov7ZWHZ6GyFDhUngLJXkm+pstMpG0E8LFt/HLsLT+VXbRWZ6uPIdSOhRBqB8qGLHr7G+AFu2qaOoWoaTFZiutmwamt/mizHApquvwUXtPWItb5Ne3VB+p4R/yrPuPaXS9br01bzRBqIxG8z4VaweLcNe1gVz6eIECP/wSYyOwUo2mVYT18Bfcako2o1QGRj0mo7d5rLfjU7+H6kRrOubZzwLdqs8hh6lBf8jFdPo7tiCLUjo1DoVaQ0Pdzq8SdIsiaEaDXPwOy8GuK0bRGrZduzZJI6i6Qc2tWFp762c3lWzovvet16b7rs4UN+CN+1abRY9aGhTVDqEMabz8rYFhSr+fSfde2Le/nCdDzP8/n1K8SslTXpk8dw/LVIdXItlQyX9M0tz7baNqOr/zeHmNsdUvxjk+loFi+DPnZXFfOnQVC7dCx4KGfYp5k5hRBlkOA3r8DJSKr5D39EumSwmi+9m//9r8noVanJEye/4W/j/wZf2rT+uFlVLX/mNkrhNqxtQUP/XSqR6/eUE/3ljsYsmQxAliG1aaF5wK2rJTLW9vzEtT29So1qjZfkyD/t//2X28sllP+kpHH5Zr2swW+1K4t1aaX3OKMUDu2tuChnwTUG2GcyneKIysgwCgggBHxseRoev4o3YjT27yJ+Zp8TNP78yl+hNpHbPfmaoEgqS0Ca/wMoXZsbMFDP50S5FP5TnFkzQgwEpgBOfG11GjaDu+tx7Dfcr2br9k/9WnRnO7vtiSh1qwW6ZgAz9E/5tHSt6ULyVQ3hNqxsAUP/cTUtwNoYxaj6jiAJUfTOqPSC8l0TPM1dRL0WZ0TjarVRpTkf7pli3RNQPfoSqhJbRJY42cItWNrCx76yevRa2WqtllyjcE5zNBZGlVLiEg+AROs3Nemw6PrurSCSMlkvhZOB2pUrfahpJkr/OzYIhJpiTWpTQJrOp8ItWNrCx76yZsODIOKsztZEQRKT+tGnFJVm5S+PLBX5zP0NXUUNHq2Tsq//uv/mjrEPPDkumnqPnhG09c8Wvy0pvOJUDuWDoOHrYa1kYYCmoJJqVWxzul1k1V6arcVcHtcGtir8xn62vxvMf/5n/9L9JObWrHtlvO0p9PZZYEtZbHvPgRMT5bOEiHUjr3C4KGfBVXCrHy9JNT08h1wC7Ns5ETgOQan0fSlJ4gd77H9my1wKd2u574W1oQp3pDG4RBeEjj+hW8tEZB+mI7EnjdC7ZA6FzyczcnaQIDgcwxvr4VC6ulbZ3Rpb/+4Bsu+nfO1PWYWlp19ua3tUtGLFy/KHZQjVUMAoXZMcS54OJuTtYGATedt/Ru4DadQza5ioVHkSCwu+Vrpa/XVNIbZieiWNRZfzqAM9BWhdox9KXg4u5C1gYCNIkd/eMOIswuXfM1GknofNTGzMKrlr+uNUF+zuPp0KXhcbciHZARGHzmZII02tRnjayN2YELH0ixL6TUL4fH5vD8BhNqxQUzwcHYjawMBCdT88ZEbimtuV3VU9Cfzo6UYXxvxkoC1A3VS7t79wL7yPigBhNoxfEzwcHYjayMBCZUEa7Q08nObY31tREajzrKM5v8x9UWoHUqxwcPZlawNBEZcWDZincMmssTXtKAqfA54WE6Pn0edZenRllvrhFA7BJcED2d3sjYQGG3kpFmEkcRn3jSW+NpInRp7ApnqTIIAQu20gSXBw9mdrI0ERhk52WrekVc0L/W1ETpyag/hH5NsdCd274AAQu0YcWnwcIogawOBEUZOVsfR/1xhja/13pHT4jEtIiNBwAgg1EYieF8TPILd+ZiAQO+jzd7FJrYJrPE1dXJ6vWVJl0JY5R3besbZDqF2bL0meDjFkLWRQK9Bi+uP1w1jra/pdj7t29N95zatP/KlkOuWwaeQAEId0nj7eW3wcIoiayMBjS4k2L2kHgVmi222+FpPHR57joDEmgSBOQGEek7kcJh66k42WTsQsIU1PVzL7XnKdm3T2CLUOqaef936VLHaBdel17agMfZDqB07bw0eTpFkbSBgo42WpzktGPPHCscNYauv9cBV90vTLo7bBd+OCSDUxzymb1uDh1MkWRsJaETd8iNGexj5bTShu3sKX2tZrGkXbrMgc0YAoZ4B0dcUwcMplqyNBOy5xwrMLSULxq2ddwnGqXzNLpG0NDKlXZRoYX0cA6F27JgqeDhFk7WRQGvBrbXz3Wiexbun9DW7RNKCWNMuFjeVoXdAqB3zpwweTvFkbSTQSpBr5Tw3mmPT7ql9TWKthVm1irVmVWgXm5rMkDsj1I7ZUwcP5xBkbSSgaXA99KLGBWYE43jj5vA18ZdY61XT5QZNz1snoqbzircWW+5FAKF2yOcIHs5hyNpIwBaY1XTvqQVjreQlGF82cC5fE3uNXGt5ZrY9aY9Hg15uE2xxkwBCfZMJi8kcJrVm2XXJGh6KYk+WquFcarXX/LxyCbUdxzpzsskeHScdU8eupcNgXHhviwBC7dgrd/BwDknWBgIKhnp2tqYV95gKt+MrGNc0ut+AtNiuJXxNsxya4dClkpIPztGxdEyN7PfoJBQzIgfKTgChdhCXCB7OYcnaSMBGTyUDox5jKYFWR4FgvNyAJX3NhFOinVOww+NoypsEga0EEGqHYMng4RyerA0EJJa20EyCrdFU6qRj2HOmFfQJxusJ7+FrJqQa7aqtpJiFURma4laZtIn17YE9fQIItcNlj+DhnAZZGwiYYNtoV8F564hX09q2QIlgvME4wa57+po6WGZPm6JWO4npeGkbbav9ta9eEuocHcMAFx8HJYBQO4bfM3g4p0PWRgKhwOo6tgKqRsQKtt5oSsHWArFGXBJltQntq/0IxhsNEuxei6+pHci2ttZB52Uv2V0v+67On9qERFpiTXsIDMrHLAQQagdrLcHDOTWyNhKwgCyxVrANA/A8ECtoS6gl9FtH4xtPu9vdW/A1ddoQ426bYBMVQ6gdM7UQPJzTJgsCzRHA15ozGSe8AwGE2oFO8HCgkAWBDATwtQxQKbI7Agi1Y1KChwOFLAhkIICvZYBKkd0RQKgdkxI8HChkQSADAXwtA1SK7I4AQu2YlODhQCELAhkI4GsZoFJkdwQQasekBA8HClkQyEAAX8sAlSK7I4BQOyYleDhQyIJABgL4WgaoFNkdAYTaMSnBw4FCFgQyEMDXMkClyO4IINSOSQkeDhSyIJCBAL6WASpFdkcAoXZMSvBwoJAFgQwE8LUMUCmyOwIItWNSgocDhSwIZCCAr2WASpHdEUCoHZMSPBwoZEEgAwF8LQNUiuyOAELtmJTg4UAhCwIZCOBrGaBSZHcEEGrHpAQPBwpZEMhAAF/LAJUiuyOAUDsmJXg4UMiCQAYC+FoGqBTZHQGE2jEpwcOBQhYEMhDA1zJApcjuCCDUjkkJHg4UsiCQgQC+lgEqRXZHAKF2TErwcKCQBYEMBPC1DFApsjsCCLVjUoKHA4UsCGQggK9lgEqR3RFAqB2TEjwcKGRBIAMBfC0DVIrsjgBC7ZiU4OFAIQsCEIAABHYhgFDvgp2DQgACEIAABOIIINRxnNgKAhCAAAQgsAsBhHoX7BwUAhCAAAQgEEcAoY7jxFYQgAAEIACBXQgg1Ltg56AQgAAEIACBOAIIdRwntoIABCAAAQjsQgCh3gU7B4UABCAAAQjEEUCo4zixFQQgAAEIQGAXAgj1Ltg5KAQgAAEIQCCOAEIdx4mtIAABCEAAArsQQKh3wc5BIQABCEAAAnEEEOo4TmwFAQhAAAIQ2IUAQr0Ldg4KAQhAAAIQiCOAUMdxYisIQAACEIDALgQQ6l2wc1AIQAACEIBAHAGEOo4TW0EAAhCAAAR2IYBQ74Kdg0IAAhCAAATiCCDUcZzYCgIQgAAEILALAYR6F+wcFAIQgAAEIBBHAKGO48RWEIAABCAAgV0IINS7YOegEIAABCAAgTgCCHUcJ7aCAAQgAAEI7EIAod4FOweFAAQgAAEIxBFAqOM4sRUEIAABCEBgFwII9S7YOSgEIAABCEAgjgBCHceJrSAAAQhAAAK7EECod8HOQSEAAQhAAAJxBBDqOE5sBQEIQAACENiFAEK9C3YOCgEIQAACEIgjgFDHcWIrCEAAAhCAwC4EEOpdsHNQCEAAAhCAQBwBhDqOE1tBAAIQgAAEdiGAUO+CnYNCAAIQgAAE4ggg1HGc2AoCEIAABCCwCwGEehfsHBQCEIAABCAQRwChjuPEVhCAAAQgAIFdCCDUu2DnoBAYh8Djx98ebt++dXjnnT9NL30nQQAC8QSGEWoLEgoYL1++PLx69epw//7HBI74tsKWEFhMwET6+fPfp331Lh9ErBejZIeBCQwj1LLx06c/TcL86NHXk0hb8BjY/lQdAtkIqDPsifKdO+8fHjz4LNtxKRgCvREYSqhlPAUJja4l2iQIQKAcAfmcOskSb72TIACBOALDCbUChIRavX0SBCCQj4BmrO7d+3DyN11mku89fPjF9P3Jkx/yHZiSIdAZgWGFmhF1Zy2Z6lRHQLNXEugwSaDVUX727Ncwm88QgMAZAkMJtXr4ujamQMHU25lWwU8Q2EhAviY/my8a0whbU98kCEAgnsAwQq2V3goSmvLWu3r7CibzQBKPji0hAIFzBOYjauskI9TnqPEbBG4S6F6oJczq2StoSKyVbPptPi13Ew85EIDAWgLqCMvv5H966fq0Xgj1WqLsNyqB7oV6qWFfv359+Oijvxx+++23pbuyPQQgsIKAfE0+J98jQQACNwkg1DMm33zzt6n3/957fyZwzNjwFQKpCUic5Wsaccv3SBCAwE0CCHXA5MWLF1fTdOrhEzgCOHyEQAYC8jH5mk2PywdJEIDAMQGEOuBx9+4HkzgraPzxxz8Ot269eyBwBID4CIGEBORb8jH5mo2o5YMkCEDgmABC/ZbH999/d7AgoaChpN6+5R1j4xsEILCVgHWMVY75nPLkiyQIQOCaAEL9loV69raAzIKGflLg+PHHv18T4xMEILCZgHwq7ASbz8kH5YssLNuMmAI6IoBQvzVmOMVtQUM/aVpOLxIEIJCOwNyvQp8LfTHdESkJAu0SQKgd24VBw/mZLAhAIDEBfC4xUIrrigBC7ZiToOFAIQsCGQngcxnhUnTzBBBqx4QEDQcKWRDISACfywiXopsngFA7JiRoOFDIgkBGAvhcRrgU3TwBhNoxIUHDgUIWBDISwOcywqXo5gkg1I4JCRoOFLIgkJEAPpcRLkU3TwChdkxI0HCgkAWBjATwuYxwKbp5Agi1Y0KChgOFLAhkJIDPZYRL0c0TQKgdExI0HChkQSAjAXwuI1yKbp4AQu2YkKDhQCELAhkJ4HMZ4VJ08wQQaseEBA0HClkQyEgAn8sIl6KbJ4BQOyYkaDhQyIJARgL4XEa4FN08AYTaMSFBw4FCFgQyEsDnMsKl6OYJINSOCWsNGvpXIf0NoF76m0D9X/Yvv/x8lce/fDnGJKsJArX6nPmb3uVveoV5TcDlJJsngFA7JqwhaOj/eCXCX3315fS/vTqn99778+Gjj/4yvT799JMpaHz++V+v8vS7ttM22k/7kyDQAoEafE4d3e+//+4g3zJf0n9mm8/JpyTU9l3v5pfaR/vSWW6htbV3jgi1Y7M9g4bEVU6vc1CQsB68c5ons6z3r/1v3Xr3IDHnP35P4uKHCgjs5XPqEEtgQ1/RbNUSf5E4W6daAq+XylTZJAikIIBQOxT3CBoKDjmc3EYJKlsjAIk4CQK1ESjtc/ILdWDVkVXHOOXsk0TeytY7o+zaWlt754NQOzYrGTQknBJR9ehTBgunWtN1bRPsJSMGryzyIJCSQCmf0yhXs1Q205RTRMNjadqcEXbKFjNWWQi1Y+8SQUNOq568AoZG0yWTjqfjEjxKUudY5wiU8DnrFGtmKadAz+spX7cRdu7O+PzYfO+DAELt2DF30FDAsCm3vXrZ1lHQSJ7RtdMIyCpKILfPqVMqn9O1472SdRQk2nv5/V5157jbCCDUDr+cQcOm3UqPop1qTll2bbyW8zl1nuT3TSCXz0kQ1RnVq+Qo+pS1wg5yDedz6jzJr4sAQu3YI1fQUE9a14hrG8HqfDTaUCeCBIE9COTwObVr+Zv8rrakkb18rrZYUBsnzucNAYTaaQmpg4Z60boupl59rVNeNvKoMag5JiKrMwKpfa6FzqetFUGsO2vMGaqDUDtQUwYNE8CaRdoQ2Lki1kaE91IEUvqciXQLl3PsXFlkVqqltXkchNqxW8qgoZXdLYi0YUCsjQTvJQmk8jkTvhZE2vjqnGu8JGbnx/v+BBBqxwapgoZGpi2JtKEwseaatRHhPTeBFD6nxVm67tuSSBtXpsGNBO8eAYTaoZIiaEjkWhRpw9Fy0LM68N4OgaT/gUMAACAASURBVK0+Z53Lli/bmFirLiQIhAQQ6pDG289bg4Y5nKa0Wk42jdh6PVq2wSjnvtXndIlJr9aT7vduuYPfOv9azx+hdiyzJWiYuPWyOMQ6HfTynYZCVjICW3yu9dmrOUTdIdLyzMC8PnzfTgChdhiuDRo2/dbbtV318hU8SBDIRWCtz9lT/nqa9VEc0eIydZJJEBABhNppB2uDhnrBvQqapuN664A4pidrJwJrfE6C1urisUuYbWaupw7IpTrz+2kCCLXDZk3Q0FS3gkavU8QWODSCIUEgNYE1Pqdr0j1PEduUfmrWlNceAYTasdnSoGE9+16uSztIpiw99lBTcr12Rk7Vm/z8BJb63ChtUTN0zGTlb3+1HwGhdiy0NGj0suLUQXEjS4FD16xJEEhJYInP2a2DI8zuWF2ZAk/Z2torC6F2bLYkaPQ+5T3HY4FjhCA5rzvf8xFY4nOjdRY1e6A1IqRxCSDUju1jg8YoU95zRDbtOM/nOwTWEoj1OXWMR7z8wmLOtS2rj/0QaseOsUFj5NuWCBxOwyFrNYEYnxu1YyyomvoWI81okcYjgFA7No8JGrYKelTHsftXR62/02zI2kAgxudG7hgL7ej139C8mt8VoXZMGBM0WI15mG6N6eGxjU4TIKswgUs+pw6hthm5YzjyjELh5ljd4RBqxySXgoaeGKTrZKMnCxwsLBu9JWyv/yWfo2P8hjGxZ3tba7EEhNqx2rmgIXGSSPd+z7SDxc3SPZ50Wlw0ZC4gcM7n7DKLfI90mFaAc2/1WC0BoXbsfS5oyEHUuyddE5BQ81ziax58Wk7gnM/Rvo550nE55jHCtyGF+smTHw537rw/XfNSgLh//+PD8+e/X9n7VNBgqvcK0dEHiXTPj089qixfshA45XNM9fq4R7uX3KcwTu4k1I8ff3slWnIYe92+feug33pKEmTV7+HDL6ZqvXr1ahJqCbelU0FDqy57fraw1X/NO9cQ11AbYx/52IMHn52NK57P0TE+3T5YXHeaTY+/HAl1OKpUZTXylAP1JNaqizogYXr27NepnnpX8oIGjhESu/mZ6bibTMh5Q0AirY6wxRcvrng+x2Wm8y1IgwYGDucZ9fLrWaFWJe/d+3B69VJhBQ3VKUzq8YcdEi9o4BQhMf8z03E+l9FzvZk5XW7Sy9Lc5xhNG5nT7zZ44K6L04x6+SVKqCVuvSSJtFcfBZNHj76eqjkPGnIIrsFebgEKGGInXiQIiIBdanr69KcjIPK1cGZr7nMaTXOP/hEy9wsPQXGxdJd5Vqg1RSVhe/nyZTcVV3A4JdSWPw8aChjcDhHXBJh5iOM0ylYSaPmTTXtbvW1djGazlEKfs44xHT6jdfqdmYfTbHr65Uio5SzzV3htqYeKLxVqrr0us7qCq9oQQXYZt163NkE+JdSWHwo1nb1lrYFr+ct4tbj1kVCb01hF1BuWUIcrou23Vt+XTn2zmnm5pQm0y5n1usdSoaajt7wlMKpezqy1Pc4KtSpjjmYrolur4Px8Nb0du5iM0fScXtx3gm0cpxG2Wjr1TSdvXatgVL2OWyt7XRRqczS995DU8QgXsahOp27PYjS93uIE3PXsetpTs3Sa1p7HD28xGR289ZZnVL2eXQt7XhRqG1H3sqBM9VDguPTAE0bT25ovQXcbvxx76/n06nzqL1pLJnWMFUfC5N2eRecuJLT8M6Pq5cxy72ELkdWR2pLOCrV6w7o+baK25UA17augoXpJsPXyHiHKaHq7xQi82xmmLkHBXG1e76WS4of8zdbAnHrgic5LHTzSOgKMqtdxy7mX2rO0RM+r1+BvbToSahMue/d6wjYVPu8hrz2BGvdT/blvertlGFVvZ5ijhFTBI/bcNIultSEWV/Q+jx/KU8eOtI0Ao+pt/HLtbf+HoDa+ZnQ9CXWuk2u13DCg8PnmLXsw6YtJydG1FxMUuGhTfbUp7HnenktnjhBqJ3Koka3p9ThFDZ/FqDpdE0i5bkLtW9fPNHNUw3+ry+dIaQgwqk7DUaWkvHwn/9UUuKbCl+oLQu3YlKDhQNmQlbKxbziN5ndNtW7i+++/mwR67TRcDpD4XDqqEgF1wLZcE013Nu2WlGqQIXvI12QTTYGvSQi1Q20eNLT45dziM6cIsgICqRp8UORwH1OMphUwUixsyQF/7nO6hq08e2lBmj1uNMfxeyuTUfV2i6YYYGi2SgKt2aulo+iwBgh1SOPt5zBo2H2gtvJdwUKrxCXcpHgCKRp9/NH62zLFaFpBQwH8XMBQe7e2XpJi6HMm0uogK9ndJ/Ys/pLn1eqxZGNG1eutl2pwoT9NuTSzoXY+X1w5P3OEek5k9gcBAnjpASlOEWTNCKRq+LNih/iaYjQdC0od0L2Fen6Ptc7d88PYOo26HaPq9ZYvNbCw53pYp/TUGSPUDpmwdx/zyFGnCLIcAqUav3PoprNSjKZjAFjQuNS7jylr6Tahz6ljbH85a+XYbaF2L7bl836aAKPq02zO/VJyUCGBVtu/1K4RasdiYdCI+RMPpwiyHALmAJemgpxdh80qNZq2gKG2r1fpUbX5nC4t6fO8s6BApvz5o0iHbRiRFdeo+u7dDyK3ZjMRKDWgkI+pTdvr3KgaoXbapsBZUu/euzZ2Kt/2490nICfQCJEUR6DUaFpns+f0svmcCfIpoZ7nx1EcdysbVa9dbTwaORtM6L1E8i7zeMdFqB0qFjT00ylBPpXvFEdWQEAOwCKXAMiZj6VG03YKsUHDtk/5bj6HUKek+qYsjap1/y7pMoFSo2k7E+lITOcToTZiwbsFDWUx9R2ASfSRRS5xIEuOpnVGey0k07HN55j6jmsbS7eSUDOqPk/NBhGlRtO2JuTclLedMUJtJIJ3CxrKYjFZACbRR5uO41r1aaC6larkKGhJ0Dh91ut/CX1Oo4xTi8n0l7Sk5QQk0iXb0/Iz3H8P+6erUmdi60Lke5cSQu0QCoOGd91u/v/VThFkXSDAqPo8oNIjIFtVvZcQhj7nTcF7fnieIL/OCahN6al0pJsESl9m0hnM/5P95lld5yDU1yyuPoVBw0YatgqWB55cYdr0wUbVTMfdxLjH6GdvIQx9zkYaNiWo69aalvcWdd6kR84pAvaULPke6ZhA6ctMOrrXIT0+q+tvCPU1i6tPYdBQpoKYAoXy9RJgBQ/SNgJ7CNK2M86/t4KoRj6lLwuoI6op573S3Oc02jB/07tEWp1k0jYCewjStjPOv7ddZirdgVnS+USonXYwDxrOJmQlIiBR0jQ46Q2BvS4J2NS32v4e09/4XBkPsCneUgumytRq21FKX2ays7XOaEwHGaE2asE7QSOAkfmjBY7SvdnM1VpVvK06ffHixar9W94JnytnvdK3IJWr2fIj6Zp9Cw+EQagd2xI0HCgZszQdp4fXj55GDqD4XLnWbx3C0pdXytUw7kgaHLTyTAeE2rEpQcOBkjFLgUPMRxxJGtbRZxbwOWsJZd51iaWFkWROGuoY65asFhJC7ViJoOFAyZy117XZzNWKLl5Bc+RbZ/C56KaSbMORb9eyjnEr1+oRaqfZEzQcKJmzbLXziLdrtXKdLGcTwOdy0vXLNrEacX2IOsYtLWJFqJ02TNBwoBTIGjFwcL3wTcPC5wo4mHMITf22Mv3rnP6qrBan/RFqx9QEDQdKoazRAgcL6d40LHyukIPNDtPSgqrZqa/62mrHGKF2zE3QcKAUyrLAoYcQ9J405a3rhCNOPc5ti8/NiZT7vtcDP8rV8PpIrXaMEeprG159ImhcodjlwwiPOmy1Z5+rQeBzucjGlauZLK2C7jm13DFGqJ2WSdBwoBTOaunWiTVotJiFe8evyeFz1yz2+NT7TJZu/VQba/UWUITa8QqChgOlcJYCR6+3j7S4mCW3+fG53IQvl2+LOVu5Zelyjd5soVjS2irved0Q6jmR4E/snZ/IKkig9V6wh8qm9Vvt2Xt1SpGHUKeguL0MzfJI1HpKmp3TtemWE0LtWI+g4UDZKUv3Vesxfz0suLLr0iPeK36p+eBzlwiV+12i1sv16pavS4cWR6hDGm8/EzQcKDtmKWi03su36TeuS/sNCZ/zueyRa5edWu9Q9jR7hVA7nkDQcKDsnNV6L1/nP9qDJZY0GXxuCa382+rSjGayJHYtJjv/1jsbxh6hNhLBO0EjgFHJRxuRtjglZzMCPUzf52oO+FwusuvLtcVlra2n6E2kZUGE2mnHBA0HSgVZLYo1Ih3XcPC5OE6lt7I1Iq2ItYl0ix36c7ZFqB06BA0HSiVZLYk1Ih3faPC5eFalt2xFrHsVadkboXZaPUHDgVJRVu1irfPT9WgtgNNn0mUC+NxlRntuYWJd6zVrE+leF2si1E7rJ2g4UCrLkgBqgZZeNYmhbsGSQNd2XpWZ78bp4HM3kFSXYWKoW55qStaJ0HuvCaF2LEvQcKBUmqUetJ5gpiCyd7LbQXrt1efki8/lpJuubOuIasZo7w6yji9f0+p0LXzrOSHUjnUJGg6UirNMIPf6I/gwYNQ6NVix+aZTw+dqt9D1+Vl7Vwd5L4HUcW3mqrdHnl6Tvv6EUF+zuPpE0LhC0cwHBQ/18hU8SoqlTbvVMMJoxljOieJzDpTKsySW8je1/VJiKT/XIk2Nomubgs9pLoTaoUvQcKA0kmXBQ9eIcwq2BFpBas9RRSMmiTpNfC4KU3UbSTg1kyXhlIDmEmyVW+I41QF+e0IItWMZgoYDpbEsCanEWkIqB08RQHQd3K6Jadqt58Urpc2Nz5UmnvZ4oWBrhC3fUN7WpM62ylP7yNkR2HqeufdHqB3CBA0HSqNZJq42+pXQKohcuramIKNtNL2mABHuX8PCtUbNcfK08bmTaJr7Qf5l4qrOsjrKEtxLfqPOtHxO22s/tQl1iOWDKUS/OZDBCSPUAQz7SNAwEn29K1CY8FogkK0tIEiM7bvetY1EWvtcCjJ9kSpfG/Em9UcgFF6J7ty/wu/yP/mcOtMS9tHFOWwNCHVI4+1ngoYDpfMs9eZTTI93jilb9fC5bGirLVgijhjHmQehdjgRNBwoZEEgIwF8LiNcim6eAELtmJCg4UAhCwIZCeBzGeFSdPMEEGrHhAQNBwpZEMhIAJ/LCJeimyeAUDsmJGg4UMiCQEYC+FxGuBTdPAGE2jEhQcOBQhYEMhLA5zLCpejmCSDUjgkJGg4UsiCQkQA+lxEuRTdPAKF2TEjQcKCQBYGMBPC5jHApunkCCLVjQoKGA4UsCGQkgM9lhEvRzRNAqB0TEjQcKGRBICMBfC4jXIpungBC7ZiQoOFAIQsCGQngcxnhUnTzBBBqx4QEDQcKWRDISACfywiXopsngFA7JiRoOFDIgkBGAvhcRrgU3TwBhNoxIUHDgUIWBDISwOcywqXo5gkg1I4JCRoOFLIgkJEAPpcRLkU3TwChdkxI0HCgkAWBjATwuYxwKbp5Agi1Y0KChgOFLAhkJIDPZYRL0c0TQKgdExI0HChkQSAjAXwuI1yKbp4AQu2YkKDhQCELAhkJ4HMZ4VJ08wQQaseEBA0HClkQyEgAn8sIl6KbJ4BQOyYkaDhQyIJARgL4XEa4FN08AYS6eRNSAQhAAAIQ6JkAQt2zdakbBCAAAQg0TwChbt6EVAACEIAABHomgFD3bF3qBgEIQAACzRNAqJs3IRWAAAQgAIGeCSDUPVuXukEAAhCAQPMEEOrmTUgFIAABCECgZwIIdc/WpW4QgAAEINA8AYS6eRNSAQhAAAIQ6JkAQt2zdakbBCAAAQg0TwChbt6EVAACEIAABHomgFD3bF3qBgEIQAACzRNAqJs3IRWAAAQgAIGeCSDUPVuXukEAAhCAQPMEEOrmTUgFIAABCECgZwIIdc/WpW4QgAAEINA8AYS6eRNSAQhAAAIQ6JkAQt2zdakbBCAAAQg0TwChbt6EVAACEIAABHomgFD3bF3qBgEIQAACzRNAqJs3IRWAAAQgAIGeCSDUPVuXukEAAhCAQPMEEOrmTUgFIAABCECgZwIIdc/WpW4QgAAEINA8AYS6eRNSAQhAAAIQ6JkAQt2zdakbBCAAAQg0TwChbt6EVAACEIAABHomgFD3bF3qBgEIQAACzRNAqJs3IRWAAAQgAIGeCSDUPVuXukEAAhCAQPMEEOrmTUgFIAABCECgZwIIdc/WpW4QgAAEINA8AYS6eRNSAQhAAAIQ6JkAQt2zdakbBCAAAQg0TwChbt6EVAACEIAABHomgFD3bF3qBgEIQAACzRNAqJs3IRWAQD0EHj784vDOO3+aXnfuvH948uSHek6OM4FAowSGEWoLHrdv3zq8fPny8OrVq8P9+x9PAeXx428bNR+nDYF6CMif7t37cPItnZX8Sn737Nmv9ZwkZwKBBgkMI9SyzdOnP02B49GjryeRfv789wZNxilDoD4C5luhT6lDLKGmI1yfvTijtggMJdQyjabjFDwUWEgQgEAeAhJnmwbH1/IwptRxCAwn1BpNS6g19U2CAATSENC1aF1Wkm9JoG3WSt81siZBAALrCQwr1PTy1zca9oRASEDT3RLk+RS3BFviTYIABLYRGEqoFVAePPhsCirq8ZMgAIHtBGzRWHh9WjNWEmktMCNBAALbCAwj1Jp+sxWpete1agWW+ShgG072hsB4BGxEbZ1f+ZrdUaGOMQkCENhGoHuhVs9e03ISZrtWputpyjvV2//+++8Or1+/3kaWvSEwEAHzKfmVRtLqAKtDPPexFy9eHH788e8DkaGqENhOoHuhXorol19+nkT8008/Wbor20MAAhcI3L37weRfv/3224Ut+RkCEDACCLWROBymUfStW+9OgUTvEm0SBCCQhoBmqkyo9U6CAATiCCDUAaevvvryoJG0pu8k0u+992emwAM+fITAWgJ//PGPgzq/GknLvyTU33zzt7XFsR8EhiKAUL81twKIAomuTSuQKEm0Jd4kCEBgG4GPPvrLlS/Jv3StWu8ScBIEIHCeAEL9lo9Gz5qaUzKhDkcB5zHyKwQgcIrAfHbK/Esjagk4CQIQOE8AoX7Lx0RaXy2Q6LOCDAtfzjcifoXAOQLyn9CHzL80e8X09zly/AaBNwQQaqclWCBxfiILAhDYSAD/2giQ3YcjgFA7JieQOFDIgkAiAvhXIpAUMwwBhNoxNYHEgUIWBBIRwL8SgaSYYQgg1I6pCSQOFLIgkIgA/pUIJMUMQwChdkxNIHGgkAWBRATwr0QgKWYYAgi1Y2oCiQOFLAgkIoB/JQJJMcMQQKgdUxNIHChkQSARAfwrEUiKGYYAQu2YmkDiQCELAokI4F+JQFLMMAQQasfUBBIHClkQSEQA/0oEkmKGIYBQO6YmkDhQyIJAIgL4VyKQFDMMAYTaMTWBxIFCFgQSEcC/EoGkmGEIINSOqQkkDhSyIJCIAP6VCCTFDEMAoXZMTSBxoJAFgUQE8K9EIClmGAIItWNqAokDhSwIJCKAfyUCSTHDEECoHVMTSBwoF7JevHgx/Z/355//dfqP4Vu33p3+LlQs5y/9B/Gnn34y/cVh+PeHFw7Bz50QwL86MeSsGvJl/W0pMWAGJsFXhNqBSCBxoDhZ+q9uOaVE+e7dDw5fffXl4ccf/z7997D+a/hUkkNrO22v/bS/ylF5pP4J4F/92PhcDDhVS8WGeQxQm1DnXXGBdJMAQn2TyTQCdLLJOhwOcjL1mt9778/TyFmOdU6UY6Bpf5WjkbZEW+VvLTPmuGyzDwGEeh/uqY6aIwb88cc/phk567gTA46thVAf85i+EUgcKIfDJKA2+pVj5Ugq10bpOGsOwvuXiX/tb4M1Z2ACnTsGaLRNDDi2EEJ9zGP6RiA5hiLHsRF0LoE+PuLhoONoKkzH1fFJ/RDAv9qzpcUA+WSpGKB1L5plUwwY/bIYQu34DIHkGoquI6sHvZejWIDQeTAdfm2Xlj/hX+1YTz4n39uzw6zYY6P4UWMAQu34DIHkzYhW14vUg97bOXR8TYXpfNTLJrVNAP9qw37ytZpigEbXo8YAhNrxmdEDiRxUPdjvv//OobNflhac6byYCt/PBimOPLp/pWCYuwz5WI0xQOtWRowBCLXT4kcOJBJDTXPpvcZkAaTW86uRWW3nNLJ/1WYL73xq7xDr/NSGRooBCLXTUkcNJOagtU8v24h/JEd1mmmzWaP6VwsGIwbUaSWE2rHLiIGkFQc1cyHWRqK99xH9qwUrEQPqtRJC7dhmtEBi08m1j6TnpkKs50Ta+D6af7VgldZE2phaDNjrrhQ7j9zvCLVDeKRA0npDt/PXO6kNAiP5VwsWad2HWu1kLGkbCLVDa5RAotueal445pjGzTJHLfUgBvckyIwmMIp/RQPZcUPFAK2ilg+1nCwG7H0raS6GCLVDdpRAovsSdX9yD8n+4KNXR+3BRlaHUfzL6lvzu+5Llu/0kOxZCz3UZV4HhHpO5HAY4k85TNic6jeb1VPHo1kjRJw4Qh0BqcAmEjb5TE+pp45HaBeEOqTx9nPvgcQeydfbVHEv03hOk+wqq3f/asFYFgN6m4FSTNNUfm+LyxBqx6t6DiQmZr01ZDOjrWDvrRNi9evhvWf/asE+JmbylR5Tj50QhNppqT0HEj27u5fr0o7ppixN6/c2pXeqri3m9+xfLdhDvtHLdelTvHuLAQi1Y+leA4me3a1V3r1NdzkmnB7eX9uzyr3zHDGvV/9qwZajxADFOMW6XmIAQu14V4+BpPfprrkZmQKfE6nne4/+VQ/d02dCDDjNpvZfEGrHQj0GkhGmvOem7G36a16/Vr/36F8t2GKEKe+5HRQDFPtaTwi1Y8HeAkmPiyscs93Isumv1h/mcKNijWf05l8tmEM+MMplr9AevSyeRahDq7793FMgGV2sRu2kOM26mqye/KsaqGdOpBexOlPFsz/10ElBqB0T9xRI9Efro6+AHnHKz2nW1WT15F/VQD1zIlwCOkwxULGw1YRQO5brJZBo8YjqMvofVsDBaeQ7ZvXiXzsijD60tX29j5wUA9XuWuWAUDutt5dAMuICMsecUxajilNkyuf34l/lyS0/IrNJ18xaXliGUF/b8epTD4HEbk/S9SnSYbp3XI8W7PVpTC3ZuAf/aoE3MeDYSnatvsUYgFAf23L61kMgUU+65Wsyjlk2Z9nDHjYXRAGbCPTgX5sAFNpZq7yJAcewW12zM6RQP3nyw+HOnfenaxYKGvfvf3x4/vz3K4u2Hkh6/2/WK0Ot+KDgxe1aK8BF7vLq1avDgwefXfnW7du3Do8ff3u0d+v+dVSZSr/YSudKT2/X02oxBhwJtZzs0aOvr5zME7FdCSc4uARZ9Xr48IupNNVZQi3httR6IGmxIRr73O90YvISlkjLl6zjq06x/CkU69b9Ky/B7aWPfkvmJYItdmKuhFqOpd6vROvly5dXdbXe8dOnP13ltfxBAUP1DNOzZ79OwUTvSi0HkhYbYWiLEp/1n7VMCeYh7Y2gFVP0stSyf1kdan5X21YbJ50m0Npg5kqo1QsOnSms4r17Hx6NOMPfWvusjofqEyaNqsNef6uBxBZLSKxJpwmwyOY0my2/2GzVvFOvWbqwc9yqf21hU2pfiwEtLpgqxUjHER+JdStpEmqbnrIR5fzk5YByth6SRFpiPU8KJFbHVgMJPem5VU9/Z7HdaTZrf5FAy3ds2tvK0SyW8tUhVmrVv6w+Nb+3ulhqD6YtxYBJqHW9Nuzx7gGt1DFVz1NCbfktBhJ60staEKPqZbxitjZBPiXUlt+if8XUf+9tiAHLLNBSDJiEWgIVLqZaVt22tu5VqOlJL2+HLfWol9eu/B4IdXnm4RGJASGNuM+txIDhhLrHqW960nFOOd9KPWqN7lp9rOC8Pnt/Z+p7PwsQA9axb2VUPQn1fLHHuiq3sZdmD3pbTEZPen3bU4/688//ur4A9rwioKltdXxYTHaFpNgHHpG7HnULo+pJqK0nfGoxmRBoWiu8bWs9ln33VD3m1+Nbvj2LnvS29jTSqFp1zX1HgHxLPhYmbs8KaaT/bH+8IfuSlhNINarWgCnXHyBNQq2qnbs9y0bctmpzOYp69lBnQ73+Xh54wmh6e9saZVStIKL7a/XKFVDkVzzwZHubXFKCZoTUhknrCaQYVesRxdIWxeTU6UqoNW2l3rB6vzZyljBrqlgH1y1cvST1+BVMVC+9VGdbkao6Kq+FxGg6jZVGGlWLmAKJ/qBE72pDKZNih8UM86/5CLsV/0rJJVdZjKbTkE01qpY9JPq6RzvlDMeVUKu6cjL1iM3B9D4XMW2nEbZ+C8UtDa46SmklkDCaTtdeRhlVG7EwoOQaXdux5u+t+Nf8vGv8zmg6nVVSjKrtbDS6VmdYawdSdIaPhNoOMvq7AgkvGIzSBhRMSiUbAY7ClnoSR9TmtyaE2iEo56o9MZpOb6FRRtXhaPqXX35OD/JCifIvtV/SNgKMprfxy7W3FmxqNP3pp58kGU3rPBFqx1pzob70t5hOEVmzuDadB+8I16pTT8mtsYT8S4FM7ThcB6N8b9X4mmP0vo/NTKS8Dto7s9z1CzvAqe2CUDvWC4Xa7g09t0rcKSJrFqPpfHh7HlVLpLXiO3UQWWoN+ZddD7SnItp6F/vfgfkCtKXH6H17RtP1WVgLyFJdk57XDqGeE5mt+lbAuHTftVNEtixG09nQTgWPMKo+R1CCaZ3Sc9tt+U1CLc4aVf/Lv/yPi/ddbzlWj/symm7XquqIrumEItSOzcMRdcyTzJwismUxms6G9qpgXVvSiGXEpNsWSwi12H744f+cFm1eepLZiHY4V2dG0+fo1PubPcNjza3OCLVj11CoY54N7hSRJYvRdBasNwq1EYveR0oWSNb0+JdwMv9Sp9NG1+H+Or7ye3jAUlivFJ+tbe59+SJFXUYrwy7r2GWeJfVHqB1aFkj0k6a9Naqep1P58+1Sfmc09umzZQAAIABJREFUnZLm+bI0ahlpVG1BRG1fr5yjavMvE+T5sSx/TUA7b9X2fx2tXbZvsTc1UBs339L70lE1Qu20BAsk+umUIJ/Kd4pLkkVPOgnG6EKM90ijagmk2nXuZP5lgvzuu//96DYWy0eojy0xYps8JtD2t/kz75fUBqF2aFkg0U+1TH1zXcoxVOas0UYvWwLJElOYf9mfAdkKcCvDhJqpbyPy5n209nhc+/a/qROstr0mIdQONQsk+qmGxWT0pB0jFcgy7qUfsVmgau4hSiwk04HNvzRi1uf/+I//O60At9kL+xMg9yQHzbS2aIwGxdBstW39x9Ipb6swQm0kgncLJMpSD2g+HTj/W8xg1ywf6UlnwRpV6Cj/87s1kETBfLtR6F82ygjbeKmR/ZJz3nvbnu/v35ttiePbGhD52ZqEUDvUwkBiAcwWvGg6ToFEo48SSaM5nQ896RK0bx5jlJX2Ng197j/pb9JZlxP6l/xKvvSf//n/pnb+7//+f6b3tVOE686o7r3snnO1RVKbBLbOEiHUjt3DQKKfFTQUTJSvl4S61EKX+fU753TJykxghNX23sxRLqyhf6kjrMtL5lt6R6SPyRMDjnm0+G3rLBFC7Vg9DCTOz8Wy6EkXQ332QBrJ6PGAeth+r0kj2/klnlx1PeVfo8xeLOFqf/DAaHoJtfq21UDPu8039kwRaofUqUDibJo1S+Kg5zOT9ieggCl79BowbepbbT/39Pc5/7Lnke9v8TrOoPcOYh2U85+Fpr7V7td2hhFqx0bnAomzeZYsBSw5KakeAvpDC02Dk7YRuORfiNMbvmpranMkCCDUThu4FEicXZJmMQWYFGeywuxSBAv7tiG95F/GudfZixh6amP60xKxIEEAoXbawKVA4uySNEu3quiPIUj1EcA2220S419aQKVb40ZNI/8xzKg2P1dvhNqhExNInN2SZNloglFbEpzJC2G2YzvSGP9S+9d2ozxsJqRqMWDkGYWQB58PB4TaaQUxgcTZLUkW10GTYMxaiK0fIJCuwxzrX6Neo9U1ehaRrmtbve6FUDuWjQ0kzq6bskYNTJug7bQz97auB7/Ev9RxHUm0FAPUtkgQCAkg1CGNt5+XBBJn91VZ9gSyEaf6VgHbeSfstd4AS/zLpoFHuBREm1rfpnrfE6F2LLwkkDi7r8piynsVtl13YgZkHf6l/jXK89aJAeva0wh7IdSOlZcGEqeIRVkE/EW4qtp49NXJa4yxxr96F7FROiNr2gv7sJjMbQNrAolbUESmTe0x5R0Bq8JNuN91uVHW+FfP08IWA0aY3l/eWthDBBhRO+1gTSBxirmYpVXDPIXpIqbqN/jll5+nh1OwCjzOVGv9q8fV9mozerCJ2hAJAqcIINQOmbWBxCnqbJamTfUADVL7BDR1qelZ0mUCW/xL/tLTqmi1mZEf7HK5tbCFCCDUTjvYEkic4twsC+yMwlw8TWbS8Yoz2xb/kr/0Im7qdNC5i2szo2+FUDstYEsgcYq7kcVf191A0kWGichI9/2uMdxW/7J1AS3/7WiP0/hr2gL7xBFAqB1OWwOJU+RVlok0i8eukHT1QXbVNceWRSS3QVL4V8uciQG5W1h/5SPUjk1TBBKn2Om5xVo8hkh7dPrJa1lESlghlX9J8FRWS/6ESJdoYf0dA6F2bJoqkIRFE7xDGv1/xt6nbZzSv0z4dItT7cnOtaWORe1MRzk/hNqxdMpAouLNQVsIJg4OslYSQKx9cDn8S2XKz2pNFgMQ6VotVPd5IdSOfVIGEi0a0TVLHNQBPUCWibWePkd6QyClfxlTe2hIjQv5ZHtigFmK9zUEEGqHWopAohXAdvsFTxxyIA+UZavBP/30k4M+j55S+JfHUJ0irQGphbNsrXPRLVjY3bMYebEEEGqH1NZAot69AoaEGgd1AA+apXvn1S5GvwSy1b/ONR8Tx705WwzgYSbnrMVvsQQQaofU2kCiICHH5JGADlSyJgJ6VOTonbi1/rWkCdklp9KdZcUAHZMYsMRabHuJAELtEFoaSOScdh1KQq3vJAicIhB26NRuRmsvS/3rFMdL+brkZKKZmzMx4JI1+H0LAYTaoRcbSBQIbAStgMC1aAcmWScJhEKi9jPKgsNY/zoJbuEPmobW4101yk3NWTazzgAxYKFh2DyaAELtoDoVSNRrltNLnLVARFOY6qkj0A5EsqIJqP2oHak96aX2pSnyXkfap/wrGtjKDcXZOtZrOcsmso3KMXsRA1YahN2iCSDUDioFEjmfXlq1qd64nFL5+qz8UUY/Dh6yMhJQu1L7shGg2p0+qx1am2y9Y7iXUIdmsw632Op8NNqeczbeYQyw7YgBIU0+5yaAUDuEQ6FW71lO3XpwdKpJVgME1O7U/tQOTThab4s1CPXc9B5n400MmNPie2kCCLVDvMZA4pwmWRBokgD+1aTZOOkdCSDUDnwCiQOFLAgkIoB/JQJJMcMQQKgdUxNIHChkQSARAfwrEUiKGYYAQu2YmkDiQCELAokI4F+JQFLMMAQQasfUBBIHClkQSEQA/0oEkmKGIYBQO6YmkDhQyIJAIgL4VyKQFDMMAYTaMTWBxIFCFgQSEcC/EoGkmGEIINSOqQkkDhSyIJCIAP6VCCTFDEMAoXZMTSBxoJAFgUQE8K9EIClmGAIItWNqAokDhSwIJCKAfyUCSTHDEECoHVMTSBwoZEEgEQH8KxFIihmGAELtmJpA4kAhCwKJCOBfiUBSzDAEEGrH1AQSBwpZEEhEAP9KBJJihiGAUDumJpA4UMiCQCIC+FcikBQzDAGE2jE1gcSBQhYEEhHAvxKBpJhhCCDUjqkJJA4UsiCQiAD+lQgkxQxDAKF2TE0gcaCQBYFEBPCvRCApZhgCCLVjagKJA4UsCCQigH8lAkkxwxBAqB1TE0gcKGRBIBEB/CsRSIoZhgBC7ZiaQOJAIQsCiQjgX4lAUswwBBDqYUxNRSEAAQhAoEUCCHWLVuOcIQABCEBgGAII9TCmpqIQgAAEINAiAYS6RatxzhCAAAQgMAwBhHoYU1NRCEAAAhBokQBC3aLVOGcIQAACEBiGAEI9jKmpKAQgAAEItEgAoW7RapwzBCAAAQgMQwChHsbUVBQCEIAABFokgFC3aDXOGQIQgAAEhiGAUA9jaioKAQhAAAItEkCoW7Qa5wwBCEAAAsMQQKiHMTUVhQAEIACBFgkg1C1ajXOGAAQgAIFhCCDUw5iaikIAAhCAQIsEEOoWrcY5QwACEIDAMAQQ6mFMTUUhAAEIQKBFAgh1i1bjnCEAAQhAYBgCCPUwpqaiEIAABCDQIgGEukWrcc4QgAAEIDAMAYR6GFNTUQhAAAIQaJEAQt2i1ThnCEAAAhAYhgBCPYypqSgEIAABCLRIAKFu0WqcMwQgAAEIDEMAoR7G1FQUAhCAAARaJIBQt2g1zhkCEIAABIYhgFAPY2oqCgEIQAACLRJAqFu0GucMAQhAAALDEECohzE1FYUABCAAgRYJINQtWo1zhgAEIACBYQgg1MOYmopCAAIQgECLBBDqFq3GOUMAAhCAwDAEEOphTE1FIQABCECgRQIIdYtW45whAAEIQGAYAgj1MKamohCAAAQg0CIBhLpFq3HOEIAABCAwDAGEehhTU1EIlCfw8OEXh3fe+dP0unPn/cOTJz+UPwmOCIHGCQwj1Pfvf3wVMJ4+/Wky26NHX095+o0EAQikJSC/unfvw8OrV6+mgh8//nbyt2fPfk17IEqDQOcEhhFq2fHly5eH27dvTcFDIk3vvvPWTfV2I6DOsEbSz5//fnUO8j/lSbBJEIBAPIGhhFpYbCpOQk2CAATKEJA4m+/ZjFaZI3MUCLRPYDihtp4+waL9xksN6iWg2SrNXmkELYFWx9guP2lkTYIABOIJDCvUjKjjGwlbQmAJAU13e1PcEmyJNwkCEFhGYCih1qIWW+CiRS4kCEAgPQFbNBZen5bvSaRZuJmeNyX2T2AooVaQUPDQaNoWujx48Fn/VqaGEChIwEbUNmulqW6b9sbfChqCQ3VDYAih1uhZwmy3hdjqU+V718tev37djYGpCAT2IKBr1PI5vTSS1ihb/uaNqPG3PSzEMVsiMIRQLzWIgsunn36ydDe2hwAEFhL46qsvJzFfuBubQ2AoAgj1zNzffPO3KXDcuvXu4Zdffp79ylcIQCAVgd9+++0gP1PHWH5HggAEfAIIdcDljz/+cRU4JNLvvffnA9NyASA+QiARAfmV/Ov777+bhFpi/eLFi0SlUwwE+iKAUAf2/Oijv0w9ewUNJX3X1BwJAhBIS0AjaPmXko2o7XvaI1EaBNongFC/teGPP/79agRtQm0jbE3RkSAAgTQENHKWj8m/lMzf7t79YBphpzkKpUCgHwII9VtbqjdvgmyBQz9pao6FZf00eGqyPwHNUoXXpM3f5H+aDidBAALHBBDqYx7TNwsczk9kQQACiQngb4mBUlx3BBBqx6QEDgcKWRDIRAB/ywSWYrshgFA7piRwOFDIgkAmAvhbJrAU2w0BhNoxJYHDgUIWBDIRwN8ygaXYbggg1I4pCRwOFLIgkIkA/pYJLMV2QwChdkxJ4HCgkAWBTATwt0xgKbYbAgi1Y0oChwOFLAhkIoC/ZQJLsd0QQKgdUxI4HChkQSATAfwtE1iK7YYAQu2YksDhQCELApkI4G+ZwFJsNwQQaseUBA4HClkQyEQAf8sElmK7IYBQO6YkcDhQyIJAJgL4WyawFNsNAYTaMSWBw4FCFgQyEcDfMoGl2G4IINSOKQkcDhSyIJCJAP6WCSzFdkMAoXZMSeBwoJAFgUwE8LdMYCm2GwIItWNKBQ79Fd/nn/91+js+/SXfL7/8fND/6JIgUIrA69evp79e1V+tqg3qpb9j1X+n95QQ6nXW1P95669BrW0oZql96GV/JarftI399/e6I7HX3gQQascCChwSZQVEcwL9J7X+2F6/yREUPGn8DjyyNhFQh1AdRP0v861b7w4RdBHquCajjptikmKR2obaiGKRxSjFJImyXvPOnbUn7asyVBapHQIItWOrS4FDjqAeqxq/xJuG70AkK5qAOnwSZwVfBdLROoGX/C0aZKcbqvNm4qx2ou9rhFb7WEfQ2pq+k+ongFA7NloSOCTaFmTVs13jQM4pkDUAAc3aaESkDp/azqgzNEv8bYBmcVVFDQDCwcDVD4k+qHwNNHQMfSbVSwChdmyzJnDYqEiNnl6qA5WsKwLqzFnnTqPn0dMaf+uZmXXg1InTQCB30jEk2Doe63By015XPkLtcNsSOKzRa6qK0bUDd/AsdeI07ahLJ7SPN41hi7/11pw0s6L2sccIV8fUsXUOpLoIINSOPVIEDnO4Ej1ipwpkVUhAo2jNuNAmjo2Twt+OS2zvm2bkNKrdu4OvzqNG1jqXUS/F1Nh6EGrHKqkChwKyeqhMbzqQB8pS8KshCNeKPJW/1Vq/S+dVY5xQzFLsolN5yXplfkeoHc4pA4f1lDWaIo1HQNf8mE48b/eU/nb+SPX9atPNNQqidSD2mIavz1L7nhFC7fBPHThsRIVYO7A7zjKRJtCdN3Jqfzt/tHp+NZGueQEXbbiO9oJQO3bIETgQawd0x1kEuHjj5vC3+KPvs2ULIm1kaMtGYr93hNphnytwINYO7A6zCGzLjJrL35adRbmtWxJpo0KbNhL7vCPUDvecgQOxdoB3lCX76po0093xRs3pb/FnUWbLFkXayJhY85wII1LuHaF2WOcOHArmPA3IAd94lnXCdI80KZ5Abn+LP5O8W5rQ6b3VZAvMWq5Di+wRasdqJQKHOW2Nqz0dJGRFENA9sHqRlhEo4W/Lzij91j3NtGhWQAMN1YlUhgBC7XAuFThsGowG7xihsSw94Eb3SmPL5YYr5W/LzyzdHnqISE93faguqhOpDAGE2uFcMnBompQG7xihoSymA7cZq6S/bTvTdXtbJ27d3vXupY4pjxstYx+E2uFcOnDQ4B0jNJKlETTrDbYZq7S/bTvbZXtbJ67Hx3GqTjy9bFl7WLs1Qu2QKx04uF7tGKGRLK5LbzdUaX/bfsZxJagT1/sdAFyvjmsLW7dCqB2CewQOPVuXBRqOMSrOsn/C4rr0NiPt4W/bzjhu71E6caPUM87qebZCqB2uewUOXavm1h7HIBVm2WiJe0q3G2cvf9t+5qdLGKkThy+cbgepfkGoHZJ7BQ6u+TjGqDSLUUQ6w+zlb+lqcFzSiMKljgkzgsftIOU3hNqhuWfg6HWFqIO52SxbIMSUdxoT7ulvaWpwXMqod3IwI3jcDlJ+Q6gdmnsHDlaBO0apJEvizCrvtMbY299S1sY6cT2u8r7ESXWWLXlq2SVSy39HqB1meweOkZ3dMUdVWZrx4L73tCbZ299S1mb0Tjb+kbI1XZeFUF+zuPpUQ+DQk396epLRFdyGPzBiyGO8GvwtRc3sVqUUZbVaBjNOeSyHUDtcawgcLCxzDLNzlhaQ0XlKb4Qa/G1rrUZcQHaK2Ugr3k8xSJ2PUDtEawkcTCM5xtkpyy5HsIAsvQFq8bctNcNXj+np8pCYkNIQQKgdjrUEDqaRHOPslDX6tcec2Gvxt7V15JLITXLq2MquYkPaTmBIoX7y5IfDnTvvTw1Jjen+/Y8Pz5//fkWzpsDBda8rs+z2wWzAaDqPCWrytzU1ZD2JTw0uPpc1uZNQP33605VoyWnC16NHX68pt9p9JMiq38OHX0zn+OrVq0moJdyWagscuh2IaSSzTvl3bsdaz/xSp1gl1+ZvS2rLyPE0LWYaTrNZ+suRUEuwwyRRu3fvw+kV5rf8+fHjbw+3b986qsKzZ79OwULvSrUFDq6PHpmr6Bd7BnvRg3ZysJhOsapam78twc+12PO0Rn34y3kqy389K9Qq7uXLl5Ow9TKyfvDgsxsdD42qFSwk4ko1Bg4CwvLGvXUPVvJuIxjTKa7V32JqTgf6MiXzIbEirSdwUahVtKaJw6nh9Yfbf0/NEEis50mjbOuM1CjUBIW5xfJ/ZyXvNsYxnWIdoUZ/i6k5necYSofpsp1YkdYTiBJq9YzlTBpdt54kyKeE2vJrDRwEhnKtj5HAdtYxnWIdpVZ/O0eAjvM5Ose/4UvHPNZ8ixJqLQiRM4Uro9ccrIZ9WhZqBQfZgVse8rckRtPbGcf4mo7SolCzwHNZ+5A/6RZH0joCwwl1TC+/5sChUTVPx1rX2GP3YgQQS+r8dr0KtW7Xu3Xr3YPaCSmOgPmU2JGWE4gS6p6mvmOum9Us1IyqlzfypXswml5KzN8+plOsPWv2N69mjKY9Kpfz5FdiR1pOIEqoJW69LCaLWYlae+DgQQLLG3rsHtbzV4eox1TysklMp1iMa/e3sB3w8JuQxrLP5lujjKpT+tpFobbbsyRwPSTVR4GhpQeezLnbgwRSNoT5MUb93vNoWu1FU7a6t7XEtG1Mp1jtrCWh5uE32yLDSKNqtRX9kU+KOH1WqPUAFE1f6RGbPSUFkFYeIXqKO6PqU2TW51uPv9fRtMgoaGidg4JI7nrGdIp1Tq0ItY2m17cw9jQfG2FUrbqqU6zOsR6ctCUdCbUcJnxpMYjdWxweRHnarodV4GG97HMLgUMBV+eZordm9R79vefR9Ny29leE6vHnHF1f6hTrvFrwN50no+l5K1r3faRRtQipQ6wV7+ogv3jxYhW0SahX7dnxTgocvGAwShtQj3/PNApn6klMURtY0zFGqJ0IJZgtJEbV6aw00mha1NSzVw9fPf3cU+CXrNSCvzGavmTFZb+PNKqWMGvmSh1izWStSQi1Q20eOGL+AcgppkgW16q3Y5YjyYn2FqztNYkrQUFSbVzvNaS5v9VwTuE5cG06pJHms/lc79eqVT/Flq2XmBBqp92FgSP2H4CcYopkMarejnmU0bTaikaGGknXtLZh7m9avKo8vbSYVR3lPROj6Tz0ex9Vp1y0iVA7bTAMHLG3mDjFFMtiVL0etfXsRxhNq66XRjD6Jznd/1zyuf6hv+luDAm1zkNJt1Hq970WrjKaXu9bl/ZUe+y5E6S2ozqeS9KXmI4oQu1QDANH7EMbnGKKZTGqXo9anRz1fElvCOzxT3nmb/P/hTeb6O4TBbQ9Us9CsgfP+TFH7gjZf2jEdIoR6nnLmd0uEvsYRKeYolmMqpfjtg7OCKPpWDoa0apzWjKZUEuM9dlG03YOp3zQfs/1PrKI5GLqlTtqZ0idYnVCYxJC7VCywKGfYv9YwCmmaJaJTk3XHosCWHEwRtPX0OzhJGr7epV8ZLD5m57P4AUub1br+szzfRpVQPIR9UsesUMUPnBL7f/SqBqhdtqOBQ791IpQ61wZVTvGPJFlHZu1DyA4UWzT2aemnnNXyvxNgnxKqL38nOc1onjk5Hmp7BE7RWrTsZd0EGqnBVng0E+npt0E2Xtqm1NcsSwTH0bVl5HTqbnJSEGjtCDqLMzfahLqEYXjZosolzNax2hppxihdtqiBQ795E276RqatontDTmHyJYlAdI9e6TTBOjQ+Gz2WEimMzF/q2XqW89lllCTyhIYqXO0ZCGZrIBQO23RAod+8kYZS3tDziGyZUmERnp4xxqQjKZ9arpuJrEunczf5Gv67C0mK/XHQHa73tonSJVm19PxNKpW7Lp0S1MPdV7aKUaoHatb4NBPtsjGApiCiIJGycU2zimezRrlAR5nIZz4USu8ZV8uDxwD2nOWyPztVAd4ybW841ot/4bvLGeWcg/dKikb9J50SXVJ5xOhdlqEBQ77ST39cJWeAO/1AAY7p3PvNirgtqOblEYJBDdrfj7nlEie3yvNr6G/yc/kXzaqVgdZv5fwN/wmjT23lKKYNcKoemnnE6F2WlUYOJyfm8jiOttNM40SBG7W/HKOXTMrIYjzswn97enTnyahVp5eEu6YJzfNy1zzXZdEePjNGnJp95ENZItek83SLlnjhFA7rSEMHM7PzWSNtDgjxijisfUP3GOO0+I2Ch42a7QkgKSoaw3+xgLDFJZMU8YIttCskdp97PQ3Qu20rRoCh3Nai7O0IGaEaaQYMMwwxFDaZ5sa/E2juK+++nIfABz1BgHZgtmNaywI9TWLq081BI6rk9n4gQB0mFaRshJ+Y0PKuPve/sYlkYzGXVk06wWOwSHUxzymb3sHDueUVmfpyVuqz8irnOmdr24+RXbc29+4JFLEzIsPwizYNTKE+prF1ae9A8fViST6MLJQ0VFJ1IgyFrOnv+lWoLt3P8hYO4reQkC2GeF2rUuMEGqH0J6BwzmdzVmaRhp1YRmOvrn5ZC9gL3+zRUs87z27iVcfwC5LjDwjKHgItdOE9goczqkkyxpxYRlTZ8maT9aC9vI31m9kNWuywkeeETSICLWRCN73ChzBKWT5qGeAj/IccPXAWUCWpRklL3QPf7NOnGabSHUTsBlB2WzUhFA7lt8jcDinkTzLVlKO8BxjRkvJm0+2Akv7G524bKbMVvDoU+AItdO0SgcO5xSyZY0wBa6et65NM1rK1oySFlza3+jEJTVfscJGngJHqJ1mVjpwOKeQNavnv8K0Vd4sEMrahJIWXtLf6MQlNV3RwtTxVgd8xClwhNppaiUDh3P47Fm9XvMZ2ZGzN5qMByjlb3TiMhqxUNGj2hChdhpYqcDhHLpYlhq8Flv1NPLseaagWMPY4UAl/M06p/rPY1LbBDSi1u2msukoCaF2LF0icDiHLZ7V0x+1M6VZvPkkO2AJf9N16Z7/kSmZMRopSLaUTUdJCLVj6RKBwznsLllaoNH6witbINfT7MAujWGng+b2NwV1tXFSPwTsMtconS+E2mm7uQOHc8hds3RvdasN3qbwdfsGqU0COf1Ns0ajTZO22QqWn/VIlzMQaqd95AwczuF2z2q1d2oizXXH3ZvQphPI5W92aYeZlk3mqXrnUWIAQu00w1yBwzlUNVmtifUoDlpNA8l4Ijn8DZHOaLDKih4hFiDUTqPLETicw1SX1YpYj+CY1TWOjCeU2t8Q6YzGqrTo3mMCQu00vNSBwzlEtVkm1rpurc+1JXuUINPdtVlm/fmk9Df9JWJvtx2uJzvWnibWPf4tJkLttOWUgcMpvoksWylb09/L6RYs/mijieaz6CRT+Js6ldZma+xgLgLCxqsJ2EBDbaGndoBQO00iReBwim0uy4Rx7z/xkMNphK9bbNRrJvVFYKu/qU2obfQWnPuycrnaKF5Yp62XeIFQO+1na+Bwimw2Sw1dt7fsNRVu90jrfu+eesjNNogMJ77F32yqm0shGQzTeJG2VqGHqXCE2mmMWwKHU1zzWRJIC4h6LyGY6iDoyUPqJHCPdPNN6GwF1vibgrB1IGu6PHO2ovxYnIDahgYZaistd+YQaqfprAkcTjHdZanRa0pJ14lzCbZEWY6lY2jqndQ/gSX+ZgKtThwduP7bRqoaqq1Yx79FwUaonZawJHA4u3efFQq2RFUNf8soW6NnibJ6va33fLs3foYKXvI3Xf6wDqLaGwKdwQiDFBkOBNSm9l5/E4sdoXZIXQoczi5DZkmcJdI2ArYFPRptyyFOvbSPtgn30zXoXhZ+DNkYNlRa/ha2FXXa1B40AtJvelceU9wbILPrEQG1JbWpsI2pzSkvbIu1xCSE+sh8b74g1A6UiCw1ahNhOcCpl3qyEmr1ZreMxCNOiU0aIGBibO0lDJgNnD6n2AEBibNiknUQw7ZYQ/UQascKCLUDhSwIZCKAv2UCS7HdEECoHVMSOBwoZEEgEwH8LRNYiu2GAELtmJLA4UAhCwKZCOBvmcBSbDcEEGrHlAQOBwpZEMhEAH/LBJZiuyGAUDumJHA4UMiCQCYC+FsmsBTbDQGE2jElgcOBQhYEMhHA3zKBpdhuCCDUjikJHA4UsiCQiQD+lgksxXZDAKF2TEngcKCQBYFMBPC3TGApthsCCLVjSgKHA4UsCGR+Ec4QAAABSUlEQVQigL9lAkux3RBAqB1TEjgcKGRBIBMB/C0TWIrthgBC7ZiSwOFAIQsCmQjgb5nAUmw3BBBqx5QEDgcKWRDIRAB/ywSWYrshgFA7piRwOFDIgkAmAvhbJrAU2w0BhNoxJYHDgUIWBDIRwN8ygaXYbggg1I4pCRwOFLIgkIkA/pYJLMV2QwChdkxJ4HCgkAWBTATwt0xgKbYbAgi1Y0oChwOFLAhkIoC/ZQJLsd0QQKgdUxI4HChkQSATAfwtE1iK7YYAQu2YksDhQCELApkI4G+ZwFJsNwQQaseUBA4HClkQyEQAf8sElmK7IYBQO6YkcDhQyIJAJgL4WyawFNsNAYS6G1NSEQhAAAIQ6JEAQt2jVakTBCAAAQh0QwCh7saUVAQCEIAABHokgFD3aFXqBAEIQAAC3RBAqLsxJRWBAAQgAIEeCfx/6C+ARCJ8axYAAAAASUVORK5CYII="></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>Two wave pulses, each of amplitude <em>A</em>, approach each other. They then superpose before continuing in their original directions. What is the total amplitude during superposition and the amplitudes of the individual pulses after superposition?</p>
<p><img src="data:image/png;base64,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"></p>
<p><img 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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The air in a pipe, open at both ends, vibrates in the second harmonic mode.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>What is the phase difference between the motion of a particle at P and the motion of a particle at Q?</p>
<p>A. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></p>
<p>B. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi mathvariant="normal">π</mi><mn>2</mn></mfrac></math></p>
<p>C. <math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">π</mi></math></p>
<p>D. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mi mathvariant="normal">π</mi></math></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p><span style="background-color: #ffffff;">A pipe is open at both ends. What is correct about a standing wave formed in the air of the pipe?</span></p>
<p>A. The sum of the number of nodes plus the number of antinodes is an odd number.</p>
<p><span style="background-color: #ffffff;">B. The sum of the number of nodes plus the number of antinodes is an even number.<br></span></p>
<p><span style="background-color: #ffffff;">C. There is always a central node.<br></span></p>
<p><span style="background-color: #ffffff;">D. There is always a central antinode.</span></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A particle is moving in a straight line with an acceleration proportional to its displacement and opposite to its direction. What are the velocity and the acceleration of the particle when it is at its maximum displacement?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A particle undergoes simple harmonic motion of amplitude <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>x</mi><mn>0</mn></msub></math> and frequency <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi></math>. What is the average speed of the particle during one oscillation?</p>
<p><br>A. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></p>
<p>B. <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo> </mo><msub><mi>x</mi><mn>0</mn></msub></math></p>
<p>C. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mi>f</mi><mo> </mo><msub><mi>x</mi><mn>0</mn></msub></math></p>
<p>D. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mi>f</mi><mo> </mo><msub><mi>x</mi><mn>0</mn></msub></math></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>D</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The refractive index for light travelling from medium X to medium Y is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{4}{3}">
<mfrac>
<mn>4</mn>
<mn>3</mn>
</mfrac>
</math></span>. The refractive index for light travelling from medium Y to medium Z is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{3}{5}">
<mfrac>
<mn>3</mn>
<mn>5</mn>
</mfrac>
</math></span>. What is the refractive index for light travelling from medium X to medium Z?</p>
<p>A. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{4}{5}">
<mfrac>
<mn>4</mn>
<mn>5</mn>
</mfrac>
</math></span></p>
<p>B. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{15}{12}">
<mfrac>
<mn>15</mn>
<mn>12</mn>
</mfrac>
</math></span></p>
<p>C. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{5}{4}">
<mfrac>
<mn>5</mn>
<mn>4</mn>
</mfrac>
</math></span></p>
<p>D. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{29}{15}">
<mfrac>
<mn>29</mn>
<mn>15</mn>
</mfrac>
</math></span></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>The graph shows the variation with distance <em>x</em> of the displacement of the particles of a medium in which a longitudinal wave is travelling from left to right. Displacements to the right of equilibrium positions are positive.</p>
<p><img src="data:image/png;base64,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"></p>
<p>Which point is at the centre of a compression?</p>
<p>A. <em>x</em> = 0</p>
<p>B. <em>x</em> = 1 m</p>
<p>C. <em>x</em> = 2 m</p>
<p>D. <em>x</em> = 3 m</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A light source of power <em>P</em> is observed from a distance<em> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></em>. The power of the source is then halved.</p>
<p>At what distance from the source will the intensity be the same as before?</p>
<p>A. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>d</mi><msqrt><mn>2</mn></msqrt></mfrac></math></p>
<p>B. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>d</mi><mn>2</mn></mfrac></math></p>
<p>C. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>d</mi><mn>4</mn></mfrac></math></p>
<p>D. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>d</mi><mn>8</mn></mfrac></math></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>SL candidate responses were divided across options A, B and C, and so this question would be a useful teaching tool for exploring the relationship between power, intensity and distance.</p>
</div>
<br><hr><br><div class="question">
<p><span style="background-color:#ffffff;">The graph shows the variation of the displacement of a wave with distance along the wave.<br></span></p>
<p><span style="background-color:#ffffff;">The wave speed is 0.50 m s<sup>-1</sup>.</span></p>
<p><span style="background-color:#ffffff;"><img 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"></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">What is the period of the wave?<br></span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">A. 0.33 s<br></span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">B. 1.5 s<br></span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">C. 3.0 s<br></span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">D. 6.0 s</span></span></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p><span style="background-color:#ffffff;">Object P moves vertically with simple harmonic motion (shm). Object Q moves in a vertical circle with a uniform speed. P and Q have the same time period <em>T</em>. When P is at the top of its motion, Q is at the bottom of its motion.</span></p>
<p><span style="background-color:#ffffff;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPoAAADNCAYAAACRk20oAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABW+SURBVHhe7d0NcM3nngfwn+zsnTbrulEUaavYIjVaFUnKlMpV15KhMZQpqxXXy+y4WLTCKhNmw9TLXB2xxoQadTO09TJMe72VtBnaGlL0VhGrpLjBEMLNTWfZlc338fwjL+ckJyfn//79zGRy/v+mWifn+3/en6dJeQUhIk+L0t+JyMMYdCIf0EEvle9W/FaaNGlS+yt2nKz44lzFTxCRW1Uv0f95ueTfLxc02x9+3ZGC1U/JnweOkf/Mval/iIjcpp6qezPpPOxteWtgkfxp31/krr5LRO7CNjqRD9QT9Ltybucm+dP+eJk1Kr6ifCciN6oe9J9mS8I/Vu2M+410yfo/eevgH+XfesboHyIit6mnM67i68ul8vv+naWp/hEich+20Yl8gEEn8gEGncgHGHQiH+DqNSIfYIlO5AMMOpEPMOhEPsCgE/kAg07kA5W97h9//LHs2LFD7t+/Lz179pR33nlHHn/8cfVDRORuKuibNm2Sd999V27cuKFviwwdOlQ++eQThp3IA1TQsVKtpjZt2si2bdvklVde0XeIyK2CBh22b98uw4cP11dEDffLL7/I5cuXVW3x+vXrUlRUJJcuXVL/7Ny5c7Jr1y71uj6JiYmSnJysXsfExEhcXJw0bdpU2rdvLy1btpQnnnhC/TMKTAW9Y8eOcvHiRX3rIbyZX375pbz00kv6DlHdbt26JWfOnJGffvpJTp06JV999ZUcO3ZMZs+eXRlO6Natm/oeHR0tTz/9tHpdH/zZN28+3LewsLBQSktLKx8aVf877dq1k86dO6sHAL7TQyroubm58uabb1a20VFt7927t+qcIwoG4cvPz1dfO3fuVPdQ6vbq1UtQeCB0VpW0Rs0BD5izZ8/K0aNHVW0B4cf/T1JSUsgPFS9SQceLkydPCjrlVq5cqdrmKSkp7IijWlDdPnLkiCoEEKTFixdLQkKCdO3a1XFBMmoYJ06ckAMHDqgawNtvvy09evSQ+Ph4X32+K4NuQHu9xi3yuStXrghqfatXr5bY2FjVb/Piiy+6rlmHvwdK+j179sj69evVQwoFmh+apww6BYSq8KFDh2TNmjWVJeGwYcM8U/01mh3G32/q1KkyZMgQz3bqMehUDUo9tLenTZum2repqameH2L1w9+ZQScFbW9UZ9GDjdJ7zJgxvhuyqlqLAYTeK4Fn0H2uasDnzp0rgwcPZidsha+//lqWL1+uXnsh8Ay6TzHgofFK4Bl0n0En1Nq1a1WblAEPnRH4Vq1aqcC7bTIOl6n6CMa+Bw0aJM2aNZO9e/eqYTKGPDQoyfFwxINx7NixsmTJEvXQdAsG3QdQTcfQGMaPc3Jy1FAS54aHBw9HPCQBD839+/er107HqruHoRd569ataqILqulcoBRZeICmp6erajzeXyc/PFmiexTGhkePHq2Gi4xqOkUWAr5lyxa1SMfppTtLdA9CW3zEiBFcZmwhlO5ou6OJNHPmTMf1fbBE9xBU1VGVxOIkrORiyK2D0j0vL09KSkpUTQo1Kidh0D3CqKpj3Teqk35ekmkXlOLLli1TMwufeeYZNSTnFAy6B+ADhdIbH7B58+ZxyMxm+F1gaSyq8OgIdQK20V0OHUDz589X+wh4bSGG26GWtWjRIunQoYPt7XYG3cVQWqA9js43VtWdCf0m06dPV69XrVplW9hZdXcphPz7779nyB0OwUbAu3fvrgJv12w6Bt1lUEJg+iVCjg8QQ+58CDtmIyLsGG+3o0eeVXcXcUo1kMJnV3OLJbqLZGRkqO8MuXuhZMfoCHrmrSzZWaK7hNEmZ8i9werfJ0t0F2DIvcdos6MphiaZ2ViiOxzacu+//75amMKlpd6DKcu3b9+WdevW6TvmYInuYJjxhpAj7Ay5N2FCDaDWZiaW6A6Fjhp02GRnZ/P8O4/D2DqG3TIzM2XgwIH6bmQx6A6ENlu/fv24WYSP4MGOhTAFBQWm7EfHqrsDYRgN65oZcv/AmPrhw4fVmnYzZs8x6A6D9jg2McAiCPIXLErCGPucOXP0nchh1d1BEPAuXbqoTSM4tdWfjNmP2G02kjU6Bt0h8AvGxhFTpkwxrUOG3MGM9jqr7g6B3VrxS2XICbU57PeHMfZITaapFnS37FHtNaiyYxwVvexEgGo7ToVBARAJlVV3Yyzv2LFjsm/fPpYsFmGVnYIxqvCR6LOpLNExA8soUbA1kZuOm3EznJ7CKjsFYlThjdlzjaGCfvLkSVV9RE8fIPAIPpkLD1Psv26sMSeqCZm8ceNG45vVZWVl5YmJieUFBQWoxaMar76npqaWnzhxQr0mc8yePbs8KytLXxEFhhwio8hquKJwZA9K8Jrd+Nifevfu3fqKIg01KJxNPmHCBH2HKDCsdUhOTlbNvHBxHN0mkyZNivikCPIuo2OuuLg4rJWMHEe3AZafot1l9IkQ1QcdcxXNPNm8ebO+0zAs0W2ABSsV7XMeuEANgs7bFi1ahFWqs0S3mHEeF0NODYVwh1uqs0S3GNrmI0eO5Lg5hSXcUp0luoXQ045NHvv27avvEDUMwr148WI1YtMQDLqFtm3bpoYyuZMrNcYbb7yhJrQ1ZMELq+4WaUxHClFNaAKmpaWF3NfDEt0iqGqhysWQUyQg5Bs3btRX9WPQLYLztlJSUvQVUePEx8er/h5MpAkFg24BLBoCbttMkYJ+Huwvl5ubq+/UjUG3AHb35FTX+mFUAl9cIh0aDNGGevADg24BVNv79++vrygQhHv9+vXqCxugoFMYMwhxFjyWaDL8tWEhWmxsbGWNsS7sdTcZfgkLFy6UnTt36jsUKrQ/f/75Z8nLy1PvHw4lbEhPsx+gELl79646tLEuDLrJULVq1qyZak9R+DBmfPz4cdXTjAVBXCvwEB6GCHl9BQmDbrKkpCR1KAP3aY8co5aEqit25/H7exvKZ4xtdBMZQx8MeWRh9AIlWK9evVQnp7FQyK9QWzx69Ki+CoxBNxHefFbZzYOQ5+TkqOOr0Fb1qx49esiRI0f0VWAMuonw5uOXQOZB9R3VVnyZfca4U2HyzPLly/VVYGyjmwjvJee2WwOddX4+ahpz39FBWXPvRwNLdJNg4kdqaipDbhHMFEOpjlVdoYwrew2GHk+dOqWvamPQTVJYWKh6Q8k66PTMzs6WyZMnR+zMMreor53OoJsEJXpCQoK+IqugRx4z6lauXKnv+MOzzz5b52YUDLpJsLKoffv2+oqshF54DL/hYesXqM3g3MRgU4UZdJNgzjb24Sbrob2OTjn8DvwEnXE3b97UV9Ux6CbARBl0xHHLKPtgz3xUZUNdr+0F7dq1C9ohx6CbAE/VYMMcZA08ZDEHPNT12l6AlWxFRUX6qjoG3QQXLlyQbt266SuyC5YGY8jNL/CZu3Tpkr6qjkE3QWlpqTRt2lRfkV3QQYUSzk/V92AdkAy6CdBO6tixo74iO2Go7fTp0/rK29Bc3LVrl76qjkE3SXR0tH5FdoqLi5Nr167pK/9i0E2A3l4G3RnQbq1raqjXTJw4MWD1nUE3ASYucA062aF58+b6VXUMOnkaalZ+miEXDINOnhdsbNmrysrK9KtHGPQI47bEzoIPfXJysr7yPvRJYB5HTQx6hGFWHOYcE9kh2PwNBp08DfsCxMTE6Cv/YtDJ0zCGjrF0v2PQydMOHTrEdQcVGPQI43COc6BjFBuAcCUhgx5xmCgTbL4xWSs/P993++qfPXs2YIccg06etWbNGunTp4++8oeSkpKAW5gx6ORJxjFN2CySGHTT+G27YTthF5maa85xcgnnMzzCoJsAK4guX76sr8hMeKCOHz9eHaFshB27yrRq1cqXxypj5WTLli311SMMugmCrSCiyPv222/l3r17agul1157Tc6fP69Oa8nIyNA/4S9YORnodCAG3QSYiYUZWWS+Dz74oHJjCQxrIuyzZs3y5TLhutZZMOgmwEws7BtH5kJVveYxRCjZP/30U33lL3Wts2DQTYBxTIxnkrk2btwoN27c0FePHD58WDIzM/WVf+C9CDavn0E3AcYxL168qK/ILBs2bNCvqsMHfsGCBbJp0yZ9xx+uX78edF4/g24CHMXkt+OArIZx8jt37uirR9q0aSO9e/dWhyxiX3c/QTOmdevW+qo6Bt0EOCUkMTHRV/uJWw2z3tD59OSTT0qHDh3UqSyosv/444/yzTffyIwZM3zXIYfOSAwrBtKkvIJ+rTRp0kRq3KIwpKeny5gxYzgzyySomnfq1EmV2tyI8+F8AiyoCpZdBt0kmLSBnne/Laoge6A0x2zAdevW6TvVsepuEpzU4qf9xMle+Kx1795dX9XGoJsER9jiCUtkBXTE9ejRQ1/VxqCbBNMQcUY6N6EgK2CO+/PPP6+vamPQTTRgwABW38l0KExwNnqgOe4GBt1EqErt2bNHXxGZA4UJCpW6MOgmio+PVxNnuDadzITCpK72OXB4zWSTJk2StLQ0X66NJvMZ4+c4kQYTtYJhiW6ykSNHSl5enr4iiqzjx4+rFWt1hRxYopsM0zRbtGhR7xOXKBxLliyRhIQEGThwoL4TGINuAVbfyQxGtb24uLjOHndg1d0CrL6TGXAKzeLFi+sNObBEt4BRfQ/lyUsUqobUFFmiWwDhxpMXs5eIIgFLoHHcFIZwQ8GgWyQlJcV3O56QeXbu3KlWRobawcugW8RYl37y5En1nShc6ISbNm2a2u8gVAy6hfAE3rx5s74iCg9mwmHsvCH9PQy6hQYPHqza6VzRRo2BJmBDSnNg0C2E9hT2Ntu2bZu+Q9Qw4R4eyeE1i3GojRpj2LBhqtre0MlXLNEthnBnZWXJ2rVr9R2i0BileTgzLBl0G6B9heERttUpVOhpb8xR0FEYeA+0/zj+YA4FmQOl+ty5c3nIA4UMPe2NOQo6Cquq0EGEYFe1detWtSE+mcPogefDlOqDbOIo6HBLc4jq3LmzJCUlqWAbUKVcvXq1TJgwQd+hSEMPPI4NWrhwYa2HLFFVH374oeqEQ1bDhl73ilK9PDExsbygoADd7eUTJ04s37dvH/4RmQzv9fbt2/UVUXXIJLJZXFys74RHdcYZpYuxD3nz5s3rXchOkYHq2IgRI+o8xJ78C5lEf05jh2Ire93RyEfAAX8wWQPVsY8++ki1wYiqwrFeMHz4cPW9MapNmEFbsa6D2sgceN9Hjx4tU6ZMYU2KFIyE4fjtiqp749rmGmfGOQQ6QMeOHaue4jwdlLCpRN++fSN2SCcnzDgEntoY5ly0aJG+Q35l7FsQyZN4GXQHMX6x3KDCvzCvAkPbGRkZ+k5ksOruMGibofMlOzu7wSuUyN0w8jJo0CA1AhbuDLhgWKI7DNrn+EVPnjw54NRk8iZ0yM6ZM0fV6iIdcmDQHQi/aKO9zllz/oDZb2DWbFRW3R0sPT1dfV+2bJn6Tt60f/9+mT9/vuzdu9e0PQpYojsYSvTbt2+rzhnyJqwxR8gxrGrmRiQs0R3O6KBBVT6Swy1kP2NSDFaJmtEur4olusPhKY+nPUp1Y4cRcj9jdMWKkAOD7gLoiUfYZ86cybB7gBFyM4bRgmHQXYJh9wYj5GiKWRVyYNBdhGF3NyPk6Guxur+FnXEuZHxgMjMzudrNJeyorlfFoLtU1dIB1UByLtS++vTpY1nHWyCsuruUUY3H0blLlizhDDqHwmQYNLXsDDmwRHc5BHz69Onq9dKlS02ddEENgyFRrETEAxkPZjuxRHc57Pe3bt066d69u5pYw0Mh7IeHLzaOQG0L01rtDjkw6B6Bdjo657p06aJKELIHHrT9+vVTD95Vq1Y5pobFqrvHoJMOoceONZgrjxKfrIEHLHb03bdvn+NGQ1iiewyqiVu2bJGYmBhVsvAkGPPh4YqqOo5Nunz5siOHPFmiexiGddDji1M+8J2le+ShFMdW3ahFjRw50rHvMUt0D8NwDjqDSkpKVOnO2XSRY5Ti6FXPyclR8xmc/CBlie4TqMJje6rk5GQ1HOeEnmA3Qo86zikcN26cbN++XR2W6YaaEkt0n8BGk3l5edKtWze1BhpjvJxk0zCY/IKa0alTp6S4uFjNTHRLc4glug9hMwu0K3FsM47fckupZBc0eYxzCbGtVyROTrEag+5jGPNdv349Ax9E1YDjMEw7p7A2FoNO1QKP3uMhQ4b4diotmjPHjx/3TMANDDpVQuDRDp02bZpkZWWp8WA3VlPDgebM559/rvouMKstLS3NEwE3MOhUCz70KN3Rjo+NjVVDR+it91opb5Teu3btUiW4lx9uDDrVCcNyu3fvlvfee08mTpyoJoUkJCS4NvRGuDECUfXvhJNLvdw/waBTSAIFBJ13GK6LZAlorL7DEGCkgocaSn5+vvryygOroRh0ajCEHgf0YzOFAwcOSFFRkara9+rVq3KcvqEhxUyzUaNGqT/rsccek3v37qkOwv79++ufCB3+rNOnT6uHhvH/h2nACLafwl0Vg06NhhLzzJkzcuLECbUGGwFNTU2VpKQkiYuLk44dO0p0dHSdJf/rr78un332mb56BBNTggUTgS4rK1MTWBDmS5cuqba28d9GqLt27cpZgBUYdDIFStPCwkK5du2aCiKOlsIDAFB1bt68uXqNGgDMmDFD/UxNCxYsULP6jhw5ou9I5dBXYmKiqkm0a9dOdRqGW5vwAwadLIVqP5ZyAkrjCxcuqFIbRwbXFfTWrVtLq1at1L2WLVv6svrdGLWCTmSHV199VQ4dOqSvHqmr6k6h46IWcoTNmzfLc889V1lqw8GDBxnyCGGJTo5iDK+xeh5ZDDqRD7DqTuQDDDqRDzDoRD7AoJMD3JVzuZ/IinEvqHkc6uu3c2TDru/k6gP9I9QoDDrZ68FfJXfeSOkydrfI2O3yt/JyKS//Hyla0U0KPhgqPcd/JGdLmfbGYq872eiB3M2dL3Gv/UVm5efIuz1j9P2HHvx1h0xKnCpXMnNlz+/jWCo1At87ss+Dc7Jt6UaR9FkyuUbIIeqpFJmT2Uf2z98kX91lqd4YDDrZp7RICn6Ilt+93Ema6VvV/UratH9O2l49L4XX7ul7FA4Gnezz9xK5dlW/DihKon/zhETLDbn1t//V9ygcDDrZ559ipE3bMrlW8veK1nogD6Tszi0p01cUPgad7NM0Vrq8IPJDQZGU6lvV3ZNrheflatveEt8pWt+jcDDoZJ+ozvLGnDSRZX+U7O9KHt57cFY2/EuCjFuxQ44e3SFL52+Vtm8NkIRm/Kg2Bt89slGUNEv+g+T8x32ZPfTfZcUX56S0IvyjshbLCz9kyMsv/6tskD/I6ul9gnTWUagYdLJX1FPSf8lWKchJEckZIb9u8g/y6y7j5c9t0iX/ygU5mPbfMnXef8kX5+7qf4HCwQkz5GwPrsp3n50QSRogPdv+St+khmLQiXyAVXcizxP5f9JUboxQ55+TAAAAAElFTkSuQmCC"></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">What is the interval between successive times when the acceleration of P is equal and opposite to the acceleration of Q?<br></span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">A. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{T}{4}">
<mfrac>
<mi>T</mi>
<mn>4</mn>
</mfrac>
</math></span><br></span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">B. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{T}{2}">
<mfrac>
<mi>T</mi>
<mn>2</mn>
</mfrac>
</math></span><br></span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">C. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{3T}{4}">
<mfrac>
<mrow>
<mn>3</mn>
<mi>T</mi>
</mrow>
<mn>4</mn>
</mfrac>
</math></span></span></span><span style="background-color:#ffffff;"><span style="background-color:#ffffff;"><br></span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">D. T<br></span></span></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A wave of period 10 ms travels through a medium. The graph shows the variation of particle displacement with distance for the wave.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" 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"></p>
<p>What is the average speed of a particle in the medium during one cycle?</p>
<p>A. 4.0 m s<sup>−1</sup></p>
<p>B. 8.0 m s<sup>−1</sup></p>
<p>C. 16 m s<sup>−1</sup></p>
<p>D. 20 m s<sup>−1</sup></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>Option D was a very efficient distractor as the most common (incorrect) selection by both HL and SL candidates. The difficulty index was low for this question, suggesting that HL and SL candidates found this question quite challenging. Candidates are again encouraged to read the questions carefully; it is likely that candidates selecting option D were providing the wave speed rather than particle speed.</p>
</div>
<br><hr><br><div class="question">
<p>A particle moving in a circle completes 5 revolutions in 3 s. What is the frequency?</p>
<p> </p>
<p>A. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{3}{5}">
<mfrac>
<mn>3</mn>
<mn>5</mn>
</mfrac>
</math></span>Hz</p>
<p>B. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{5}{3}">
<mfrac>
<mn>5</mn>
<mn>3</mn>
</mfrac>
</math></span>Hz</p>
<p>C. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{3\pi }}{5}">
<mfrac>
<mrow>
<mn>3</mn>
<mi>π</mi>
</mrow>
<mn>5</mn>
</mfrac>
</math></span>Hz</p>
<p>D. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{5\pi }}{3}">
<mfrac>
<mrow>
<mn>5</mn>
<mi>π</mi>
</mrow>
<mn>3</mn>
</mfrac>
</math></span>Hz</p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p><span style="background-color: #ffffff;">Monochromatic light is used to produce double-slit interference fringes on a screen. The fringe separation on the screen is <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi></math>. The distance from the slits to the screen and the separation of the slits are both doubled, and the light source is unchanged. What is the new fringe separation on the screen?</span></p>
<p><span style="background-color: #ffffff;">A. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>y</mi><mn>4</mn></mfrac></math></span></p>
<p>B. <em><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi></math></em></p>
<p>C. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mi>y</mi></math></p>
<p>D. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mi>y</mi></math></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>What are the changes in the speed and in the wavelength of monochromatic light when the light passes from water to air?</p>
<p><img src="images/Schermafbeelding_2018-08-12_om_09.30.27.png" alt="M18/4/PHYSI/SPM/ENG/TZ2/16"></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A light ray is incident on an air–diamond boundary. The refractive index of diamond is greater than 1. Which diagram shows the correct path of the light ray?</p>
<p><img 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" alt></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>A</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br><div class="question">
<p><span style="background-color: #ffffff;">A transverse travelling wave is moving through a medium. The graph shows, for one instant, the variation with distance of the displacement of particles in the medium.</span></p>
<p><span style="background-color: #ffffff;"><img style="display: block;margin-left:auto;margin-right:auto;" 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" width="513" height="138"></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">The frequency of the wave is 25 Hz and the speed of the wave is 100 m s<sup>–1</sup>. What is correct for this wave?<br></span></span></p>
<p> </p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">A. The particles at X and Y are in phase.<br></span></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">B. The velocity of the particle at X is a maximum.<br></span></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">C. The horizontal distance between X and Z is 3.0 m.<br></span></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">D. The velocity of the particle at Y is 100 m s<sup>–1</sup>.</span></span></p>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question">
<p>C</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
[N/A]
</div>
<br><hr><br>