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<h2>HL Paper 1</h2><div class="question">
<p>A diffraction grating is used to observe light of wavelength 400 nm. The light illuminates 100 slits of the grating. What is the minimum wavelength difference that can be resolved when the second order of diffraction is viewed? </p>
<p>A. 1 nm </p>
<p>B. 2 nm </p>
<p>C. 4 nm </p>
<p>D. 8 nm</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>In two different experiments, white light is passed through a single slit and then is either refracted through a prism or diffracted with a diffraction grating. The prism produces a band of colours from M to N. The diffraction grating produces a first order spectrum P to Q.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" 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"></p>
<p>What are the colours observed at M and P?</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKsAAACtCAYAAADPsY8EAAAR/UlEQVR4nO2dfXRU9ZnHP522lJ0Ns0A4QnUxCZkhbSCAY1gE2RIVXD2gkwRsqxtDIi+e1lRAiK6aCBi0K5FNQA+WFU14OVCUkISX7SmGOKQYVOjwkmiNMzHBCiZ7AtJhzhzK6rh/zJ2YmUxeCElmfuT5nJNz9M6Lv+fO9977/O71fu73vv32228RBAXQhXoAgtBdfhDqAXSEMTom1EMQQoyjscHv378Xzm2AMTqm3YAHClJ7+9qlDRCUQcIqKIOEVVAGCaugDBJWQRkkrIIySFgFZZCwCsogYRWUQcLKF5QvNGOMjsEYHUNigY2v27z6ta2ARO01Y/TjlDd93eE3qcvXNJU93roO/P8s5G47RpMn1GOUsLbjovU0Da0/zGUaTv+Zi6EcUMg5zc7cDBasP4YrxCORsAZyqoLq+svef/acobr0RGjH088MXVLCJ40NOBobcDSe4g+F6cThpu71/Rx3hnb3KmFtxcgDafeg5684zmr7ENeXOOxu9A/8Ow8MC+3oQoMB0xwLs4YB7q/4m1vCGib8kEjjWGL5nPKKWpx4cNrepdytJ3bsGCJDPbyQ4MS+v5x3vgL0w/gnfWjjErb/P2so+MG46SRP3ExeTSPNntugsR43t5A8PY6vNoZ6dP3DxfVz+cn6wKV64hbNIdEQ2rDKnrUt3x9BVMIIb99q/8Tbr+pjiRo5KNQjCx36mWQVbuONJZOJCPFQZM/qRyTmmUnot1txHH2P5lNu9Gl3YDZ8n5OhHlo/MXRJCe8vM4dlMGTP6oeOiJtiiOVzdq56mUqGcVuiEUOohyUAEtZ26GKnkjxRr/1bPLePGxHS8QjfIWENRBfp7VsBht1KQszg0I5HaEXC2o7h3r4V0M++BWM4Nm8DFLm7NUyR2uXuVkFhJKyCMkhYBWWQsArKIGEVlEHCKiiDhFVQBgmroAwSVkEZwvYKlsiEBZEJK4LULpdbBYWRsArKIGEVlEHCKiiDhFVQBgmroAwSVkEZJKyCMkhYBWW4irC2YM2ZgTE6jS32y303IpVwWsmNH0dKcR1h4NrtX0JQe7fD6jl3hLcOmMl67BvWbXkfZ1+OShCC0M2wXqb+4G6OzJ7DvMljYc+72EIslhUGHt0Lq+cM1aUfE2v8Z24034EFK4dsF/p4aH2A00pu/FQW57/A4vgYjNEzyLW2AB5c9ncoXDi1U4++p+kY23Ms3vfEL6LwjydoDkkhPcHbxk1Y+AIva3VOyLF6j5AuO5UFi5gQHYMxehyzc3Zga7ri9+lwqL1bYfXUH6XsVDzJt0ehM4znrlQ04a6KNFFZCQ9V1uGofZvHEofjObeXJy2vcn5OMScbG3DUvojx8Ap/j77rGBsyV1B1w39w5LMGHB8uZdgf36LSHcparh53xYe40kr4tLGGg1mJGDyfU569kHXnZ1NSW4+j8Sj/ZfwTGZmbsLm0rTVMau9GWC9T/14FNRNnMi12MD69jsqtgP7W2zGPGgQRNzAq4gJVGws4krqM7OQ4r4M0YhwPP5XJoPXrKbFfBjw4j+/nzUGZZGdNZZTO955HSQhtKVePfhJJ5lHoiGDUKD3OqjfIPZxE9pP3Y4rQAQbi0peyfFARebvteMKo9q7D6qrhwK5mHlw2B5PO+xGD+Q4s7Gb9HruCs2A9scYffyfGddZyaE+L/zJANzKa8foTlL13Bg8XsFVYISGakbrA9/Tj0HsDUww3RfiK8Nbl9luGJqcbQk3pUeo94VN7F9oxbav6iwN3xmR2Br5cepT69DgtxCrjpmbVPYxdFbhc7917eM5zpqaFdruSiB9jNP2I2n4ZYx9yajX3jlndfvlEwqr2LsKqbVVpRdjWJPlJdT32YubOqqC6/peYTKprIW/mweIS8pI6crG2fKfBbIvrSxz2v/fpyPoDfVoRRwJ+3+9o4WyY1N75PtFZy6E9I3gkdVK7QrzS3Y+1w6TCdDRhdFrJjfedLdD69JpGmtsU62lupFaxCZY/Hc0/tDMHOVacYVR7J2HVHq1juo/Zk4YG+WQU01Liqdl1kJMuleM6nMTUeYzeXkB+WZ139u+qo3xtAeUzlvGrn40AdBgS5/DIlQ0sXX3Ie0rL9RHbXtpETWgHf41odUXtI3/tXuwuD+DEXvYK+XvM5P16GoYwqr3jsHq+4N1dVmJTphIb9F2Dib17Hnef2U3p8QvAZezFaRjjV2JV6iyBjgjzY+x6J4vI/RlMio7BOD6DA5FZlOTfz42+2iMm83jRJh78ZgPTx8Rg/JdCvvq3n3OnahOsQCIms/TtXSyPPMDc8bEYoycyd/8IlpevxnLjoNb3hEPtcndrmCK1y92tgsJIWAVlkLAKyiBhFZRBwioog4RVUAYJq6AMElZBGSSsgjKE7RUskQkLIhNWBKldLrcKCiNhFZRBwioog4RVUAYJq6AMElZBGSSsgjJIWAVlkLAKytB1WD11bLGM0+x6bf+msrigrJ1tbkChmkz4qsfrwWldyYSrFUh7mrDt2NfrLrRu71n1aUXYGhtw+P5qi5l9voifP7oDuxK/lIAhibyPP6I0I64PD6kenFWvkbHmeK9bJns+5og47pufQsKpCqrrRdsu9D3XvoHpY4kaOagXhtIPXM8yYU8dWyyztHra4LSSG68dxoO0AZ4mG+V+IuFirPbO9omdravL2IvTMWdsxe3eysIJCb3aIvU8rK469m2xMXHjo/zMoNI87TqVCeuimJYyMsDZ5VNA+dy6AbiOsSFzIf998Zcc/KxBEwl/wOOWlZSfCz4X6XxdDcaUsRVbcTp6fTqbT9f0asvR7e9xb8/E3HaCNf4elm8/wzcXLxEuv1d3uT5lwoOJvX0msX6StQvYKqo7UEBdxr57Pa+SSV72Hd6aMBCX/jR5M94nd2N1kJ6zpRvrqu/o+QTrs6P8/okbKF/6DJttF/tyjL3M9SsT1sVOJdlk5a3KL7yHXmcth/aM9Or1273bxVnHX9HfmoDRTyR8A/FTYnEHWANp/b6u1lXf0YWftRN0o0jMWsHyQ6ms23OSR8wd+T1V4DqRCeuimJYymryiSurvT2ek1gKUBGsBOqrJh72Bsy4PI9u90MW66kN6HlbQdN4dCXhV4nqRCXtbgYRVFVTXzySqoprYlIeCWyC7+u0C1e2tdLWu+m7fem29r+c8Z2outTssKMV1JhP2Sp6bcdRUddICAERwk3E07j/X4Gjr1/X8Lx9/UI8+oOUBurmu+o5rCKuTuq2FrLPfx5JUk8LXba8zmbB2VmDnE8+ys6OzAAAMxjRvCVkUkZv/rnbqyUnd1t+Se/g2TSQcSHfWlYa7njPNblyu3pt09fxsQPRUnnD8K8WVz5LUeupKRaHw9SYT1loB9CR0KILWiJjM40WbWTz099w9xvebTmFDW5GwH91ZVzoMiQ+Rl3aJvFlTeHh370265O7WMEVql7tbBYWRsArKIGEVlEHCKiiDhFVQBgmroAwSVkEZJKyCMkhYBWUI2ytYIhMWRCasCFK7XG4VFEbCKiiDhFVQBgmroAwSVkEZJKyCMkhYBWWQsArKIGEVlKH7YfU0Ydv3Jrn3+sTC45id8yb7bU1qiHSBnslxW7DmzMBoKb4qD62n6Rg7yk72uqM0bAiBSLl7YXV9xJbFvyD3g8GkFJ3QfFdHKUw8w2upj/K89ZwigdVhSFrN6cbtzDd1dD99b9BC1asr+M/jKjnAwp9uhPUittefY90Pl/H68w957XsAGDAlP03hqiFs//UmqpTxBAiq0nVYnScpfb0Fyy+mfyd8aGUwpnkr2fziXdwUBt2vx15MSjvBhnbotxRj9wRrA67QZCvzl+MWW7G7Otv4nNgPvaIJiWMw3pvDdl875Klji2UGC7d/rolBrtLH32d425kJC1/gZa3WCTlWb5vislPpJxTe0e5ZEeEgUu4iYpqMliTuMg8P/pYIE0nJP8MUVOLVv3iVj9Ucsl1os7QzR6kHl20TC1KLuJhWwqc+Oe6Rp5mbvZdzQfN6hXNlK5n7cguzy0/haKznZOFPqEp7jA22i6CLY375YTan3axpQvu65bg63BUf4kor4dPGGg5mJWLwfE559kLWnZ9NSW29JhT+ExmZm7D5NtgwESl3kbArNDfWqyMLDmZ/7sxR6rFTsroIluSwIulG7+sR43j4+aeYfriA16qCiMac1bz2jA3LU7/BYjIAOiLi5pH95D/w6uqy8H8YiH4SSeZR6Ihg1Cg9zqo3yD2cRPaT92s7HANx6UtZPqiIvN12PGEkUg797rBX8dmfy3n33BW61pR/icM+BPMtMf5y3FE/ZYrpErWN5wMmjtr3uUdjvKntJwYxMjoWvQoPA/FTWXolye5AvaUukqiEIdSUHqXeEz4i5S78rNqP0D9j6RW8rcAGig82cF9GpNYCBHeU+pSV44N+09+pd3yJi8ggr71H3qyfktdu+e3XOPoQcWo1945Z3X75RMJKpNxFWHUYzHdgYSWHbL8hKahA9gpNtsN8MmQKSaYwcF/ropiWEk9e6VHqk6O9LUB5cEdp53uHH3XsndWns/n9lW3siYG4OlgenujTijiypiNzeQtnw0Sk3HUbYJhEyqIRlO86EmTCcYUmaz4L0v6Hv/1juEwiNOWj3UFtZUXHLQBoe4dL2E40+MXL0/QXPrAPYXx0ZMAK8m281oBJnHaWQSnVJ7RKkv0emgGtZw5yrDjDSKTcjZ51KOZFz7P8/wpY9FybUxqeJmzbnmdBxodM3pjNfUF9nqHB2wqUkv1EaQdnAXxvNDF3ZSasX8PLvgsbro/Y9txLHAmU4/rQNt6dL71Cud2J97lQe8l/ycr0Fxf4PWbJXdNI89duXO5wDbAmSY7aR/7avdrpOif2slfI32PWhMLhI1Lu3gQrYhzzCzeTbW7md3fGec+1jbmL3Lox/GrPJp7zzaTRznVG972yu1N0UUxLuQW4pRNNOXjluI/yxp5Mhm6fy9joGIzjn8Ex/bf+ImE/hmJeVsQfVozggGUixuhYJlkOELliM2uTb9b+W8NJnL+MB6/kc69xMSVnw/j5thGTWfr2LpZHHmDu+FiM0ROZu38Ey9sKhcNEpCx3t4YpUrvc3SoojIRVUAYJq6AMElZBGSSsgjJIWAVlkLAKyiBhFZRBwiooQ9hewRKZsCAyYUWQ2uVyq6AwElZBGSSsgjJIWAVlkLAKyiBhFZRBwioog4RVUAYJq6AMXYfVU8cWi08g3PZvHLNzirHaVdLlDnCZ8FULgHuyvvDepr9jX4CL4Nrp9p7Va8Rr0ETCPplwA/mzMim0qSLNHeAyYUMSeR9/RGlGXB8eUj04q14jY83xXt9Qr2HMBkzJz/J64c28qYI9T1Cea9zABnHjnRYs9iK2BtND9jMDWibsqWOLZVZ7uYjTSm68NoZ2bUBPavfgsr/j/5ltx7ymFi5jL07HnLEVt3srCyck9OozB679aKD5otrrIfufAS0TDuam7VT52ZPawXNuL09aXuX8nGJO+j5zeAUL1h/DxWBMGVuxFaej16ez+XRNr7YcvfQ9Pj1kiBnQMmGfm7atZK2TDbUntdNC1cYCjqQuIzs5zmtYjBjHw09lMmj9ekr6+AhynZ26GtgyYe+RxcpblV94x93ZhnrVtfu+r6WdCtSrDj1B2Xtn+vTo2oWftbt04jLtZwa0TFgXxbSU0eQVVVJ/fzojtQ21JMiG2r3aTUFec1Oz6h7Grgpcru9zbfu1h9X1JQ57fBe2vn5kQMuENTftqgqq62cS1cmG2t3a21dyMw8Wl5AXVCwN9OG+9RrzdRn7ns3s7EzY2+8MbJmwLnYqyRObcdRUddwCQA9qBwzjuSuVgEkc2lmGvtec9jysniZs29awdO0QctemYgqL3aqXAS0T1iaZO594tvOdSE9qZziJqfMYvb2A/LI6b8hddZSvLaA88DPues40u3G5eq+H73bEvOcM21xuHZPC71omkl3+EvPj2tjotcuzrQ8ECwUDWiasHVnQk9DZhtqj2nVEmB9j1ztZRO7PYFJ0DMbxGRyIzGrzGR2GxIfIS7tE3qwpPLy79yZdcndrmCK1y92tgsJIWAVlkLAKyiBhFZRBwioog4RVUAYJq6AMElZBGSSsgjKE7RUskQkLSsmEBaEt0gYIyiBhFZRBwioog4RVUIb/B0p0/+9S+3DhAAAAAElFTkSuQmCC"></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 has low discrimination and the difficulty index suggests candidates found it hard with the incorrect option C being the most popular. The spreading of colours and formation of a spectrum (or rainbow) is something that is covered during an introductory course in physics and then developed in refraction and diffraction.</p>
</div>
<br><hr><br><div class="question">
<p>A train moving at speed <em>u</em> relative to the ground, sounds a whistle of constant frequency <em>f</em> as it moves towards a vertical cliff face.</p>
<p><img 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y+1Pffc001lzZ07112fc845tYo4+Ygo5fszUfvouAOB0hGQJeGAAw4o3QCy6FkWycGDB9t7771nmzZtsgULFtgTTzxhmpLWz3PXrl1t2bJlaS0dd9xxKXlyitX09SWXXGK9e/eO/XOnDL6JXKQIEYRE/N864iO7dySh9vDDD1unTp2ck5vEh09yevvWt75l99xzj/Xv379OMy4/E54ax8ZGQNMYYYuDnlH5PjX0fkPqvvjii/bqq6/6rpJHiY999tnH9GVAzqn777+/tW/f3nr27GnNmzd35eTEL4GipfYSF7KiKP34xz9O8xNRPwsXLnT/hgwZYvIzkWWFZfpJ5CU/SZma8aPJ9Ms3+M2wtvvKb+jUjEz+DUlxnR5oyHPk8gz6dq+VKz7JMiJRwtSMJ7LzKFb33nuv+wUm/5lzzz3XWrZsmSygb1dPP/20KfaKympOWX44waRfXH/+85+DWSnWkdp+BnyFfO7nU1f9N7R+Nj/bhXiuTGOLqu+GMtFYCzW2qPsu1Lgzva/6uDSkb78iRm0qScSMHj3aneuLhKZdJByCyU8pyRriHVQlTmQ9eeONN2zRokU2depUq66udsLliCOOsH333TfYhBMiXrik3OAijYA+u8F3mlagQBkpFpECtdngZrL9w9yQP/YNHkQBKmTzHHF/hgJgKHkTmo455phjXOyVn/zkJ2njkShRvr4VyTwtr3uZbkkQgEA8CGj6WQ7jwaQvDOPGjXPT0rKGPP7443b77be76Ztu3bo56+eNN95o+icLqKZtfvGLXwSbcOdXXXVVSp6+kNx33312/vnn12kdTanERUEJEOK9oDija0wOWaR0Al9//bXzCZFzr1a/1JXk5Pbuu++avPdlJSFBAAKlI6AwBcG0YsWK4KWbYlWGRIosHrJ2KEmcaFWhfL66dOlif/jDH1wYCX3ZkF+JBMndd9+dbEuWlGB69NFH3UIAWZhlpZE1hhQtAYRItLwL1tugQYMK1lZjakjfbuTItnTp0rTplvBzatpm8eLF7hcaQiRMh2sIFJfAUUcdldJBVVVVynU4mrT8RYIpbDG58sornc+JlvP+61//cv5fw4cPdw7q+n2pgJtyXNX0jwSHzvX7Ijj9I58YCRLlk6IjEIupmeget3x7+uKLLzIOfsuWLRnzm2qmpl0++OADN38scRH0DQkzkfVESX4iJAhAIFoCdf1saiRBB3Ndhy0ZYUdavxxZFhP9O/TQQ93SXu93IquILCkPPPCAydlVPijXX3992kOPHTuW2ExpVIqbgUWkuHwL1rpWeQSTVn4otWjRIpjd5M/9Lzd9q3nzzTfr5KFw7vK419RMNrFF6myMmxCAQEEJyGE8mIJTN5mmT/xUja/z1FNP+VN31NJfTeP06dPHPvnkE5OVRNHAJVDkBKt0/PHH28UXX5xST1M78iMjFY8AQqR4bIvashy1SJkJaJWMrB1aGZPpF5ZqyYdEq2K0f099viSZeyEXAhAoJAEt0/Up09RIMIK0nFWDSUtyg/dVPxyV9Ve/+pWblpkwYYItWbLETeFqaa8EiawvEhuyPActMZrOufzyy130Vn1pqe33SXAsnDecAEKk4cxiUcMH3IrFYGI2CMUO2bZtmx1yyCEulohWx/g4AjrqWr+kFJdA5fy3oZg9BsOBQJMisN9++yWfN7x7ezA+iQppmW4whTfCC99X2RNOOMFVkWC55pprTP2pnnzKZBnR74NXXnnF1q5d6yylsoQo31tmtEmfLK0PPfRQsGvOC0AgFj4ijWVJa2N5jgJ8rkraxG677eaiKD733HNuHNu3b7e33347OaZdd93xsW/WrJkrp/IkCEAgPgQ0dRJMwWkZ5YcDoWm5fjCFp2VuvfXWFIuJHFX/+te/uioSHxIkZ5xxhl199dXOQqIVN6NGjUrGNQm2He4reI/z3AikCJFMgXd8s3XdU5n67vt2wsdsYm+E68TxOurnkDIn1U5A4uK8884zxRd455130grql07QlJtWIENGfZ/xYt4v17aFsa6x13Wvvrr53m+sfZfDc2maQw6lWr0iHy35buh3mvYpk4VCzqTB1KpVq+Slpl1knQimzp07Jy8zTcv88Ic/TN7XSdjRVf0++eSTblpG/SuMvISI/EWuuOIKZylRPQmaYF8pjXKRM4EUIZJvBLX6fgByHiUVkwTYayaJIqsTiY2GCo5gw/n+TATb4hwCcSEQt71mtJLFJwmJdevWuUirH3/8sSmeiOImyalUIiE8LS1xEEzhaRn5jwTFg/w8wkLmhhtucL8n/FTNzTff7Mpce+21TpxIpChquPzPgkkcf/vb35rKx33vnuC443aeIkQQEnF7PTvHs2HDBneBJWQnk2KeKYaBfuHxM1FMyrQNgR0EfOh2Xfk9ZrQCTrFGtCzXf5nwe8zcdtttTihoWuWrr76yoLAKT8tos7tgCjuxyhoi/xCf1NeqVatc+1r6O2nSJLvgggvc1I18S7Q/lQSLHFl1LVGjFXh33nknu/56iA08FnSvmR/96EcmBUu47Aa+hSyKy8HyH//4RzLQjr4xaA8FRRSMYtWH/F+inn7KAktRimjFze9//3sXIl7fznwKWkcyCZRC3S9m23qWcPuFGnemtpVXV/t13auvbkPuh5+5IXVVNp/6+dTNpe+omGYaW0P61ioVBR/zSXX9qhTtq6VVb0pyKlUMEQmS2vaYkfhQPCBNxSqIWTDpd6UXMhIs7dq1C9521pZTTjklmRcel25oKkmiRHVlHXnppZdcwMSbbropWU8nM2bMcLFKUjLL+EKf3eA7LdajFHTVzIgRI1ykylmzZhVrvE2yXf1waiv74B9F/WD97ne/c2rd//A2SThFeGgt6VPo9yDvInRDkxCAQIiAD0bmRYhuDxw40IVqVwTUPffc002zaOdcLaudPXu225lXf3skECREZC3xaeTIkUkRorzwZneatgmKEP3Ma/+aYJLFRD4lEiLqQxYWWUK8s2uwLOe5EUiZmsmtiZ219ELbtGnj/jgqToOWUYbV587SnNVHQOZBrfaQCJGzlp+e8fX0rUH3JUhkGVFQruASOF+uUMfGHIFU5l2FhdZctMK+kyAAgdIQ0JRHMPlQ8PLBCEaSloOrnNJl5dCUjZbnSoho0zs5mOrnWLtwyyFWG+bpb1MwnLv6CC8L1uZ3frmuH4P8VxSl9a677jJZXiSAJFYUb0Q+JBqHkiKyKnIrKQcCiQxJ1tTwv2Cx8L0d1tcdJfy9Nm3apLXh73FM51sbk86dO2fk6N/Hli1b3P3WrVtnLFdbu+Rnfgc//OEPE/PmzcvI0jPXMRO/Qt0vZtuZxl6ocWdqW88STOFnq+tefXUbcj/cb0Pq5vJcwfaj7jsqppm4NKRv/ZwNHTrU/Zs0aVKy6sqVK1N+vmbMmJG8N3ny5JR7S5cudff0e/CZZ55x90466aSE2lu9erW7V1NTkxg2bFjimGOOSanbq1evZLs6Cfer96bxhVOfPn0S6mPZsmXu1t13353o2LFjYt26dSlFNaZVq1al5JXbRfBzXMyxZ/QRyUHPZKwiZatv9aTcCEjB+7nNbFqQWTEcCCibepTZQUDWO5l8SRCAQOkI+L8biiUin0OtlPG/B2XdCC69lYXE/8wq0Jgswz6deeaZbsdeTe2cfPLJbqpVvnaaVlGS9TM4LTN48OCUaKyaklEsIt+36oT7kCOrpmpefvllN3WjlT2y3OgZZC2RE6t8Tsp1RU1UPiKpX1eKKXloGwIQgAAEIJAHAVktZO247LLL0qwVsnAErU+yUKj82LFjE717907MnDkz8eWXXzrLhawYKi+rjJKsLsG6Og9aYlRG1pdwGV3L2qJ2ZXk577zznBVE4/NlTzzxxLK1jOgZokhFtYh4ZcoRAhCAAAQgUCwC4dUwii0iB1afjjvuOFu6dKnbzkGrarRcV9YUBS373//9X5szZ46zXvjy8h3xu/YqT9bms88+O81/RFaVzZs321/+8hcXS0RltRJIy4rDyceACufH+RqLSBQyjD4gAAEIQKDsCcgfw/uc6Fu89x3Rg4V9vs4880zn4zF//nz33LJkyGIStGCE/T3kK+Lv+6MsLT6pP1lD5Jci68jgwYNTygfL+jrlcNSzRpGi6SWKJ6EPCEAAAhBo8gTCIiI8ZaPpGpWROJBgkBCReJgyZYoTD/fee28Kw7CDrP44Z3JinTp1qhM4vj0vRjRNU64pKiFS0DgicTYxMTYIQAACEGj8BILOpeFYQJpyUawSlZHTqhbA6XrChAluukZTPJrCkVOqHE4VoykYdE30FHtEYd2DSZvo9enTx03JqL0lS5a45b5ygNUGeuEUHlf4fpO7LlelxrghAAEIQAAC2RDQ9IwsI7KG+BSesunatWtySa6sI+ecc06iU6dOKVMsmRxP1aafrgkeNfXjp2nUl0+yxGRqx9+P0zEqiwjOqk1OevLAEIAABJo2AVk7ZKkIbn4nh1Mt19UGeYMGDXKhJ7SvTNDxNLzkVxYU7TsTDoKmJcNKsojIUVZLeS+66CIXIVbRXpW0PFhRnP3yY5cZs/9wVo2TLGQsEIAABCDQaAiErRhBnw/5hMh51TueanmuLAOPPfZYyvMrWJksG0EriM7lEyLnWf2TFSZoGamtbErDMbrQeKNI+IjETIEyHAhAAAIQKC4B+XFoMzwf4l0WC5+6dOni9qRREDJtbqclvgpcpn1tZElR0lF+ImFLiELJKxS8rBz6pwBnalt93XzzzW75sO/HH32b/rpJHqNQO/QBAQhAAAIQiCOB4Cobb8UIWi4U/ExJlg1ZQN566y1n9QiW0bm3hASfUVaT6upqt5pGFhb9U3h4lZcVRv3FOWmcUSR8RJqk/OShIQABCEAgTEAWjODGePLjOP/8893morJ0aMsS+Y/IUhJMQUuIzw/7j5x00kluozwFNrvyyiudhSXO/iF6jqh8RJia8Z8ajhCAAAQg0KQJVFVVpTz/I4884nbv1R42mmJp0aKFab8aiQqfshEhKiunV7XRsWNHN62jqZpg0hLgprqsFyES/CRwDgEIQAACTZaAVsDIYiFLyIwZM1yMEcHQ5ngtW7ZMxhSZPHmyEyPnnntu0ifEQ5Og0AaaYf8RtXnMMcfYnXfeaWeddZYddNBBbkM8+Yjcdttt1q1bN1P4+aaYmJppim+dZ4YABCAAgVoJyDIRDIwmcSGhoCRriISIkoKd/cd//EdyF99gOVfgm/9kNZEFRA6wEh1HHHGEC6AmC4l2TJ86dWqyuNqWIIpDYmomDm+h6GPYYDWz7rIRk1bY9rz72mo1Ey+wiqoRNmdD/q3lPRwagAAEIFCmBGoTIXocTbEoJoiSRMMvfvELkz9IbSJEK3PkXyIRonTdddfZM8884ywvEidr1qxx+f4/iRu115QSUzOlfNsbFtmEAbfb4m2FGERz63Dpk5ZYc5ud3orXWgiitAEBCEDgnXfeSYEg68Z//dd/2VVXXeXyJUYU+MxbTIKFx44d63bxDTulalrmiiuucEt877jjjmAVU/tNLkWxNIc+aiHwxezEsMrKRPWENxPbailCNgQgAAEIlJaAwrKHl+hqaa7fcTe4LFfl9G/GjBlpg9ZSYS3z9WW0MZ6Slggrb9KkSWl1SpmhMUWRoukliicptz6cCNnxgXUfysobE7O/+Dgxe9jxCes+LPHAmEsSlfpAu/xticS2NYlFk8ckLqn0dSoT3YdNSMxe+cU3T/5lYuWEH+8sn/hkR1vVdydmv/JQYlj3yh0f/spLEmNmrkxsLDdejBcCEIBACQksXbo0Je6HYoDccsstLi6IBMayZcvc79jjjz8+obLhpLxMkVi1r432pFE0V4mbOKWohAg2/FLZwFqdbqNWzLZhlZVWPeFN2xacUpn7jM1rPdRqEl/ZmrlXWJdWG2zxHYPt3Ol72NWLv5J4tMS2hXbTLk/YGVdMsMWb6vAJmXmr3TJ5Txv09GpLqL1HDra/VV9v9y1eX6onp18IQAACZUdAe+Se7s4AABx5SURBVND4KRatdJGj6U033eR8Rm644Qa3LFd+IoraqrLBpN18jz322LSVNCrzm9/8xsUnGT16tGsvGGlVTrPB62CbjekcIRLHt1l5rg04/0hrabtZZYeDrOWGJfbkHR9Z/wEXWpfK3XaMuNl3rPvAC6167j/stTVf1/4UlQPtppG9rUNLverdrPKE71uXyiU267WPCuAgW3u33IEABCDQGAl4ETJ+/Pjk440bN86tijn55JPdChoFRlNSWW18pzgk4aTlvEuXLrWnnnrKxSrZfffd7Qc/+IE9++yzruiUKVPs7LPPTl6H6zem610b08M02meR9WTNIrNNNTZnyt/N2TLWv2JjB422ufZju7AhD96yyjoebfbwyjW2yQ63Vg2pS1kIQAACTZyArCKdOnVKoSCnVKV77rnHrr76arv88svt8ccfNzmihuOJqJxW0mivGm9hqa6udlFXtSOw/mknYAVOU9IqGu1VE1zJ4240ov+wiJTFy9xgKyYOsqq9OtoZY1/ZIUT27mn/uegBq7Z3beXqTWXxFAwSAhCAQGMgoDDvfnWLAp9dc8017t+yZcvs5Zdfdst1//SnP6WJEB8oTdMwXoSIx8CBA51lRCHkdc+LEM/q9ttv96eN8ogQKYPXur3mL/bzQa9az8nv2bYXRtmlffta374/sKov/mmvl8H4GSIEIACBxkRAIkKxQTS1ImuGT9qpV/4ismA8/PDDPtsdJVw03RIs7wtIgGgaZ8yYMXbYYYe5oGf+no5z585t1OHfESLBtx3L8+22afXb9rodYacctb/tfGH/to3rN8RyxAwKAhCAQGMnIDESdEpVELJLL73UbYinaReFeZ80aZLDoFgj8iPxQc08G4kPRVrV/jOzZ892ZRRlVTFG/H42mvZ57rnnGvXUDD4i/hNRiqPz12hhy9T3lk22qXmmQTSzViecaf0rH7SHH3zJev7+LKts9rWtfXWcjbjmHltrx2eqRB4EIAABCEREIBxVVaJDfiTyF5k3b54dddRRaSNRHUVZDfuQyKpy6qmnun1nZHHRtE9jTzu/YDf2J43j8zU72HoO729fDzrCdtnzUnvy7S8zj7JVN/u/T4+yLv8YYFW7VFhFxfF2w9/b2IBpT9mwysxVyIUABCAAgWgIfPzxx2kd/fd//7e99tprbjWN9o6R9UNJS3KHDRvmIrGGRYjuf/75585HpE+fPvb666836ikZD41N7zwJjhCAAAQgAIEcCWiZrpb0yiH1gQcesDZt2tjPfvazZJyQjRs3puzgm6kbTeH07NnTrZyRv8gnn3xi06ZNcw6sEjCPPvqoVVVVRbYpXlSb3iFEMn0ayIMABCAAAQg0gICEwn333eemW/yKGAmH999/32688Ua3pFdTNpmSlvPKydUv0a2pqbEJEyaYpmmGDx/u/E2GDBniqkrovPjiiymrbjK1WYg8hEghKNIGBCAAAQhAoEQENB0jC4cXIIq6Gky9evVy1o5wvspcf/31duWVV7ri4ftygr3kkkuCTRXlPCohgo9IUV4fjUIAAhCAQFMmoJgiCk4m64V8QrSKxkdclVVD0zCadgmLDDGTI+vzzz/v6mk5r+oHkyK1ygLTWBJTM43lTfIcEIAABCAQCwLaWyYc1l0xRGQd0T+JED8NExywBIh8Q6ZPn57MVt5+++2XFCwSMZrGUTt+CihZuMAnUVlEECIFfnE0BwEIQAACTZvAzJkzrUePHikQ2rZta//zP//jLCQffvhhyrJc+YRIgAT3r/GVe/fubYot4n1FFNW12ALE9x2VEGFqxhPnCAEIQAACECgAAUVP9SHgZcFQLBHtH3P//febluUqeJmmViRANO2igGaZRIiGsnLlShc2Xu198MEHkYmQAmDIugkCmmWNioIQgAAEIACB7AhoJYyfivEWDFk93nrrLbfpnSwdL730Uq2NyZFVbWhaRtYQWUVkoZB48X4liuYajtZaa4MxvoFFJMYvh6FBAAIQgEB5EpBYUCAzL0L0FCNHjnSWj5NPPtn23XffjA8mASILihxZTznlFCc65LAqAaN7sqzIEdY7wMqHpNwTPiLl/gYZPwQgAAEIxJqAlvE+++yz1q9fPzdOWTWUvGVD594CIvERTirv44poakcixSdN2fjlwT6vUEd8RApFknYgAAEIQAACJSIgEaG9Y7wI0TDkDyIrh6KxnnHGGSkWkPAw5UuyfPlyF61VTq5XXXVVShG15YVNyo0yumBqpoxeFkOFAAQgAIHyIqD4IeE0evRoN9UycOBAO+6449wUTLiMBIjijmgKRyJm/fr1zhLy/e9/P7kzr6+zYMECf1qWR4RIWb42Bg0BCEAAAuVAQD4iivvhkxxQZ8yYkfQVke9HMDiZrBvy/5AA8WHdfV2/E2///v1d1q233upW1UQRZdWPoRhHfESKQZU2IQABCEAAAt8QkI/InXfeaeeff37SL0RiQ1Mz2thuyZIlduyxx6YFM8sEUDFKjjzySLd/jQKnFTPhI1JMurQNAQhAAAIQiIiArCIjRoxIihB161fAaAXNI488Yt26dUuJqBoemiwpc+fOtXvvvde+853vWPPmzU3LdxtDYmqmMbxFngECEIAABMqGgKZili5d6sSJzhUnJFNSMDRtcLdu3Tq3OZ6cXv1SXvmX+NUzsrhoGW9wiidTe3HNI6BZXN8M44IABCAAgUZFQBaMu+66y03B+Af761//auecc46/dEdZP2QxybSUV/manlGo98svv9yV974kUe3KmzLYAlzgI1IAiDQBAQhAAAIQqI+ALBbhQGYnnXSSm3JRnJB33nnHfvWrX2XcEM+3rTbka/LMM8+42CLegVX3ZUF59dVXfdG8j/iI5I2QBiAAAQhAAALxIaAdd2XtCKZddtnFOatqf5pdd901owjxUy9ybpWQeeGFF1wd+ZUE08KFC13U1WBeOZzjI1IOb4kxQgACEIBAoyBw8cUXu+cYO3asrVq1yp544gl78MEHk74fQT8PhXJXLJEWLVo4Z9bgxnjTp0+3Tp06pcQUkUVk8+bNZceJqZmye2UMGAIQgAAEypmALBzBPWhk6fjNb37jplU+/fRT23333W3KlCl1rqLR88uJVT4mEiyKJdK5c+eCYolqagZn1YK+NhqDAAQgAAEI1E0gKEJU8rzzzrPZs2c7p9WwD0ltLclPZPHixS5EvHbxLbQIqa3fYuQzNVMMqrQJAQhAAAIQqIeALBm33XabEyKKDyIfEgU6qy0pkqp25t2yZYsLkPbUU0+5mCKyosjKUq6JqZlyfXOMGwIQgAAEypaABMjIkSNTxi9hIh+P4LJdiQ/FD9GeNGFLSu/evW3ixIlueuaQQw5xZRSlVTFKgqtpUjppwAVTMw2ARVEIQAACEIBAORGQuAgnWTsUH+SAAw6wxx9/PKP4CNbp27evm56R06pW48yaNSt5WyJF7ZRDYmqmHN4SY4QABCAAgUZFQBaOYLrssstcsDPlXXXVVbbnnnumWUB8eQVGU1Cz5557zp5//nm3embDhg3+tjsWMp5ISsNFuMBZtQhQaRICEIAABCBQFwFNsygSatu2be2EE05w/iFaqqupFVlLZB0JOqBqV94FCxZkXE3z29/+1kVifeWVV5JdPvvssyaLSTkkhEg5vCXGCAEIQAACjY6AltwGkwKUSUBcd911du2117rYIRIk2mVXwcpqSytXrnTixd9XPJHvfve7/jL2R4RI7F8RA4QABCAAgaZAoGPHjvazn/3MbrzxRrcs99hjj83qsSVWfvKTnzifksceeyxll9+sGihxIXxESvwC6B4CEIAABJouAUVSlb+HgpopgqqmV1577TU788wz64Qiq4eisyr+iPxEtPT3+OOPtzZt2tRZL443sYjE8a0wJghAAAIQaBIE3nzzTevRo0fKs0qIhHfkVQE5tPbs2dO6dOmSsiJGVpAPP/zQTeWoveDy35SGY3pBHJGYvhiGBQEIQAACjZ+AApHJEhJMWno7depU69Onj/3gBz+w0047zTRtE44j4usoHPxee+1l3/72t+1vf/ubm96RIFE8kXyW8UYVR4SpGf8mOUIAAhCAAAQiJiBxIUuHT4oHsnXrVtOUjaZnZP3Q6pnaRIjqtWvXzhYtWuSW8Y4ZM8bt0CvH1yFDhtgbb7zhm47tESES21fDwCAAAQhAoCkQkPiQ9UKh20ePHu0cT1esWOGmWpQfThIp8+fPdzvzyuIhsTJixAhX7PLLL08pLoES94SPSNzfEOODAAQgAIFGTaBDhw4pz3fMMcckl/HKifXiiy82P9Uix9Tp06enlPcX8hP53ve+5y/dsRwCmyFEUl4ZFxCAAAQgAIHSEggu45V/SLY78moaRuHeferVq1e9q2982VIeESKlpE/fEIAABCAAATNT2PY5c+bYSy+9ZOPHj3dM3nrrLevatWvWfBR9VUt4u3fvbs8880ydfiVZNxpBQYRIBJDpAgIQgAAEIFAXAVkzBgwYkFLkvffes4MPPjglz18ojoj8Qw4//HA76qijnMOqpnCuvvpq23vvvX2xsjgiRMriNTFICEAAAhBozASOPPLItMeTo6nCvStpZY2mXRRt9YgjjnABzMIVEolEcrWNwr4H96oJl43TNUIkTm+DsUAAAhCAQJMkcMABB6Q8twSIHE2bN2/uLB933XVXvVMtWu67atUqF+Jdq26U3n33XbdZnlbjxDUhROL6ZhgXBCAAAQg0KQJaqqvgZn4VjVbM+HgidVk4FBRNAuRf//qXEx6aqqmurk5hJ4uKbzflRgwuECIxeAkMAQIQgAAEIBCeStFUjLdwyLLh78spVf4jmrqR1SS4nHfYsGEuImuYpsrHVYgQ4j38triGAAQgAAEIxICAgpa98847bifegQMHWvv27ZMrauoannxFFNhs3LhxyWKTJk2ySy65JHmdzUlUId6xiGTzNigDAQhAAAIQiICAxIemaLTxnZbxysIhAaFAZtkmTef4eCJaXaPlvIcccki21SMvh0UkcuR0CAEIQAACEMhMQH4hPo6ILyELx/Dhw134d5+X6Sg/kC+++MJGjhzp/EXWrVtnF110UaaiWeVhEckKE4UgAAEIQAACjYeAt2QEnygcut1bOeSUKkvHfvvtl/T/0E688ifRvYULFwabie05UzOxfTUMDAIQgAAEmhqBqqqqlEc+9dRT7f3337fKykobO3as23emdevWKWWCF4ceeqhzXj366KPt008/Dd6K7Tm778b21TAwCEAAAhBoagTkzzFv3jzTcl1NyWhX3Y8//tg5qn7wwQcZA5kFGSkeyaZNm0yC5M4773S3FD5+2bJlptU2cUwIkTi+FcYEAQhAAAJNkoCsHaecckpyqqVt27Zuma5g/Pvf/66TiYSGdun1wcvk6Co/j3bt2rmIrAsWLKizfqluMjVTKvL0CwEIQAACEKiHwGGHHWaffPKJ6fjyyy+bD16muCAfffSRLV++3Fk6grFE1KRWzhx44IEpratsHBNCJI5vhTFBAAIQgECTJiAhIR8PiYcZM2Y4FvIXUeTVbJJWzIT9TebOnZtN1cjLIEQiR06HEIAABCAAgdoJ3H333TZkyJCUAlo5E7ZwpBQIXUjA1LZzb6hoyS8RIiV/BQwAAhCAAAQgsJNA2JKhO7KOZMrfWWvHWa9evWzvvfe2jRs3OuuJYovcfPPNFt5UL1yvlNcIkVLSp28IQAACEIBAiIBigISTjw2ifIkN7Rujci1btnRHTdl4sSGn1QkTJriIrPIv8fnhNuNyjRCJy5tgHBCAAAQgAAEza9OmjcmSsc8++1jXrl3d8t01a9Y4wTF06NDkqpjaYGmVzOeff+5uh51Ya6tTynxCvJeSPn1DAAIQgAAE6iHgLRyjRo2yLl26uB1366nilu360PDXXnutbd68OVkl2114CfGeRMYJBCAAAQhAoOkSkHDwwciaNUsP/+WX9G7ZssWFd1dAMwmWrVu3OmjBqZlbb73VBUmLE02mZuL0NhgLBCAAAQhAIERAS3mnTZvmcrWE909/+pNpqkbTL+EN8oJVV61a5aZ2gnnr168PXsbiHCESi9fAICAAAQhAAAI7CWjzuoceesjtG+NzJUi0Iua6667zWXUeZSEJJ29ZCeeX8jrdxlPK0dA3BCAAAQhAAAKOQNjRVEHKDj/88KzpaKVNOJaILClxS1hE4vZGGA8EIAABCDR5AlqWG05ailtX8ittFPhsw4YNrqiW9Sr/rrvusj322KOu6iW7hxApGXo6hgAEIAABCGQm0L59++QNxQ1R0i68ih2iqKuXXnqpC1gWjB+SrGDmnFsVS0Q+JVoGHFcRojEjRIJvjnMIQAACEIBADAgoFoh8PLyAWLZsmf3zn/90I2vevLl17ty5zlH6PWm0m29c95jxD4AQ8SQ4QgACEIAABGJCwAsQPxwJiwULFjgLh8+r66gluz6o2cKFC5PLf32dbGOJ+PLFPCJEikmXtiEAAQhAAAIFIBC2cPjdedW0fEc0baO0YsUK80t0x40bZw888IANHjzYOnbsmBzF5MmTXYj4ZEaJTxAiJX4BdA8BCEAAAhDIRGD+/PlOYMgSouQFhiwc++67b6YqGfPkIxLnhBCJ89thbBCAAAQg0GQJaPnumDFjUp7fWzhk7cgmyXISTrKaxCkRRyROb4OxQAACEIAABOoh0BALh2KPfO9736unxdLexiJSWv70DgEIQAACEMiagN8/RhVOPPFE6969e7Kudur1af/99zf5gijttddeNmPGDKuurva3Y3VEiMTqdTAYCEAAAhCAwA4CCkR25plnmo8pomka7R+jgGUrV66s1+HUO7CqNW2EF9eEEInrm2FcEIAABCDQpAloiW1wma2fkqmqqnIrZYL3agO1fPlyU5TWjRs31lak5Pn4iJT8FTAACEAAAhCAQP0EFFXVp6C1w+fVdpRFRXvMaMM7/dNqnDglLCJxehuMBQIQgAAEIPANgS+//NJNxXgg2j/mvffec5d+SW8wbohuKIjZ+PHjfRXTLr5KCgsfTIlEInhZ0nOESEnx0zkEIAABCEAgMwH5gwQDkamUhIUcUcPLejO3UB65TM2Ux3tilBCAAAQgAAFHYL/99suaRG0xQzRFE5eEEInLm2AcEIAABCAAgQITUDTWhkRhLXD3WTXH1ExWmCgEAQhAAAIQiJaA9pcZOnRoslO/iZ0yevfubf3790/eCzqy+kz5k8yePdu0A6/aGT16tL8VqyNCJFavg8FAAAIQgAAEdhDQDrpB8aDpFAUpk+g47LDDrG/fvlmjmjt3btZloy7I1EzUxOkPAhCAAAQgkCMBv/FdNtXbtWuXLKaN8uKasIjE9c0wLghAAAIQgEAGAkGBkeG2ixVSV/6WLVtcdFZN2cQhVSTitJg4DkQYAwQgAAEIQCAmBIYNG5YciXxEJB5GjRplFRUVyfy6TgYPHmzasTdcPpsQ8aoThURAiNT1BrkHAQhAAAIQKCGBsICQMGmIENHQJSbC7cRJiOAjUsIPGF1DAAIQgAAEmjoBhEhT/wTw/BCAAAQg0KQInHjiibF6XpxVY/U6GAwEIAABCEBgJwFNoQTThAkTkpfZ+G/4KRnvK5KsHKMThEiMXgZDgQAEIAABCAQJdOjQIXiZ8/k+++yTc91iV2RqptiEaR8CEIAABCAAgVoJYBGpFQ03IAABCEAAAqUlUNfmdMF7y5cvr3eg2rnXJ0VnLZS1xbeZ6xEhkis56kEAAhCAAASKTKBjx44pPQTjioTvpRTMcNGvX79krkLFx0WIMDWTfC2cQAACEIAABCAQNQGESNTE6Q8CEIAABCAAgSQBpmaSKDiBAAQgAAEIxIuAplCUFixYkDawoUOHpuWFM8aMGZPMCpbff//9k/mlPiHEe6nfAP1DAAIQgAAEsiQwfPjwZIj3bOOIqFyfPn1s6tSpWfayo1hUe80wNdOg10JhCEAAAhCAQGkIrF69OueOp02blnPdYldEiBSbMO1DAAIQgAAECkBgy5YtyVbiFqY9ObAcTvARyQEaVSAAAQhAAAJREPAh2iU8OnXqZK1bt3bdKj+4lDc8lq5du4azLBhHpHv37sm20gpGnIGPSMTA6Q4CEIAABCCQLQEvRHx5iY9Ro0ZZON/fDx/9HjPh8trDpr44IqqTjR9KuM+GXjM101BilIcABCAAAQiUkMDWrVuz7j3Oe8z4h0CIeBIcIQABCEAAAmVAYNWqVWUwyuyHiI9I9qwoCQEIQAACEIiUgJ8a+eyzz2zRokW2ePFi1/9ll11mPi6InFjffffdtHGtWbPGvGhp27at9e/fP1mmRYsWyfNSnyBESv0G6B8CEIAABCBQDwE5qbZv3942b97sSmrKJejj0blz57QWtCnehAkTXL5EyOjRo9PKxCGDqZk4vAXGAAEIQAACEKiHQJs2bezb3/62EyO9evWqp/TO2w3xKdlZK7ozVs1Ex5qeIAABCEAAAmVDgFUzZfOqGCgEIAABCEAAArkSYGomV3LUgwAEIAABCEAgbwIIkbwR0gAEIAABCEAAArkSQIjkSo56EIAABCAAAQjkTQAhkjdCGoAABCAAAQhAIFcCCJFcyVEPAhCAAAQgAIG8CSBE8kZIAxCAAAQgAAEI5EoAIZIrOepBAAIQgAAEIJA3AYRI3ghpAAIQgAAEIACBXAkgRHIlRz0IQAACEIAABPImgBDJGyENQAACEIAABCCQKwGESK7kqAcBCEAAAhCAQN4EECJ5I6QBCEAAAhCAAARyJYAQyZUc9SAAAQhAAAIQyJsAQiRvhDQAAQhAAAIQgECuBBAiuZKjHgQgAAEIQAACeRNAiOSNkAYgAAEIQAACEMiVAEIkV3LUgwAEIAABCEAgbwIIkbwR0gAEIAABCEAAArkSQIjkSo56EIAABCAAAQjkTQAhkjdCGoAABCAAAQhAIFcCCJFcyVEPAhCAAAQgAIG8CSBE8kZIAxCAAAQgAAEI5EoAIZIrOepBAAIQgAAEIJA3AYRI3ghpAAIQgAAEIACBXAkgRHIlRz0IQAACEIAABPImgBDJGyENQAACEIAABCCQKwGESK7kqAcBCEAAAhCAQN4EECJ5I6QBCEAAAhCAAARyJYAQyZUc9SAAAQhAAAIQyJsAQiRvhDQAAQhAAAIQgECuBBAiuZKjHgQgAAEIQAACeRNAiOSNkAYgAAEIQAACEMiVAEIkV3LUgwAEIAABCEAgbwIIkbwR0gAEIAABCEAAArkSQIjkSo56EIAABCAAAQjkTQAhkjdCGoAABCAAAQhAIFcCCJFcyVEPAhCAAAQgAIG8CSBE8kZIAxCAAAQgAAEI5EoAIZIrOepBAAIQgAAEIJA3AYRI3ghpAAIQgAAEIACBXAkgRHIlRz0IQAACEIAABPImgBDJGyENQAACEIAABCCQKwGESK7kqAcBCEAAAhCAQN4EECJ5I6QBCEAAAhCAAARyJYAQyZUc9SAAAQhAAAIQyJsAQiRvhDQAAQhAAAIQgECuBBAiuZKjHgQgAAEIQAACeRNAiOSNkAYgAAEIQAACEMiVAEIkV3LUgwAEIAABCEAgbwIIkbwR0gAEIAABCECg8RFIJBKRPBRCJBLMdAIBCEAAAhCAQCYCCJFMVMiDAAQgAAEIQCASAgiRSDDTCQQgAAEIQAACmQggRDJRIQ8CEIAABCAAgUgIIEQiwUwnEIAABCAAAQhkIoAQyUSFPAhAAAIQgAAEIiHw/wGq3twRIcmRYwAAAABJRU5ErkJggg=="></p>
<p>The sound from the whistle reaches the cliff face and is reflected back to the train. The speed of sound in stationary air is <em>c</em>.</p>
<p>What whistle frequency is observed on the train after the reflection?</p>
<p>A. &nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{(c + u)}}{{(c - u)}}f">
  <mfrac>
    <mrow>
      <mo stretchy="false">(</mo>
      <mi>c</mi>
      <mo>+</mo>
      <mi>u</mi>
      <mo stretchy="false">)</mo>
    </mrow>
    <mrow>
      <mo stretchy="false">(</mo>
      <mi>c</mi>
      <mo>−</mo>
      <mi>u</mi>
      <mo stretchy="false">)</mo>
    </mrow>
  </mfrac>
  <mi>f</mi>
</math></span></p>
<p>B. &nbsp;(c + u)<em>f</em></p>
<p>C. &nbsp;(c – u)<em>f</em></p>
<p>D. &nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{(c - u)}}{{(c + u)}}f">
  <mfrac>
    <mrow>
      <mo stretchy="false">(</mo>
      <mi>c</mi>
      <mo>−</mo>
      <mi>u</mi>
      <mo stretchy="false">)</mo>
    </mrow>
    <mrow>
      <mo stretchy="false">(</mo>
      <mi>c</mi>
      <mo>+</mo>
      <mi>u</mi>
      <mo stretchy="false">)</mo>
    </mrow>
  </mfrac>
  <mi>f</mi>
</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>For fringes to be observed in a double-slit interference experiment, the slits must emit waves that are coherent.</p>
<p>What conditions are required for the frequency of the waves and for the phase difference between the waves so that the waves are coherent?</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>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 points illuminated by monochromatic light are separated by a small distance. The light from the two sources passes through a small circular aperture and is detected on a screen far away.</p>
<p><img src="data:image/png;base64,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"></p>
<p>Two points illuminated by monochromatic light are separated by a small distance. The light from the two sources passes through a small circular aperture and is detected on a screen far away.</p>
<p><img 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kD7GHRQUSJABCaFACWNScE83ZXMRtm2fQi4m1K38CISG+xOHzqeW4P5FInTPUio/QYhQMNTBnEUmWlsAnq3+cZuEVk/HQjoxS1d300Hz1MbiQARIALjRICSxjiBJDFEgAgQgelAgJLGdPAytZEIEAEiME4EKGmME0gSQwSIABGYDgQMu86RT9DQiwgYiQDFrJG8RbYOR8CwSYMe7hvOpbQ/FwnorULJRTvJJiKgJaB3oUPDU1pCtE0EiAARIAIjEqCkMSIeOkgEiAARIAJaApQ0tDRomwgQASJABEYkQEljRDx0kAgQASJABLQEKGloadA2ESACRIAIjEiAksaIeOggESACRIAIaAlQ0tDSoG0iQASIABEYkQAljRHx0EEiQASIABHQEqCkoaVB20SACBABIjAiAUoaI+Khg0SACBABIqAlQElDS4O2iQARIAJEYEQClDRGxEMHiQARIAJEQEuAkoaWBm0TASJABIjAiAQoaYyIhw4SASJABIiAlsCwSSMZdqHKZILJshP+waS2Dm1PAAGJdzkc/ksTIJ1EEoEJIJDsgavKAovDj8EJEE8ic5OAien+MMVVhF01sP7bPfjW2WP4yHEUjSvn5kwL6LcJcsYVZEiWBChmswRFxXKKgF7c6t9pDP4Kziffx8YHv47qh+djd+NPEKabjZxyJhlDBIgAEZgKAjpJI4nBwAm0wYaq8vkoXvEV2Lw/w8neq1Nh37TRmT48lcSgfycspvXY5+/AfkcVeMY3mUpR29yOcFybwa8jGmyDo8IilbHUovl4GHGR3CX4HeUwVTiwr7kWlrThxox6pio4XH4d2R4015bK+k2iLJdfkc+VDCLsd6X0myyocLjgD2sHLLLRNW1cnT8NTRueyreYBZLRTk3f04vr/HHlWFqikzQuI9DuBTbej/IiM8zFX8LDtjM4ePIctKeqsSihsjdK4BA27fJiZv0h8FHERKQF89/cgs17A3JSuI7znm0oK38FeNyPGEsg5l+Jrtq12Or5IOWvjp/i5JwdCLNriHRsxvKiT6V6q09gXmMQCcbAYj9EydtbYd16BOdFRycRD76ER1YfRcEWr1SG13/qVrRVbsPeYD8AXsaJzRtOoWRPj2gjS/wGTxUcROXjh+W7U9nGEXXdKB+ql3sE8iFmgeR5Dx4tq4d/3rcRSTAw1oM9JaewwboTnvPXcw/7ZFrE5zS0r0TIyWwoY3bfRXn3FRZyrmMQGphvIKEtOmXbAD8/5dcrnXuCDfgamJDmB97ei8xnL2OwOVmIuyLRzZw2gQl2HxtQcWjLyNuZvhvwMbsgMJuzm6V5VNyv+F6qmy5b0blYrivHhmKPaoNmIytdmvJ5upmPMZsef3kUs5n9TI3JYfqEejz/NvTiNuNO4yp6T/4MXoEPTc2Rc9fN0hBV1Iv2wOXJzGekawiBQiwoWQR09aIvnkSy91c46AVKSywoVMvOxcrGAFh7HZZkeFcqIg8/Ri1YtnAu0ooUWlBSGkFb+7sYhCQn0liOC/6j8Hg88Hj2wVG5EvXej2VtM2C5+4uwel+G88gv4fd0ZAxvZatLNZ428o6A0WKWj7i+i/a2IIRlCzEvvYOI/S/adgKBabyiNA0Jkudw8uBJIPoMKmcVqOPYBSX18CIon0zyLqqnaYOC2F15m+pjcc6k4POo90ZlHknEe/aj1jILJZUv43Q/H7P6C1Tt8cBpA7pCEcRhRmHZVhwLNePe/jewa20FSmYW6Mx7jKZrmrqAmj1GAqPF0XjGLBDdXYlZ4lwin0/kf7egpP7QGG3Ov+KapJHEYMcBPOldAWfoijQ+zce6xb8EBnwNwO69OBymCfH8CIN1On6W/B1pXImiZBivb23A8VVu9CXa0Vj316iufggrLR8j1KUkFk7CjMIlVlTXNeLn4rxLAO4HL+DJykewS33mZBRd+QGUWjHhBEaJo3GNWQE2Z7c8l6ecB+X3yNNYWaQ5dU54u3NLgabl8gR43d+gqvjmDCvNKCq/HxuFkzQhnkFmKj9KixSUq37FEv6MzXqYTOvhCl9RdmreFV9249TZD1OT5bxEvBPNFcWocvUgGY8g1AWUfvlOCJooScb6MdLjh2ahDNWbarFRiOCdc5dRKMbNKLo01tFmfhPI/Zi9hGTRXajaaEHXqd8hmrb6px/B5q/BVOWa1o8gpE4H4jgesPHr/x3zU3tTEVx0D9Zvuwfeg79CbxrIVBHammQC5kVY5diMkt2N+IH/vJgAktFforXtDKxN27F+yS36BhWtwLdevA9vPfZtPNcZlRJHvAeeXU9hB7bg6fVLYJY7jrftIDqi0mqRZPQUntv5HbjUGw05QVXshEddYjuI8IkT6EQ1NlctgjkbXfpW0t58JGCEmMVcWL+1E6ve+g52PndKThyDCHt2Y/sOoOnp6mHmC/PRYUPbJKeHqwgf3ovdJV/H+uXKBHhm4dn4wl9Vw8YnPTsuQfmaEfoKgUxOk/l5BoSVDXgtsAGJXf8VBSYTCizNSHzjNby2bblmcjzTphmYX/00Ol65DxccZWI908x1OHrbZgRe24KyQh4Wc2H9u5fRuvxXqLT8qTimu+Affo3P1r4Mt71MFngzlnzjOQQen4Oj1lnyuO8sWI/OwePHnsCa+TMAZKMr0z76nL8EjBCzgHn+GjzX8Rzuu/A9WAr4fIYc14F92FY2O3/dk0XLhvkakSxqTmERvUfbp9AcUk0ERiVAMTsqIiqQgwT04lZvICoHTSeTiAARIAJEIBcIUNLIBS+QDUSACBABgxCgpGEQR5GZRIAIEIFcIEBJIxe8QDYQASJABAxCgJKGQRxFZhIBIkAEcoEAJY1c8ALZQASIABEwCAFKGgZxFJlJBIgAEcgFApQ0csELZAMRIAJEwCAEKGkYxFFkJhEgAkQgFwhQ0sgFL5ANRIAIEAGDEKCkYRBHkZlEgAgQgVwgQEkjF7xANhABIkAEDEKAkoZBHEVmEgEiQARygcBNuWDEjdjAv32RXkTASAQoZo3kLbJ1OAKGTRr8Z2jpRQSMQkDvK6aNYjvZOX0J6F3o0PDU9I0HajkRIAJEYMwEKGmMGRlVIAJEgAhMXwKUNKav76nlRIAIEIExE6CkMWZkVIEIEAEiMH0JUNKYvr6nlhMBIkAExkyAksaYkVEFIkAEiMD0JUBJY/r6nlpOBIgAERgzAUoaY0ZGFYgAESAC05cAJY3p63tqOREgAkRgzAQoaYwZGVUgAkSACExfApQ0pq/vqeVEgAgQgTEToKQxZmRUgQgQASIwfQlQ0pi+vqeWEwEiQATGTICSxpiRUQUiQASIwPQloEkaVxF2rQf/Ktyhf1VwuPwIx5PTl9QEtzwZdqHKVA6H/9IEayLxRGAiCSQx6N8Ji2k9XOGrE6mIZE8RAU3SUCxYB2foCvjvVSh/ici3Me/trbBuPYLzlDcUUOP6bl5Sh3YWQOPKueMql4QRASJABMaTgE7SGCreLHwR9bWrAdeP0d5LVw9DCdEeIkAEiMD0IJBV0lBRCMVYOG+G+pE2xo9A+vBU6hZ/n78D+x1V8pBhKWqb2zOGCa8jGmyDo8IilbHUovl4GHHRtEvwO8phqnBgX3MtLHzo0bIT/kF+u5hRz6Q3BMnLeNBcW5oasqxwwOVX5HMlgwj7XSn9JgsqHC74w4MaONno0hSnTeMQSEYR9DSj1iINa1tqW/DWmfND7E9GOzVxrBcjALis/Q5UyEPkltpncVyJo0E/HBZe73k1Hi0OP8Qoy6jH4z09RmXZGjtNenEaD8PvSuk36fWJbHQNaX1+7cgqaSSjv4bz1UHsOPI4rEVZVckvSlPWmkPYtMuLmfWHxKHCRKQF89/cgs17A3JSuI7znm0oK38FeNyPGEsg5l+Jrtq12Or5AOpIYsdPcXLODoTZNUQ6NmN50adSvdUnMK8xiAQfioz9ECVpQ5BJxIMv4ZHVR1GwxSuV4fWfuhVtlduwN9jPeyLiQSc2bziFkj090nBm4jd4quAgKh8/jLBogGzjiLqmDDAp/qMI9CPY8ijKX7iMhzoGwFgC4ScW4cybxxHVyE2e9+DRsnr4530bkQQf9u7BnpJT2GDdCc/561LJ5AfwPGpDeWsBHg9xWQPw33cWtdoyiKKj7beY03AKLPEhOjaVo0iut9r/l2iMXBNtiO25E29v0PYByc7VR2/BliAvw8CUON3sRFCcq+1HcO82bHj7TuyJJeT+th0FbZvw+OthqS9lpUvT8HzdZOrrCgs51/Ef3h7mz8bs7m4WU8tP3Qa3Md9eiZCT2VDG7L6LjLEEG/A1MEH9rLT2IvPZyxhsThZK8GLdzGkTmGD3sQGlCNOWkbeFBuYb4BXk14CP2QWB2ZzdTLOXMXG/YoNUN122onOxXFeOGcUeRb72PStd2gr5uZ2PMZseL4rflNhdx5yhK4ylxaNShr+nx1d6/MvltLEjbiMj1jN1KfLl/Urcp8W1UoYxSadsp9iXlLhOlUltZakrVSEvtvTiVue2YehEOIt1w20Hdq/dLl9h5msKzfV2FWJBySKgqxd98SSSvb/CQS9QWmJBoWr6XKxsDIC112GJjnf53cFg4ATaohYsWzgXaUUKLSgpjaCt/V0MQpITaSzHBf9ReDweeDz74KhciXrvx7K2GbDc/UVYvS/DeeSX8Hs6MobOstWlGk8bhiGg+HYRShakog8wo3BBMUqVdgy+i/a2IIRlCzEvPdjEWI62nUBg8GP0nvwZvMiQVbQSjZEI2uvuSI9TRTYuI9DuRXTIsLlsQ9SL9sBlQJQTQOPyy/CLceyBx+VAZUk9vIos8zzc/cAd8D75LzjS6YcnbQiWF8pSlyIvj9/T3DhsOwvvwJr6h2HDm2h5/Yw0jjhsYTpgDAJB7K68LTVXwceRCz6Peq8ysJBEvGc/ai2zUFL5Mk7387Gmv0DVHg+cNqArFEGcnyDKtuJYqBn39r+BXWsrUDKzQJxDSR9THk2XMYiRlVoC13HhXG/aMJT2aOZ2dHclZqUt578FJfWHMovd2OfoM6icVZAWywXahIBB9LjqYZlZgsoXToMPrGL2KuwJ/Ag2vI9QH58BnI2y7a8h9Mq96Hc3Ym1lCWbqzXuMquvGmmCkWjdla6x53kIsE4CubCtQuRwnwO8oD6Buyc36diZ74NragOOr3OjbV435yuUFn5DsigLLlGpmFC6xopr/1TUiGQ3iyKvP47HKRxDy/RRPiMVG0aWIoncDEZiBeQuLIaA3C5sF2Jx+vDXsHcNVhLOQMmwRmxOht4a7swb4IpOt9Z1Y5T6HfdW3y3ctfLGJVzyfqaGMIixZWS3+1TXyxRtv4NXnv4NKay98PX8nqR9F17A25tEB5VQwapOSF87hnWgZNlbdhaJRS1OBySBgLv4SHlav+hWNykOa/OGqK8pOzbsZReX3Y6PQjVNnP0xNlvMS8U40VxSjytWDZDyCUBdQ+uU7IWiiJBnrx0iPH5qFMlRvqsVGIYJ3zl1GYTa6NNbRplEIKHGkXKkrdicR7+tNXVwW3YWqjRZ0nfodourKDF62H8Hmr8FU5UI4eTOKV3xFc9Uvy+IXLlUWqUxCka99n4PyKhuErjM4G5Un1MXDfIHGs6gQHzD8WLbn8/jy0s9ohrk+Raxfu8JPK5dvz4BQtgabaldDiPbi3IXCLHRNj8cRNKeDTGiaz/EeHHEehNf6daxfPkdzgDanlIB5EVY5NqNkdyN+4D8vJoBk9JdobTsDa9N2rF9yi755RSvwrRfvw1uPfRvPdUalxBHvgWfXU9iBLXh6/RKY5c7ubTuIDrlDJqOn8NzO78CljGBBTlAVO+FRlkbyJbgnTqAT1dhctQjmbHTpW0l7c52A6Nv/hrYNDrh6+Ak4iXj4CP5pV6tm2GourN/aiVVvfQc7nzslJ45BhD27sX0H0PR0tTj3Zi6ugqPhz7F710vwi/F2HdGOg2jz3iOVKdCDYUaRdTNeXPU2Htu5D51iPcmGXdtfAsQ+cKt8kXQSba2/lPVfR7RzH3Y+9oWEvd8AABfjSURBVFLKTjFBFaPC4UnNy8XDONEeBOr+BlXFt2aha5i7dj3TjbwvNcU/0uopG7M7j7FA5JpaXFp5kLmaQT08oRt6M/oTqnAShKevHlFWaigrmRQDZB8pq0LE3ddYJHCA2a2CvOrNxuytp1lEXBY1zOopsd4AC/mcmnpLWU2TO93HkdOs1W5TV9MJNU3skO8XzG0vS61iSURYwN3EaoTUqjtezh2IaFZmja5LaWG+vudjzEq+GmAhb0vK/9YGdsj9DLNBWT3FSyVYLORjzoxYSo8RXizCAq12ZlVWcFrtrFWJI93VU3K0xELM59TUE2pYkzsg9wFeJrOP8Fj/MfOdPsTsQqqPJSIB5m6qYYKiH0P7BBtVl2xTnrzpxa2Jt81oSY9/N5YBzTYaZrJ3HAlQzI4jTBI1aQT04ja74alJM5EUEQEiQASIQC4ToKSRy94h24gAESACOUaAkkaOOYTMIQJEgAjkMgFKGrnsHbKNCBABIpBjBChp5JhDyBwiQASIQC4ToKSRy94h24gAESACOUaAkkaOOYTMIQJEgAjkMgFKGrnsHbKNCBABIpBjBChp5JhDyBwiQASIQC4ToKSRy94h24gAESACOUaAkkaOOYTMIQJEgAjkMgFKGrnsHbKNCBABIpBjBChp5JhDyBwiQASIQC4ToKSRy94h24gAESACOUYg6597zTG7xd8DzjWbyB4iMBIB/jXT9CICRidg2KRBv6dh9NCbXvbr/S7B9CJArTUiAb0LHRqeMqInyWYiQASIwBQRoKQxReBJLREgAkTAiAQoaRjRa2QzESACRGCKCFDSmCLwpJYIEAEiYEQClDSM6DWymQgQASIwRQQoaUwReFJLBIgAETAiAUoaRvQa2UwEiAARmCIClDSmCDypJQJEgAgYkQAlDSN6jWwmAkSACEwRAUoaUwSe1BIBIkAEjEiAkoYRvUY2EwEiQASmiAAljSkCT2qJABEgAkYkQEnDiF4jm4kAESACU0SAksYUgSe1RIAIEAEjEtBPGvEw/IebUWsxib9bwb8e11LbjMP+MOJGbKVhbb4Ev6McpioXwknDNoIMz1cCyR64qiywOPwYzNc2UruGEMhIGknEwx44Vn8Vu37zGXwreA38dysYG0DHhgIc22DF6uZOShxDMNIOIjANCZjvQF17BJHGlSiahs2frk1OTxrxAPZufgxti3bjlWc2okyYIXMpwpIHtuKlYzuAHX+LXf5L05UXtZsIEAEiMK0JaJJGEoOdR9DSsQLfd3wV8zVHJEJmFH7hb9B85ClULVCSybRmN+6NT0aD8DTXwmLiw4KlqG3+Cc5cuJah5zqiwTY4Kizy0GEVHC4/wvH08atktBP7HVVyGS6rPVVm0A+HxYIKx/Nori0VyyhDDOn1eBkX/OH0wYd0O7mtmTbwO1Y/XKp+E0wVDrgyhzeTUQT3O1AhtneYMhmtp485RCBteCqJQf9OWEzrsc/fMXzsieZnxLClFs3HlaFveUi2woF9Sl+w7IR/kMd3Rr0hcceF8zIeNa750PrQ2BtE2O/S9KHh4lzbh/TL5JA3Js0UTWq4jEC7F1GhGAvnDZMUzALKHnoIK5fQzei4eyjeiZZHHsYLFx9CRywBxk7hiUW9ePPAWY2q6zjv2Yay1ScwrzGIBB86jP0QJW9vhXXrEZyX80byvAePlq1BKzYjxGXF/hX3dW1PKwNE0dH2W8xpOAWW+BAdm8pRKNarh3/etxFJ8GHJHuwpOYUN1p3wnL8u2SHauRlHCzYhKJZhSES2o6BtEzbvDUhDl+Idqx1vl/wQMXF48xoiT92Ktson8Xr4qiQn+QE8j9qw2v+XaIzwYdAEYnvuxNsb1mKr5wOkp0ANAtrMcQKHsGmXFzPrD4lD24lIC+a/uSUVG5BjuPwV4HE/Ytzv/pXoqs3we8dPcXLODoTZNUQ6NmN50adZxH4S8eBLeGT1URRs8Ur9g9cXY28b9gb7AfAyTmzecAole3qk4ffEb/BUwUFUPn5YnTuU+tAofSHHPTFh5jHllehmTpvAYHOyUELZmZvvAPd1Pr0SbMDXwAShgfkGtPAvMp+9LOWTAR+zCwKzObuZthQT95cxu+8iY+wKCznXMaTJkuVjHXOGrjCpPJhg97EBFWOGroz9Utnh7JR1yrGTCDmZTdGlytFuZNijHhpOvlrAsBv5F7OMMfmckRYbUOJQcVVGXKXV0Ssjl0+LXybH7GixL9VNj2vFzsVyv0mPVcWC9PcMm9WDw8hXj+ffhl7cau40JiwvkeBRCch3eaXFWFCodUkhFpQskmsnMRg4gbaoBcsWzoW2FAotKCmNoK39XQwmz+HkwZNAmiwzilY+jQh7HXVLbta3ZvBdtLcFISxbiHnpwkUbom0nEBiEJCfyfSy/8At4PB54PIfhcjyEkvpDqlyzZSkesJ7Ek8430Ol/Y8jwFjDcXa0ZhQuKURr1oj1wWZVHG0YmIMdwVy/64kkke3+Fg16gtMSCQrVZc7GyMQDWXoclabGnFMgy9iHJiTSW44L/qByf++CoXIl678eysBmw3P1FWL0vw3nkl/B7OlLDtoq6rPrC9L0XTrnIPBcLl1kA2bkKP3qfBALJSzj3TiRLRUHsrrxNXQotjtkWfB713miW9UcuFt1diVnKHIP4fktaQkD8LFy1d2NmySN44fR/AjBjdtVuBJzrUrFTuBzbj3XglXs/gnvXJlSWzNKZ9wAQfQaVswrS2lJQUg/vyCbS0WlLYLTYTyLesx+1llkoqXwZp/v5if0vULXHA6cN6ApFEIcZhWVbcSzUjHv738CutRUomVmgM+8BjNoXpqkfUkkDc1BeZYMQ7cW5C/L4tQ4UPgl6NHNCU6cc7RoDASVhZ1VlHZyhK/JSaD7vkPr745c+CrA5u+Wx4JRcUUfkaawsuo7w699D/fH74O47h583Porq6mpUr5yPgdD76dYXLsHK6kfR+PMIWCKCgPsBXHiyEtZdHak1/TYnQvK8iLYdjAXQuHJuujz6RAQwSuwnw3h9awOOr3KjL9GOxrq/RnX1Q1hp+RihLu1FlRmFS6yormvEzxmfkwvA/eAFPFn5iGZl6Gh9QXPqnGae0bTcjKLla7CNDys0/lSdVE3xkLL4/yj7Bn7S/6e4NXWAtv5oAnLCHnKXF0efejI2o6j8fmwUunHq7IfpE8XxTjRXFKPK1YOkeSFWPLwiddUv25YMu1Blskhl9OwtugtVGy3oOvU7RNPuvPsRbP6a/IChbE/pPViqLsfmc4t/QP+lzFVeGiV8AUX1N1C7sQzRd87hQlJp7xmcjWovUPgk5bOoMK2HS5kw14ihTeMTMBd/CQ+rV/1Ke64i7FoPk+j3K8pOzXuWsR+PINQFlH75TgiaM1sy1o+RHhIwC2Wo3lSLjUIE75y7hGRWfUFj3nTbTJ+6SbBYdyurEQRmtR9ggcg1+fAAC3lbpP0NXhZJm4VNlzAZn/QmZyZD74TqSJxj7rqlTKhpZd0xDniAhdwNzAqkJsLZNdbn3sIEoYa1nI5Ik+Gxbua22xisLSwg1mMsEfGyButiZlV8lehjvgZNGXHiPHMinLFEn5vVCUtZTctJ2ceKDQ+ypsBHfEZRmrCHjTX4+iT9iQg73VLDBG6nPHkpTYTbmN3dzWIitASLhdzMbi1jde5zcj2lvS+y02KcKWUWM2vTabnehBKfVOH5GbPS4pmRJ8IzF2ZcYxHfd5lVE0NqvIp+H2YiPKvYl+tav8t88rkrETnJWmqWMs5fslO2x9rA3CFlGYgc58IW5u6Tznmj94VJDZ8pU6YXt7rLkBKRADvitEsnLH4y4MBrmtghXyitM0snB8UZk9cuvYZMnvYJ1BQLMW+TfAKGlLjdTWs0SYPrHmAhn5PZrYLoF2Apq2lyaxK8ZF8icpq18mQi+i/jImCYpMGTQizkY061nuR3d0BOUFx0IsICrZrYEGpY0yEfO+22a1Z/XWORgJs1yZ1VtIGXcwfSLzhiIebTxplemQnEPZmi8zJm01ZCKRcUmaunMpMGp87j44Amhm3M3npajo3hkgavN3rsp8e9ct76BXPby1KrBXkMu5tYjSCd27hv+PktLc6z6QuTGUBTpEsvbk3cFqPdXfHJXwOabTTMZO84EqCYHUeYJGrSCOjFrWbkb9LsIEVEgAgQASJgUAKUNAzqODKbCBABIjAVBChpTAV10kkEiAARMCgBShoGdRyZTQSIABGYCgKUNKaCOukkAkSACBiUACUNgzqOzCYCRIAITAUBShpTQZ10EgEiQAQMSoCShkEdR2YTASJABKaCACWNqaBOOokAESACBiVAScOgjiOziQARIAJTQYCSxlRQJ51EgAgQAYMSoKRhUMeR2USACBCBqSBASWMqqJNOIkAEiIBBCdxkULvFnwg1qu1k9/QkwL8xlF5EwOgEDJs06KvRjR5608t+va+Ynl4EqLVGJKB3oUPDU0b0JNlMBIgAEZgiApQ0pgg8qSUCRIAIGJEAJQ0jeo1sJgJEgAhMEQFKGlMEntQSASJABIxIgJKGEb1GNhMBIkAEpogAJY0pAk9qiQARIAJGJEBJw4heI5uJABEgAlNEgJLGFIEntUSACBABIxKgpGFEr5HNRIAIEIEpIkBJY4rAk1oiQASIgBEJUNIwotfIZiJABIjAFBGgpDFF4EktESACRMCIBChpGNFrZDMRIAJEYIoIUNKYIvCklggQASJgRAKapJHEoH8nLCaT+FsV/CtxU3+lqG0+CH940IhtNLDNl+B3lMNU5UI4aeBmkOnTiIByHlkPV/jqNGr39GmqJmkojS6D3XcR/Pcq1L+YGxvwU2yw/j1cPZQ4FFL0TgSIABGYbgR0koYOgsIleGDb9/Diqk7U/08ngnG67NWhRLuIABEgAnlPILukwTGYb8cax9/D1vEqXu+8nPdgpqKByWgQnuZaeYiQDwn+BGcuXMsw5TqiwTY4Kizy8GEVHC4/whmJPBntxH5HlVyGy2pPlRn0w2GxoMLxPJprS8UyFocf/B4yvR4v4xoyLJluJx/GzLQhiXjYD5eq3wRThQMufxhxbWuSUQT3O1ChDIXqldGWp+3cI8B96GlGrUUazrbUtuCtM+eH2JlNXCEjHiy1z+K4MiQ+Qsxm1hs21jR2mkw6sR0Pw+/SxOOQuBY7yLSP2eyTBs8b8xZimRDBO+cuge41hvSLP25HvBMtjzyMFy4+hI5YAoydwhOLevHmgbMauddx3rMNZatPYF5jEAk+hBj7IUre3grr1iM4Lzsled6DR8vWoBWbEeKyYv+K+7q2p5UBouho+y3mNJwCS3yIjk3lKBTr1cM/79uIJPjwZA/2lJzCButOeM5fl+wQ7dyMowWbEBTLMCQi21HQtgmb9wakpBAPYO9mO94u+SFi4jDnNUSeuhVtlU/idWWcO/kBPI/asNr/l2iMXANjCcT23Im3N6zFVs8HFF8ar+fuZj+CLY+i/IXLeKhjQPRh+IlFOPPmcUQ1RkvxOEpcyfFQ3lqAx0Nc1gD8951FrTb2dGK2KKs4kuxcffQWbAnyWGNgid/gqYKDqNysjJz0I7h3Gza8fSf2iP0vFdePvx6W4jErXZqG5+smU18JNuBrYALKmN13Ud2btjHgY3YBTLD72EDagcn9AHC/59NLZi80MN9AQtOwi8xnL2OwOVmI7xb5C8zm7GbaUtJ+xW9XWMi5jiFNluLbdcwZuiLLyfRjhi7VCmm/5PPh7JR1ynYmQk5mg6xLlaPdyLBHPTScfLWAYTfyL2aVeFTiTnFNpm+ziSvGpJjJkKWNd91zT6auDBuUPiDWzZDNFJ1ynCa6mdO2eGjfUkSyLHWp5fNjQy9ux3Snka+Jc+rbdRmBdi+ipcVYUKh1SSEWlCySzUtiMHACbVELli2cC20pFFpQUhpBW/u7GEyew8mDJ4E0WWYUrXwaEfY66pbcrN/cwXfR3haEsGwh5qULF22Itp1AYBCSnMj3sfzCL+DxeODxHIbL8RBK6g+pcs2WpXjAehJPOt9Ap/+NIcNbgNxeoRgL581Q6wFmFC4oRmnUi/YADYFqwOTgphKPi1CyoFBjn+xDZU9WcfUxek/+DF5kyCpaicZIBO11d6THuyI72zgS5QTQuPwy/GLMeuBxOVBZUg+vIss8D3c/cAe8T/4LjnT64ckcSs1WlyIvj9/TTg/ZtVNAaYkF2jDJrh6VGpZA8hLOvRMZ9nD6gSB2V96mWQ5tgqng86j3agcE0muM5VN0dyVmKXMM4vstaQkB8bNw1d6NmSWP4IXT/8kHLTG7ajcCznVAVy/6+NxK4XJsP9aBV+79CO5dm1BZMktn3gNA9BlUzipIa0uBtiOPxXAqO8kEruPCud60YaiRDBg1rkaqPNqxUeNoED2uelhmlqDyhdPo5/Jmr8KewI9gw/sI9fGZttko2/4aQq/ci353I9ZWlmCm3rzHqLpGM9b4x2/KvgnKlYUFGzOvdLMXQiX1CJjnYuEyC/CO3sHMfevgDB0Y/o4h2ZNZYQyfBdicfrw17JXdVYRd30P98fvg7mtB9XzlLoE/T/I+gOKUrsIlWFnN/x5FI5/gPPIqnn+sEtaQDz2Nd0nlbE6E3qrDkhu4dEkpoq2pITAD8xYWQ0BvFuqziKsspAxbZJQ4SoZd2FrfiVXuc9hXfbt818KfJ/GiC8AyVXARlqysFv/qGvmCkzfw6vPfQaW1F76ev5NKjaJLFZXHG9l31+TvceLVY4ja/hb11rl5jGQqmjYH5VU2CMqVumpCHH0hfjLmLzOKyu/HRqEbp85+mD5RHO9Ec0Uxqlw9SJoXYsXDK1JX/XJt3nGqTBapjLwv7a3oLlRttKDr1O8QTVvl0I9g89fkBwxle0rvwVJBSRh8Rckf0H8pc5WXRrpZQFn1N1C7sQzRd87hQlJp7xmcjcoT7GLxJOLBZ1FhogfDNPRydFOJR+VKXTEziXhfr3gyFvdkFVc3o3jFVzRX/bKsZA9cVRYp9hKKfO17NnH0sWzP5/HlpZ/RDHN9ilj/SM+czYBQtgabaldDiPbi3IVCuY9SzGpmlJWJnqETRiwWYt6mGiYIdczZPZVT4NLkkt7kjOGnnRLnmLtuKRNqWll3TJz1ZiF3A7MCqYlwdo31ubcwQahhLacj0mR4rJu57TYGawsLiPUYS0S8rMG6mFkbvCzCRSX6mK9BU0Z3UpEXc7M6YSmraTkp1WMDsg0PsqbAR1yQvFjCxhp8fZL+RISdbqlhArdTnniUJjVtzO7uZjHRMQkWC7mZ3VrG6tzn5HpKe19kpyPXRNlSmcXM2nRarmd4r6oNyMuYVeNROS8ofhYYNAshRo8rbYx+l/nEeLjGIr7vMivk2BsmZpnab0aII7GukOoP7BqLnH6R1QhgUBb+yBPhVrubheR+xOS+JdS5WZ/Yj6ZXzPLg1YtbnaTBQWb+2ZjdeYwFRGeq/UBe8ZC5Cid1fKK29BoyUbomVa6SnEX+ArPaDzB30xpN0uDWDLCQz8nsVt4xuZ+Wspom91DfRE6zVp5MNLJU/w3XARnv9D7mVOuBCTVNzB2QExRXn4iwQKtdSmZctlDDmg752Gm3nQnKahXeKQNu1lSzNBVLvJw7ICcjmWosxHzODFmZZSbVAROnLG9jlsejt0U+AYPB2sAOuZ/JWD2XRVzpxZbVzlqV2Bs2ZhnjF7UjxxGPxwMZfebHzHf6ELMLqYvkRCTA3PziWOwzw/StUXVNXAxNhWS9uDVxQ7Q3fEbY5t+JZUCzjYCWbJwgAhSzEwSWxE4oAb24zX5OY0JNI+FEgAgQASJgBAKUNIzgJbKRCBABIpAjBChp5IgjyAwiQASIgBEIUNIwgpfIRiJABIhAjhCgpJEjjiAziAARIAJGIEBJwwheIhuJABEgAjlCgJJGjjiCzCACRIAIGIEAJQ0jeIlsJAJEgAjkCAFKGjniCDKDCBABImAEApQ0jOAlspEIEAEikCMEKGnkiCPIDCJABIiAEQhQ0jCCl8hGIkAEiECOEKCkkSOOIDOIABEgAkYgQEnDCF4iG4kAESACOUJgDD/3miMWy2bwr+ylFxEwEgGKWSN5i2wdjoAhkwb9lsZw7qT9RIAIEIGJJUDDUxPLl6QTASJABPKKACWNvHInNYYIEAEiMLEEKGlMLF+STgSIABHIKwL/H79gYZSRDQslAAAAAElFTkSuQmCC"></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>Light of wavelength <em>λ</em> is incident normally on a diffraction grating that has a slit separation of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{7\lambda }}{2}">
  <mfrac>
    <mrow>
      <mn>7</mn>
      <mi>λ</mi>
    </mrow>
    <mn>2</mn>
  </mfrac>
</math></span>. What is the greatest number of maxima that can be observed using this arrangement? </p>
<p>A. 4 <br>B. 6 <br>C. 7 <br>D. 9</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>Monochromatic light is incident on a double slit. Both slits have a finite width. The light then forms an interference pattern on a screen some distance away. Which graph shows the variation of intensity with distance from the centre of the pattern?</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 particle is oscillating with simple harmonic motion (shm) of amplitude <em>x</em><sub>0</sub> and maximum kinetic energy <em>E</em><sub>k</sub>. What is the potential energy of the system when the particle is a distance 0.20<em>x</em><sub>0</sub> from its maximum displacement?&nbsp;</p>
<p>A. 0.20<em>E</em><sub>k</sub>&nbsp;</p>
<p>B. 0.36<em>E</em><sub>k</sub>&nbsp;</p>
<p>C. 0.64<em>E</em><sub>k</sub>&nbsp;</p>
<p>D. 0.80<em>E</em><sub>k</sub></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>White light is incident normally on separate diffraction gratings X and Y. Y has a greater number of lines per metre than X. Three statements about differences between X and Y are</p>
<p style="padding-left:60px;">I.  adjacent slits in the gratings are further apart for X than for Y<br>II.  the angle between red and blue light in a spectral order is greater in X than in Y<br>III.  the total number of visible orders is greater for X than for Y.</p>
<p>Which statements are correct?</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>B</p>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question">
<p>Many candidates chose incorrect options. They need to be aware that there will usually be questions of this style and they need to practice them. The pattern of the answers is always the same and the best strategy is to try to identify a wrong answer which will then help to eliminate incorrect combinations.</p>
</div>
<br><hr><br><div class="question">
<p>A simple pendulum and a mass–spring system oscillate with the same time period. The mass of the pendulum bob and the mass on the spring are initially identical. The masses are halved.</p>
<p>What is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>time</mi><mo> </mo><mi>period</mi><mo> </mo><mi>of</mi><mo> </mo><mi>pendulum</mi></mrow><mrow><mi>time</mi><mo> </mo><mi>period</mi><mo> </mo><mi>of</mi><mo> </mo><mi>mass</mi><mo>–</mo><mi>spring</mi><mo> </mo><mi>system</mi></mrow></mfrac></math> when the masses have been changed?</p>
<p>A.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>2</mn></msqrt><mn>2</mn></mfrac></math></p>
<p>B.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></p>
<p>C.  <math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mn>2</mn></msqrt></math></p>
<p>D.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</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>Monochromatic light of wavelength <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>λ</mi></math> passes through a single-slit of width <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math> and produces&nbsp;a diffraction pattern on a screen. Which combination of changes to <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>λ</mi></math> will cause the&nbsp;greatest decrease in the width of the central maximum?</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>Blue light is incident on two narrow slits. Constructive interference takes place along the lines labelled 1 to 5.</p>
<p><img 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TVuXU4ZKWkTCUT+KWtTskxQrXXuaWMBbBK7fUYCsb7lL40vaXN55/t1ZODoq6VzxSQZ1jcBRu2PyhMr8+/AFhK23+F4w7xjDdqvXz8zX4p6IVm05An1hojE0coJqJXLly83EovfCAIAxFAR29bzcOCmv+222ypKZUCHS4aHDCo2UrVSpUCsr9dff73pu1I7l4s4ePBgo5b76q/b2MP3lqFbr9PtqywfAkCzcK3Ox7AGBQhJhDHl2WefNQYkze0EmBTpIueSWj0EAZDrWdS29VoTiFS1ajc/50HhM1Re1ppp58W58juArtZnEl+SvqM8J0YrCnLzwPBBHU/fLOeMf1hGTzlXtk4QrK5jBIC6cqzk7VEz+VPCqksI5t///nejxvKemxILJoalIratR0LzEGAdbFP+EsDhN503b54pp5IGGNaiBOfzEIqeo56r6yvzZO2OhqH+Udc+urVf/ZDMHDdJHjvyAvnFAVuIB3x66aPbHMOHcnEAycDNjPQBBJQqwZh0ww03yJtvvmnUS9axWdwzlc6UG98l6J31IO4awg01hDDeP+eChKWAmS9Ck8D6nZtWPyQzjvmajJfj5P+P2/Nto1HuXgNA87OwsXrgJn/wwQdlzJgxxurK2hWJmsU9U+3MUXVJ9rb1NzI3jfMl2SDJeMS68e677/b2QNlqq62MoS3PA6qj/ffyvwac35eFUw+X7fr4kJ1vcddfT9WuVvi9FBwgpG/UqFFy9NFHG2mkydhYX+PumTw3LSeLCjls2DDnSCBcMVTBx3gUByl9IvX++te/euEnDwX6Q81NIop4U/pFDWrd27wh7QvPkD0HHCw39D9DFnkGJ2MFgHbneNN/IqQPt4uG9LH2AqTEvLITmbpnUHt9pI9REyhLJBAqOa6VJJCiPlPz1hfBA6obRonqhbigSE7v27dvwhq1Q1YvmSqH7Xm6LB09Ra4460AZ6FFy6lwCQJUTLfCq29aj3kZJQapBBnzWrBRcJnmAioQCbFkigZhHEkj5njKhcekaPSeX9xTyZksM1r+//vWvzSZMlHzBj8y8WRvrA62r345lcvW4c2WRiLTPOEg2W6vXO+F+hPz12lnGLsxfuiUAtIvjzf9Gt61PCkpQkEYlFsalOFCRrK6kkUBZ4mnTQIrbCDeSD+rdu7dRmSnxQjAE4MSiTN3fJF6ZMXtvJ6MXrJDOTkL8kv7uk3OG5d9hLQDUxxVugD4I58NFUSmkDzBgJeXmjK4/o0BFtXTN88wjRWFtEkjxsWLsykPwhLq/WJtZ2/J+8uTJhbiess6zaQAKswOlc4CgBCy1qRLh7UNRRylpQiRQnAAqa1TN81R/arxd0mekKO4MW4tuvI84SPGdZlVzMfgcddRRMnLkSGMgIhOH88KAVjZqGoDyRP3sZz+bYm0rG9trOx9uSAIUbLdqoCAYa7K0OFWMNMTSQkQm2ai9SNG8GSRRkAJ0jY6y4SbrS1LzhgwZIjNnzpQjjzzS5IRiBOKhxcZSGLPKRk0DUBhLEDk5jQGo3W8zpKcW9ur+S/InwKQZJ1FVN9qaNprnidqLdbiadMyfQfKWugswr7rqKpMTW20dqm4StIIVK1bIFVdcIdOmTesqKarnhIq73nrreTM8ab95X5sKoDCjvb09ADVyVyA1qDGkNW4jP1V8iwqJVpKk6kYPRO0lnA8phDRNk7ocoxkkedPGWEczLg8GpF7SQyTuJqFwNRsOV6q3hBRF0ygTNR1AlblxoHLBmoVw0tu4GGyq9FXiCW4GonaqjaXSFJcIQe8Yo9KISCAfoXWAVNfTSEko7iZhPqlukoQJEqjxzDPPJPxSv6+cdzejrEOgYjiAub4aIRFZ86GOIZGQjKzNkoi2ZH9gmcxKHI9UxN1iQ4AZKzCE/xDwRgk1GJWbmOD4b9F2Nu+RnIQEbrHFFvLSSy+ZiB+MXMw1SxIAbiAAbXuuNnPM28ZZgib7fN7yA/EkmzNnTopfKMlX5PYd27GnjV+JEaRbURALa138eCQEf/Hv836uNNekvivNP/4bRhpKlKjfjvVfXMphkaTGLe3ykKsPU4PeUUEJcIjPi7Ue10OlXp65Ef3zj3/8wwQzPPnkk3LrrbfmcpOw3YUP6Z7nnOLHOgM03kGZPyswYTpPc1WJyjxnl7khOVn/sV4kCCFqTQW0iREwLgOIGCmHVHLJIEEyooKSckbgQ3zNucMOO5gtAR2n0tVc3SSE4vGw+uEPfyhrrbWW9OnTp6tNljfMG2NSNWNXlr6zHtOUAG12YGKtBoCon6xHCVUDqAsWLDB1fpCepGz5UtWo4ICW4XrjAh7WgVRCiIKURGmSx10oyU2CKv31r3/dBPkjuZNKf7qMQVvunVWrVrkeVlj7pkrYhrk//vGPjaul2aRl9A4AMET8aOUEqtNhzeTpD5BmzJhhtmHoET8a7cThPWopYANUvLoQUh7VEUmKAQZpDJgIMkD9xroKbbPNNmb+BKYjCfkjoZySLjyI2AqRCCbcJHFLLJFAjAMfaFupKkO1uQ8YMEBQl1HRy0BNA1BM7qyXmhmYesMAPNRa/qKEkePee+811dy54bmhkVY2pUei/SS9x/dIhQRXgNIXgCRZHJAiCVF/eZjyUOG7avSlL33JADntgQMf1qxZY4Lc6Q+NIivAKAtaJmoaFReDSSuAs9LNw03Jtn2E9CGJyKmEJwALgxFlLuNGm0r9RX8DBFlD6+hHQUqEEvOgP1LR3ve+90WH6fF+1113lSuvvLJnNkmkJWlyWJoZI++mS9RHquTLjQxbk7dNA9CacKvkg2A8ISaZdRmRQKh7gIA4UyQYhIThL7omtD0tpCjqX1aKghRJTxbJZz7zmdTukLKsK6s9eHkYYaGHkPAupVbig7OlYpkoALRMVyPnXPDhkSoFIaEAlEYCAQ5US2Jo1T2DCgyIkyJxkqbCmjALsKN9KUiRxjxQCA5IItatGJeI7qlGtI3G0ebZX7RsrpYA0GpXv4F+HzduXDcHPVkncesrrgQMKkjV6Fb2ALUaARYffsKlS5fK7373O/PwwOBFXaAoofayFaJtsIEGPOiDBqOWqrrRfm3ea182bWvRJgC0Flyu0xjcqGSQYEBLItasuGLYsoGgcyRqpfUX/SFhsqxjcf1Es0lOPfVUs+kTfVEfSYn+TzrpJFNgW7+zeUUdjsbRqqpr8+Cx6b9ebQJA68X5Go2LFMUwU4kAKmtUYm+Jpa2UmcL6LgqESv3ym2aTcFxSNgkFu7DsKjFfwgBdCRdTnEivy7K/KGDPUv0hPr6Pz03jZvHBjGbsA6nHug/JyLq0EqH6om5iCdYK9HG3Cn28/PLLlboxv7G+ZA1J4DxZJPg7424SnQ++x7333ltWr15tQkWrdp7SAFdLlDhvqgpSxoTUOFtKArvtsb7bBYD65miO/lABqxEqm6sjHl8oRhQFRKUxWIMRTIAflflgFIru54KVM14BT/tDEhLldMkll5ivyEE944wzqlphGY8gBo6vZrHVseKvnBuBG/FzxIpNTDASMatvND5WLT8HFbeW3K4wFmF6NgQ4qQrgQqhsqJcuxM1M+CCbNEXzPPETRlVS+mR9Se3Y3Xff3UgrsmcIw7PxTbPDGYSEI5TQ95qRBw4GI3yvjUhBgpbkqtmWI8ky3bgbwrYPbm5cM7hXdHMjonSU8LnipwSMBOaTTRJXY7Vt0it9qVGKsajPS9B/nkigpHFQ0zGUoQ2gxjcSBYA20tXKOFfWoerIz9IFNzUgp24u1l5icgEsBDDxv2ZVTaPzYc2IJEW1RnoDWl+ke6U2GkCDiuvrDmjyfoj62XTTTeXMM880PswTTjjBSE4tuuXr9NU9gqHKJykwbQIteNjEDU4+5+LSVwCoC7dasG3UTYIRBumGNGI7Qw0M8M2WPJFAleaiUrRSG35jjR0AWo1L4fe6cgA3ie5NghtEi25hJMLohBEpbZvAvBNHJddIIJ8PARcpSnxvGShI0DJchYLngHXUxreH5NC9SagbpEW3UGOjxh/6wnhUJEhV1b3//vu9csdWinodNEdnwUiUg3k+D7Xxgep4uFlsgsi1PZE/SL00wk1C9BASEZ8kbpJ4UnTSsYAU9wXHYSxyNeqQGYN0TiMs21h1iddFqvogpCiBC43iFw0S1MdV99DHQQcdZNULfkL2EGHbBd7bhKQRpJAEBNwkqLFE8UBadKsSOFmH4htVAqRI1KzlRiolSGsk0Pz583W41NfXX3899bf4D4QTYnluBAoStERXCVXShpB4Wg4EtwcARCXkO6KG4tIGtwghbxBqLGojKiyE5LOJ9jGNRYzxJApQvmerCKQo0hTA+iTbSCACMWwjrJDIBIag+sd55XPuPvoKAPXBxRr3wXoQQCpxo2FtJRUMycpv5IIS9ka2CH+kcKFGU1kBNZYwPCJ9XInAgujYHI9qO2LECBNxxENCjTHV+k7qK34MfTNfwK9J5/E2+tk22Zo+4Q81jOg7Tnl8xvG+8n4OKm5eDpbgeKQAoMDJTyYIIKHMCeljSDYkbDSbhDVmFnByqvRF0EKcmANpa7oJcPz3tM821lIkI5K/kg/TFVSV9onhHMsStxsAmnbnNOj3SAckHAXUFi9eLOeff77xV5K4XW1vkmqnjKSGWBsmETc1DwlAauMeQeIngT2p72rW17QHR1JffMc58FcJ9GnH1vL7ANBacrvgsZAyqLEHHHCAWWNuv/32JrOEBGhqAGGpzZJsrdNGjaZCYCXi4YC0RoJXIgU7DxQbUrU5CVD6MLDtS8dL2idG56Vt6v0aAFrvK+BpfAxHZJNg2UWFJcWKfXQw2nBzRyvQZ80YQeKhPlcjjEaUNdFA+KT2uH5I1nYhrK/R6vl6bDU3kraLv2Isoj8FOL9TtNp1XvF+fX4OAPXJzTr2heEIlRZw8p5gdir7qVThlbXc8ccf3yVNozemzdQBHVbiasRY1fYXxV2T5Pqp1DeAQpWNu5YAlU0gRrxv5onEX758eddPZQnx0wkFgConmuQV0JH+BRjjycucIusuzfNM2twojQ1IQ461dUswNsERaUHv9EfwvQvpQya+TwwVHpLO1aZvpGW0EFpS0rdNP0W1CQAtirN16Jf1E1ZbjDVJ7gOdEjc6qi/xrtTIraSK6jHUNWLN5kIEvS9cuDBx3QsoXKKhdFzmgMErKv2ZP8WrsxAlXqJqriaQZ+mriGMCQIvgah36RO2j8gHgtA0WQL0j3nbmzJkVrZkAn5sYFdOFkLb77ruvie+NHsdcsd7aSuPosRzDvNk0SsnVgqvH8crDCimqai4AjSalR9vW430AaD247nFMJAmFuWbPnm3AZgtOnQIGJCoZ4BpJspDSDoc+5Tu5mV0paX9RYnBt1rJpYwEoLSXKwwMfKOp3VoIHquYCdhvfbPpYq2TZb/5XRg3oZYx0vQaMkvN+s0xWpx9Q8ZemASjpUbgZWoUAJlKNdSRhbsccc4x1BE+cR1GQxg0wjIPVF8d+FgLUqNsEvbP2Jf6X8MRq7ppKYzFf3ScmizU43jcPCwxgnCtgzyLZ3+rzDXn6unGyx6Tn5MuLXpbOzv/Kvxd9WZ6btK/sf97iTCBtGoBigufJyhqs2YGqwETiEb1D8ensN9Vbt5aCFEkc9ZUSt4uxJ4+EQooioX7605+aCCaq/uW9RoTqaRyyqzU4DlB4t9566xm1mXsoM626S35y7B/l8AknyoEDySftLX0G7itjDt9JFl0wTxav6nDuumkAypmjnowaNarpgcrNhMQEmD5D0gAp1l+swEgT1EcKP2PsyUNIUcp4QoCfBwyRQUcddZSRqFn6RgI/+OCDpj5SpVQ6276RosQx5wJ732Fyzor75Jxh2dXt+HybCqB6cs0OVNLB8kpM5VX8FXUUnyKRQKR5kQXjY6y44YWNebEgE1yRBai4VVBzudZZrMHx89YADFfXT7yf7p/fkPbF0+XM8Q/L6Cnflj36usOtqbNZFKgTJkxomp23kWy+qwx0v6lE3vWud5mQQb5Herokk0i/xZMAACAASURBVMf70s+oo0mkQCWfdOedd5bvfOc7Sc0SvwOgVKO/8cYbE393+RKVGzWcYI80Y1lafzws4hs9dSybIftsO0Z+LSJtR0yRebu1iTs8RZwBSvhYNWJ/yqKILe5dSYGK+ltLyjLXavNDXayU5FzteJvf33zzTZtmXtu89NJL3RLBbTsvW+SPzrv3wNGyoHO0SMfTsnD8aNl18MMy994L5MAPOFrCOz3SU0891TlnzhyPPXbvasKECd2/iHwSkc6kv7a2ts7PfOYznXfddVek9Ttv77777k7+fFOluSaNxdxtaO7cuZ38FUnTpk3rvPnmmzuvu+468+pjrAsvvDDx+nDe8OqFF15wHuass84yx65Zs8b52PgBf/vb30xfvHqnl2/rPLmtrXP49Ic7/+vYeRapqw+JUr+yMSy7N19zzTWmjmvW/McyniRO+qil1eccdYuEPffc0xhyiCCKu16yjJe0MzdLD6oF/uhHP+pWlMymf6KHMJZhICLLJi+x3wxr77R9Z/L2L9IuDy5d4exqaTqANjMwozcJBhYSsl3XS9E+4u/pC0BSHQFVGuMQRqO89XtYN1NHV4kHZ3t7eyZgah/4LQcNGmQCHljC5CXKwhD6mCfUj3XnXr12lrELn0+YzmA5fK8dxbWYZ1MBtFklZvxqE3J3yimnGAlHhTrAmleiAk62C6SsSNRqmxQJFJ9Ptc8YtfAvqsSkDlIeIAB4HiQ77LCDkaCuG0PF5wvvMDjBV40oirex+dx74IEy6dz+MnvWTfLI6rd9nqxBzz5HZn/hOPnGkPfbdNOtjbORqNvRJfrAE7VSNboSTdXbVPBb8kekD5E6VDMgTtWVACehfkT6xAMSNBKIDJIsPlfARCgiaW56PMBClWTuWYi4WebJH2F5eUDF+KjfBD5wrqi5+H+jDyn7Ob5PBp84TebPmyNnDVxLLm/nyOFy8vSxsmjcHjKwj7s8dD/CfrY1bdlq4IwyV/M8iU/VNWT090rvVXISj6sAirdHspBBwo3rSqSbsU6M9k1QACplViLQQTNrABWB93k0CGKN1Q/KXMkvzUy922Twgd+XWSs6sfpJZ+cCOWf0sEzgZA5NA9DMDG2SA5EmSEAMOrYgRbKpWltJmiFN4hkkNmwDNKSbxSORmCsqZRbAcwwSM5pZQ4kVYnKzEBKeNSxpZxCRREkGrSx9+zgmANQHF0vSB9KE9V01kHJTEtaGFGPNCWCqESogdY1ciG0kSDdLUhezWl/REuKZNQQKkLSdhVCXefjAOwgfs0sR7CxjuhwTAOrCrZK3pS6RghQjCuprnAAvGTAQYLYBJ201tM5WlUQNxYWCkSmJ6I9t711IjUPxzBqStW2SzpPGYp7RAHk2h8prdEoaJ+t3AaBZOVfC46jax74thL6hVqK+qhqpxhqyVXAnYFBSqWF7KkhRG/WPMancTqX8tDGIzXUFQlpmDYYi17q4nLOqy6re8p1t8WtbnuVtFwCal4MlOp66t1dccYW58bGUsrYiMwUpEc0bzWLp5TQxpCRJ5TgLCLLHcBU1DMXbuFpf9QFDcH2cGCeLLxQVP6re0i8Gp7xW4fj88nwOAM3DvRIeizUboKJeErSBv5RtHlA18+aNkjVS7ebF5YM0Y0+VSqTrUpXwldrym0rPSqAHxC7EehatIEppEj/appbvA0Brye0ajMUNj3WW5GgAypb1lEEhSZqC1hhusiZLA6pKLg3WgYzNODY3Oms/G5dGJempLMXo5GLJZS2OJZm1cJkpALTMV8dybhhuUGOJKGLXMgBIpQUstGxrSHYKqu7pp59u9sZETaTyBEYlV0pzaTAHavFShMzW8MTYNgC1kZ6udXEJvEirfAjYAXAZqGkiicrAzFrNAWChShLPSgQVhKpGQgCW2aj0QuoBGKQbOYv8cTwGJcCGhKUSvG2gR5JLAwmntXgr+VPj/EnqK95GpScPnGpkm3pGnwReoPonkSvYk/rw9V0AqC9O1rAfslmIxsFoQ/xxNYmlBiNV56g8zzp1zJgxJqiBTXxRXY888siqu55h5YxmfHCz29Tizcqe2267zRQYq7T2pG/OzbboNBIZ45Cug7POrRbHBYDWgsuWY1DxrhrhmgCUaepZ0vG4NJIyUtZdd13jCsEdQlVE6uOecMIJxrDEupXf44SfMGrJ1U2SSE/LQpWC5lEzK0m6LONxDAEXtpslZx3D13EBoL44mbMfVE3WkDaEEcaFcGlUc0OgHvPHQwJDEmoe6WyMlVbzh5BCrMVxtdp2bjw4KgUY0H9aJJLtGPF2PFx48FSTyPHj6vU5ALRenI+NO27cuNg3/j6iytk68lmL8odLhoAHJA3Sms9ad4e+AA8SLis4q50da2yMXfhTfRLpeVQUbBQKAG2UK1XjebJOBXwHH3yw8UFiAYa+9a1vdUm9osCJRRh3jY1hyIUtqppXM2QhYW0NTi7jZ2kb3CxZuNZCx3CzovpipcXqSd7prFmzpHfv3qaiXhGsUIuwbzXUVnoiuQNAi7iyoc/COIBUu/POO41L5nvf+55RmXHTTJo0KXPx6aTJotpC1SKRko6t9J2t9NQ+WLeXgYIELcNVKHgORBfl8e0RBIHkJAgB6y6SDTcNa1GigUaOHGmKT2MJzkOsaalkbxuJ5DIW0nO//fZzOaQUbQNAS3EZip1E1i3i8XGSN0pmCiVL4ms31F+MSBR7xoeKm4ZsGgpd24QTkhmjWy0wFpk2ZNlU8+u6cgupjLRXP7Dr8fVsH4xE9eR+ZGxURYo32xAhfLaRP/SHi0WBYNM/bXB/ELrHHignnnhiV3QSwQD9+vXr0U3UTUOVeEIMcdNg/cXglEZahJtgB8bKmmlDkrX2FR0L4BdhcIqOUeT7ANAiuevQ96mnntoVtlfpMHyUbKMQBahKKyRaErHJkK16xw1N8AEhhKi0camJ8SQJoDou88JldPTRRxs3zd57793DTaNt9VVLtJDATYkU9oNxJQI4klwyRCIRBunb4OQ6v6ztA0Czcq6A46KgS+s+aY8TVEXC9bB+xgnjjm3WBqog0iYuNaN9IlmTgBBtw/uomwbjkrppNPWNhwl98crDAEm7xRZbmJBDHkLqc433W+lzPNmaNS2VJdgJzoVsfcYufWZtG9agWTlXouMANrG0SUYawtriOY/xqWPhRB0F/PgeK1VbQF12sXACwOHDh3dl01DlQbNp2PgIAxQqu26AxHoZye1aLT4JVEhmgixcY245x7JI3ADQ+N3aoJ+RTJpqpqeA9ZZYVjY3TiIFpvoHAUqlG1OTq7MacZCKkydPNkYkMnGoQkhpSt6fc845XVMEIIcccoiVoUkPioNK3TU20l77KONrUHHLeFUyzAkpyh9SQwPBAR4V8KIShDUm2RxaoY+wt/g6M214pBrqb17CmAMw2ZOF8plEK8WTrXmwsBUhluFqxDlFSZPWeeC4Ul6XlOt41doHCVqNQw30Ozfk2WefbSQP6zvWdpplwmfAO3HiRLP2w2h03HHHWYMTNlDuRAs8Z2ULa2KSAgA6xbp4mFCVTw1d0X7xiTLfahR3I1ETCdU2i6QngZyE7bJQkKBluRIe5oEE5cbEPYLayNoTKyaGEnYCo1wlqnBUoroMC+DzBJorOJkXlmBcIw888EBqpUCAd+GFF5qookqWXUClgRiotqxHs6q2ZQnx0+sSJKhyosFfUfOwWrLeHD9+vCklwmeMNEhWpCU3bVZwsl5FImU9XsHJA4RoJCQ6282zbuZhkkaks6EFYFxKI4pWE4TAGBqJlNa22ve2Sd/V+vH1e9NIUBzd3IBIkWYnLXnCeXKjcxMjbZAiSA9q4hI5k2UNlsY71FvdDyWtTdr3zFHrFel6l/6YJ6VXokSlCCpAQDwQ/vOf/5iaShdddJH8/Oc/76pQyINHif7plw2g8kYikUDev39/7brur00DULa3h7Ff/OIXzUVsZqBS8gRrK2oiDyXcHqhmhMqhCu64444GoN/4xjcqRvHY3n0YTnCH2AY7RPtF8gIcNmdScCLZcQshjTEW2RJuJCQpVR+IBeZa42/FgsuDiYdS1kgknQMAhX9loaZScVeuXGkMEPjZjjrqKK9ZFmW5YMyDkieoiYCTagf4LwEn/kNUSG5a/Jpx6ZT1HJL2Q7Hpi6AHAIU7RcHJcWzmi6R0JcIJ1U3DuhNAnn/++WYNi5GJ4md5CbC7+Hnzjlft+KYCqJ5sHKhZyktqX2V9Zc2JQSRaMT4KAiJzspbWjJ4z42BkSvOlRtvqe44hyJ4QQ9TsuG+Viu553DU8lLQ4N2o9EVSUalHXkc7D9ZV5I4mzrrNdx7Np35QA1RNXoOJrO+200zLVgdW+yvSKuqnuEiJ/AGP8pkKKUlX+0ksvzTV19vfE6hrvP61TDDWXXXaZcZskbQiMuoyU8pFZ8u53v9vsajZnzhw59NBDjcGJVDXbbJr4ObCOj26kFP+9Lp87HUlEWDSEvwJ4YHMp5s6d23neeed1rlq1qmrzV199tXOXXXbpXLp0adW2SQ0YY8KECVZjcfz9999v2t99991J3ZnvaHPzzTen/m77w5o1azqnTZtmxlu+fHnXYZzrmWeeac774osv7nzhhRe6fqv2hnnffvvt1ZrV9HdnCfrWrsG6e3D3VyJNeJpVapPntwkTJqT2XenpxnFYOpPGJmKFv6Tf8nxXaa5J/Vaaf/y3D3/4w1YSDUsnUtS2WmB8HBz+GJ2qSU9UQ9a75I0iNVkbpxHr2Tzqrfar5T75HK06iHGQbJpbb73VNCWbhkQCm5KmuHtw/ZSJnAFapslXmgsWXQUmIWWofK1IGJMw1tjcoFH+oEbzUKtWegQXB+tgHgbkjcbXm9E+sd7aZtZEj4u/JyKKueH2QSWNVtLXtlxv1qnUAya4ApCi/mIJTopa4jgCMbAul4maDqAKTFwRrQxMvckADutVFynKOhFpiFsl6eanb9ogNfFvEtheKQNG58J+KJWkq7ar9MrDBiMTFQWpcB81jCUdx/lrNg1RVJpNwzo1ajzkfKAs4YFJ4/r6rqkAisQMwOx5a3CDIkGT0tF6tha56qqrDJCSDDmos1iPp06davywSM2kdvF+AQBLiazBDvSHT5Wx8any4EDiUfzalqJuGhK8cdNMmTLF8MZXIoDtXGzbNU2gAuu6QOkc0HQ0btJKhPoI4U+NEwAhQwaphPW4kjobP5YHZ579UBgb6YfbBimHak18cRaJp24arN9IZIqekSxOFfuyUVNJ0LIxt0zzUWBWkqKsO/F5jhgxotvUWTsS+GCbN9rtYBFB6gIECoploTg46QPpOWjQoCzddR3DOpVsGtapgPaaa64x61QXN03H09fJmAE7y9iFz3f16/NNAKhPbpa8L8qOEJyeRICAdScSSq22fMc6kyglMmFc09N0HJv9PbVt/DUJnACeB4nG7MaPcf2M4QrrLYH2RCqhRhONhvobXaf26LfjHzLvtP8nM9Jj/Xsc4vpFAKgrxxq4PRUNcENQ8ydKURAQ5sZnlZgYYVhnZjXuqPTkhnclgBJVa/X45cuXG9U2i3qrfURfqemkZWHgDyCNu2l6Wn5XySMzfyQnP7aRfCramef3TbMG9cyXpu0OCcmai3he1pIKTuJ4CZVDMnHju1RaqMQs2/09432wFmYuuuaM/o4qnsfYFO2L90uWLOlRSVDdNOyhigbQnTpk9ZLp8p3x68rZs74q0xb9vPvPHj8FgHpkZiN0hYTAAAQAACiWVeJZkVRIkSRAZD0vwv7oHwOVLSFxATXr3mg9Xj0eazCpaj4C4+mT/gg9jAY76Fi8wiNdv3d9v/o+ufT7c2TLKXPlgC1uk2ldP/h/EwDqn6el7pEbkuADUrZwV7C2xNlP+ZE0n2fWE0KVdtnfE3AS4A+l7ZyWNbMm7Rxwr2Bdtj/3l2TJpWfJTftdIvMP3EJ6V99zOW1oq+8DQK3Y1LiNACQ3IU59HPwEhENIBdakBBgUQRqJZCvpkLbkjZKGRvRTEqlxCCnvi7Bq95CQqZ2/IU9fN172v+mzMn/+ztJHRDpS2/r5IQDUDx9L0QtgJE8SowdxpQBTMzR06wfUWdabWC1x1LPW9B0GyTywCOMrtZFMug7ea6+9KiZcqzXYl3GIeaLeIq1tqOPpG+W0Y5+QE+dPlMF9amNfDQC1uTIla0NUEBZOim4REUMOIzcahLpKpQWq7+F3JJiAtvghCVIHkOpG0aRuYlZ9kkYi2QQyMC/mVy3wQa3BtPNFaBSUJbV5iIi8Lo8uuFJmtN8ksnM/ia+qf73nxjJ5+HRZestoGegRuwGgvq52DfvBbwdRXxb3B1seEOQdvdG4oXFH4HRHUiYBgEgafuPVlxQFcFC1IHukF0CG2JpBHxrmi4R/Kj1tQJ9weOJXrGfty7isIwNHXy2do7t31bFshuyz7SXy8dtulXOGbdT9Rw+fAkA9MLHWXWDUSPNLcuPjNkAqUd+VSJm0mxpQsls2wQg+pCjhd4zLGjH6sIjzR1VaziEppDDevgjpiZUYsokjjs+nlp8DQGvJ7YLGwsCCukZtIt67uEuo6k4QAalYaa4Gm2kzrlbuS1sjAjTyOFkbJ0n0tHGKkJ5k1mDBLjsFgJb9CiXMj236kFQYgohJhQAlydWuEgE/H0nd7KBNBE0WAnhYYJGIaelfSFcAzDqYpO5KEjY6BzQC1Gafa0/m6+qfjc4p+r73wNGyIK73RhvkfB8AmpOB9TgcIxFAwCBERFCaxLKdG24NtoygXwIZXIibHd8l7pEkdRWAUZmBBGvyRl0fIFqBIU1Nd5mrtkUi58ms0X5q8erR3lSL6YYx4ACgBAyANC846U+lqEtSN8cpOHmf5LtEypM3iosHqekKTtaJhPthefZJSOSsmTU+52HTV5CgNlxqgTYADEnoIkUJyYPifkTUWdaaWIjzhA4SjsiDqJqF1+XyYKDCeOZTIruM79o2ANSVY03aHilKzGzaTt3R045KzmhIHhKP3ErU2bzB9khfMkjSrNXR+bi815xWl2Pq2darikuqkqsa43LyOJV90yabbCL8+aYi5up7jvH+NOStUlJ3EjgBpuaNcv2z5o3qfLAIk5up+5zq93lfkZ5QmiErb/9FHN+LIp9FdBz6dONAr169TOnPakcReAD5vnl1XMBJUjfV2uMEcPge1RUHP2GESEyimFBFd9ppJ2vrbLzv6GfWwmlGp2g71/dETuWV7K5j5m3vVYLmnUw4vv4cQIoSlRSXokhJgMPaDevxtddeayotIDE1odvWdVLpLFFtoWqRSJX6SPqtEaUn5xHWoElXs8W/07UoEpG1KZkp7LWCcYWACP6QRGSq+AClspuHAKrt8ccf77Vf1HLWnvZhfTqj+r8GgNb/GpRuBvhC+cN/yf6cJEhDqLYagO970oCI2kd59/dMmhd+T+ZepH0kaVwf3wWA+uBik/XBWpM9Mk866SST2E3SNRtQ+XR3xFmGi4doKAIIfBLA9x2J5HN+1foKAK3GoRb5HfWSfTvZMhDjD3mjAJO0Nd+ujjhLtRYvW937Jny1AL9R/J7x8w8AjXOkRT4jJUnsptKCxvOSVwrhIgIszz77rLEWE8TAWlTJJZhBj0l71Vq8pJz5XM8yHg8dIpEwYjUqBYA26pVznDc3q1ZaUEASuI6EbGtrMxX9MAKR2aLShuwWAhGmT59u0tGw7HKzL1682IDaNW43PmUsq/FavPE2eT4jmanS4Bv4eebkemwAqCvHStye9RbqKWVPXn755W5lTzS8LRpgD0CwbkJp/kFN6r7xxhuFFC0yaHzEsSLByYChcJmPeOL4ZVF3je81bXycoj8HgBbN4QL6R8XkBiTmFYqXPOE7LJaAMW51JbuEfVLwabK3SRow6YNxzjjjDCFCDEnniwAn4wPOIqJ66F/dNb7mXK9+AkDrxXkP42K8odwJpGppWreAmfUYaz6kSqWEaRKqASa1cpHIcaq4HUK8ceyzgpPCZUWAk+GIdsLAVYRkjp1O4R8DQAtnsf8BWPtVs6yi7lKTCCMQwERaDh061EjMau4S1qtIuDQiUCEL1QKcqtpW40+W+dfjmADQenC9gDFRXZF2xMUCIF5Zd7LBkGvK16677moMSiRYU3nAB9UCnM2k2irPA0CVEw30qiVPtOwmYGQdypqT5GhKn2CBzWO95Hh8iOeff74ph5Kk6tqyDGMU6nKRai0aA0anIiKRbM+ziHYhm6UIrmbo0yWb5c477zQ3O2U3SZXDiFPkeuuee+4xBp3HH3+868xw1di4WQCnWmuLWnMyKWKFoaIq5XedeI3fBAlaY4b7GE5Lnvjoy6YPVN777rvP+EAxwODCsSH8kKx/CX4v8gGC4QvDFmVVmo1CulmzXdGCzocaujNnzpRLL73UjEAAehqhbpLAjbHJdf2b1mfa94yBCwiXTR6VPq3/en8fAFrvK9Bg4x966KHGxzhnzpzEmWOoueyyy0xoIFFIRUpODGNkwLC2LXKcxBOt0ZcBoDVidDMNQ2zuWmut1SOpG1WT+roUhGYtWKREQ0rrHjBFrm3rfd3CGrTeV6BBxz/99NOFPyowRGvfsg6sFjTh45Sp6ECOZ1ItXh/9l6WPANCyXIkGmwd7i2LFveSSS0zsr2vF+Dyni/EJt5Lt3qN5xqr3sQGg9b4CDTo+UrN///5y1llnGSPN9ttvX5MzAZwYhqLlPmsycJ0GCWvQOjG+UYdl7Uc4HZX/qFk0YsSIrpIoRZ+T5o6y0VOR69uiz8Ol/yBBXbjV4m01IogQQvVtErk0cuRIs/VDNKnbN6sYW3NHm9Vim8SzANAkroTvunEAcGjeaDxcj3UoEg3Vs6havfpgKNqn2u2kS/IhALQkF6KM04gCs1Le6NFHH20sqmz54GunbuVHK4MTHgSA6p0QXg0HWGOS0M22f1AlYCrLACVV233t1K39aqhgK0pO5UEIlldO1PnVJVieqfpWJ4kAuvfee03sLGtMkrpdAgBI4sYv6UuKAk7S5ooqiVLny209fJCg1qxqvoa4SgAB0vKVV14x5SmzSiuk6KxZs3JLUSQ4WxcCdJeduJvv6rx1RgGgzXplU84LSUl1vyVLlpikbiSljRqb0l23rw8++GBTFRCjEfmkrgQ4KWBNTd5W8XNW41FQcatxqEa/F6XiIiVJxaL0CdJSJSXlNrfaaivv/kR2X8NPOnnyZCfO8eCgzApFppN263bqrIkaBwnaRBeTm5ySmxScpkhYtNICVf5qsZ4DXGeffbbTTt1YamuR1N2IlzpI0JJcNRcJSjlMgsRffPFF88d6jZIkqIYYeAge2HTTTc02gvVw6ttKUVRayqqQ1J117VuSy1fYNIIELYy1xXX85ptvms779etnNjniQy0ySGzPCCnKWrLSFhFIe6oz8FChWn2rhO7Z8lDbBYAqJxrolZ3GylxWkpA/3WMUEMaJmFrC9tACynwe8XnX43MIlq8H11tgTPJEoehO3RisCGbArUPh7ADO6jdCAGh1HoUWGTmAFCXrBUJqTp061ayPa5XUnXHapTosGIlKcjlcjERM2XckUVFsOPLII80OakQZMecyrZWLOmef/YY1qE9uhr66OICFlsp/bDlx++23yw033CAbbLBB1+/hjR0Hgoprx6fQyoED+DWp7Icvlk2YqKuLOyWQOweCBHXnWTgihQOUIiHI/bXXXpP99tvPbIFIU3yctUjqTplWQ38dANrQl68ckweYd9xxh4lcYkfr+Ka5JHXjUikyqbscnPA/iwBQ/zxtmR6jwASAVNlLCzigRApGIoIYiiyN0mzMDwBttitag/NhjYl/E1WWItWVgKnTIbuFDJXp06fLscceq1+H1yocCACtwqDw81scIMiASgskdUNZUtQOO+wwk9TNq+/SKM16nQJAm/XKejovLLEEsxNosNtuu+XyZRZVGsXTqZaymwDQUl6W+k6KQHYtf4Ifc+jQocYqm7a+dJkt0nPvvfeWIEXtuBYAasenpm+FpGRTXpK6oUGDBhWSAoYUnThxorCO1XjdpmdujhMMAM3BvEY+FClJ6RMqLaC+kke69dZb1ySpe/jw4RHWvS7LZhwh2465JvIdb9tk+PSFcsvo7aSVo2kCQGO3RTN+JOyOhG4A2d7ebiQlqiuA3G677YzBZ/3116/Tqa+Wp5Y+LcOnP9zyYEy6AAGgSVxp0O+wtFLyhD+2qUdt1WoLAJFKC/UHZIy5q/4iC2avkY9fsVFLS8oYV7o+BoB2saJx3lCpYNGiRbJixQozaQWhljwhEKCtrc3kW/bt27fUu093rHxCHmjfUkZs1qdxLkANZxoAWkNm+xxqnXXWMSUu6XPttdcuNQjTz7tDVj/1qDzYtq587rpvy4AfXi7trD6POFemHP91OWBwW8tL1VZef6ffNyX/hdhWqhGQW8lfPQqD+WHRG7LyiUelfdstZcioabKis1M6O/8ry07dUu75/v/IBUte8jNMA/cSErZLcvFI2J47d27V2VBzFnA2SsJ21RNKbPC8LBy7t+z5wP/I0ltGy8AWFiMtfOqJd0bdvrQBJ5MDnEOGDKnbPGszcB/ZbNstRR58VJ5a3VGbIUs6SliDluTCNLdELAmTG3AaQYI24EVrmil3PCIz9hogA8YulFXdTgrf6GPSdvjnZee+rX2LtvbZd7spwoeac6D3QDlk0g9k29lz5NpHFKIdsvqRm2TW3E/KlOOHSt+aT6pcAwaAlut6tNhsekufwcfIL+bvJ/8669OCoaxXr81k/5//V0bdPEkO/MB7WowfPU83WHF78iR8EzhQGg4ECVqaSxEmEjjQkwMBoD15Er4JHCgNBwJAS3MpwkQCB3pyIAC0J0/CN4EDpeFAAGhpLkWYSOBATw4EgPbkSfgmcKA0HAgALc2lCBMJHOjJgQDQnjwJ3wQOlIYDAaCluRRhIoEDPTkQANqTJ+GbwIHScOD/AG4bXRdAggAAAAJJREFUA6ph1aSPAAAAAElFTkSuQmCC"></p>
<p>The blue light is now replaced by red light. What additional change is needed so that the lines of constructive interference remain in the same angular positions?</p>
<p>A. Make the slits wider</p>
<p>B. Make the slits narrower</p>
<p>C. Move the slits closer together</p>
<p>D. Move the slits further apart</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>Light is incident on a diffraction grating. The wavelength lines 600.0 nm and 601.5 nm are just resolved in the second order spectrum. How many slits of the diffraction grating are illuminated?</p>
<p>A. 20</p>
<p>B. 40</p>
<p>C. 200</p>
<p>D. 400</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 transparent liquid forms a parallel-sided thin film in air. The diagram shows a ray I incident on the upper air–film boundary at normal incidence (the rays are shown at an angle to the normal for clarity).</p>
<p><img src="data:image/png;base64,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"></p>
<p>Reflections from the top and bottom surfaces of the film result in three rays J, K and L. Which of the rays has undergone a phase change of <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\pi ">
  <mi>π</mi>
</math></span> rad?</p>
<p>A. J only</p>
<p>B. J and L only</p>
<p>C. J and K only</p>
<p>D. J, K and L</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 mass–spring system oscillates vertically with a period of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi></math> at the surface of the Earth.&nbsp;The gravitational field strength at the surface of Mars is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>3</mn><mo> </mo><mtext>g</mtext></math>. What is the period of&nbsp;the same mass–spring system on the surface of Mars?</p>
<p>A.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>9</mn><mi>T</mi></math></p>
<p>B.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>3</mn><mi>T</mi></math></p>
<p>C.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi></math></p>
<p>D.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mi>T</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>Two lines X and Y in the emission spectrum of hydrogen gas are measured by an observer stationary with respect to the gas sample.</p>
<p>                                                       <img src="images/Schermafbeelding_2018-08-13_om_10.56.15.png" alt="M18/4/PHYSI/HPM/ENG/TZ1/29_01"></p>
<p>The emission spectrum is then measured by an observer moving away from the gas sample.</p>
<p>What are the correct shifts X* and Y* for spectral lines X and Y?</p>
<p><img src="images/Schermafbeelding_2018-08-13_om_10.56.59.png" alt="M18/4/PHYSI/HPM/ENG/TZ1/29_02"></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>Which is correct for the tangential acceleration of a simple pendulum at small amplitudes?</p>
<p>A. It is inversely proportional to displacement.</p>
<p>B. It is proportional to displacement.</p>
<p>C. It is opposite to displacement.</p>
<p>D. It is proportional and opposite to 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>A beam of monochromatic light is incident on a diffraction grating of <em>N </em>lines per unit length.&nbsp;The angle between the first orders is <em>θ</em><sub>1</sub>.</p>
<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<img src="images/Schermafbeelding_2018-08-13_om_18.48.12.png" alt="M18/4/PHYSI/HPM/ENG/TZ2/26"></p>
<p>What is the wavelength of the light?</p>
<p>A.&nbsp; &nbsp; &nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{\sin {\theta _1}}}{N}">
  <mfrac>
    <mrow>
      <mi>sin</mi>
      <mo>⁡</mo>
      <mrow>
        <msub>
          <mi>θ</mi>
          <mn>1</mn>
        </msub>
      </mrow>
    </mrow>
    <mi>N</mi>
  </mfrac>
</math></span></p>
<p>B.&nbsp; &nbsp; &nbsp;<em>N</em> sin&nbsp;<em>θ</em><sub>1</sub></p>
<p>C.&nbsp; &nbsp; &nbsp;<em>N</em> sin<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\left( {\frac{{{\theta _1}}}{2}} \right)">
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mrow>
          <mrow>
            <msub>
              <mi>θ</mi>
              <mn>1</mn>
            </msub>
          </mrow>
        </mrow>
        <mn>2</mn>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span></p>
<p>D.&nbsp; &nbsp; &nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{\sin \left( {\frac{{{\theta _1}}}{2}} \right)}}{N}">
  <mfrac>
    <mrow>
      <mi>sin</mi>
      <mo>⁡</mo>
      <mrow>
        <mo>(</mo>
        <mrow>
          <mfrac>
            <mrow>
              <mrow>
                <msub>
                  <mi>θ</mi>
                  <mn>1</mn>
                </msub>
              </mrow>
            </mrow>
            <mn>2</mn>
          </mfrac>
        </mrow>
        <mo>)</mo>
      </mrow>
    </mrow>
    <mi>N</mi>
  </mfrac>
</math></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>A simple pendulum undergoes simple harmonic motion. The gravitational potential energy of the pendulum is zero at the equilibrium position. How many times during <strong>one</strong> oscillation is the kinetic energy of the pendulum equal to its gravitational potential energy?</p>
<p><br>A.  1</p>
<p>B.  2</p>
<p>C.  3</p>
<p>D.  4</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 monochromatic light is incident on a single slit a diffraction pattern forms on a screen. The width of the slit is decreased.</p>
<p>What are the changes in the width and in the intensity of the central maximum of the diffraction pattern?</p>
<p><br><img src="data:image/png;base64,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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>A simple pendulum bob oscillates as shown.</p>
<p>                                                         <img src="images/Schermafbeelding_2018-08-13_om_18.44.27.png" alt="M18/4/PHYSI/HPM/ENG/TZ2/24"></p>
<p>At which position is the resultant force on the pendulum bob zero?</p>
<p>A.     At position A</p>
<p>B.     At position B</p>
<p>C.     At position C</p>
<p>D.     Resultant force is never zero during 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>Monochromatic light of wavelength λ in air is incident normally on a thin film of refractive index <em>n</em>. The film is surrounded by air. The intensity of the reflected light is a minimum. What is a possible thickness of the film?</p>
<p>A. &nbsp; &nbsp;&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{\lambda }{{4n}}">
  <mfrac>
    <mi>λ</mi>
    <mrow>
      <mn>4</mn>
      <mi>n</mi>
    </mrow>
  </mfrac>
</math></span></p>
<p>B. &nbsp; &nbsp;&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{3\lambda }}{{4n}}">
  <mfrac>
    <mrow>
      <mn>3</mn>
      <mi>λ</mi>
    </mrow>
    <mrow>
      <mn>4</mn>
      <mi>n</mi>
    </mrow>
  </mfrac>
</math></span></p>
<p>C. &nbsp; &nbsp;&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{\lambda }{n}">
  <mfrac>
    <mi>λ</mi>
    <mi>n</mi>
  </mfrac>
</math></span></p>
<p>D. &nbsp; &nbsp;&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{5\lambda }}{{4n}}">
  <mfrac>
    <mrow>
      <mn>5</mn>
      <mi>λ</mi>
    </mrow>
    <mrow>
      <mn>4</mn>
      <mi>n</mi>
    </mrow>
  </mfrac>
</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>A beam of monochromatic light is incident normally on a diffraction grating. The grating spacing is <em>d</em>. The angles between the different orders are shown on the diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>What is the expression for the wavelength of light used?</p>
<p> </p>
<p>A.   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{d\,{\text{sin}}\,\alpha }}{2}">
  <mfrac>
    <mrow>
      <mi>d</mi>
      <mspace width="thinmathspace"></mspace>
      <mrow>
        <mtext>sin</mtext>
      </mrow>
      <mspace width="thinmathspace"></mspace>
      <mi>α</mi>
    </mrow>
    <mn>2</mn>
  </mfrac>
</math></span></p>
<p>B.   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{d\,{\text{sin}}\,\beta }}{2}">
  <mfrac>
    <mrow>
      <mi>d</mi>
      <mspace width="thinmathspace"></mspace>
      <mrow>
        <mtext>sin</mtext>
      </mrow>
      <mspace width="thinmathspace"></mspace>
      <mi>β</mi>
    </mrow>
    <mn>2</mn>
  </mfrac>
</math></span></p>
<p>C.   <em>d</em> sin α</p>
<p>D.   <em>d</em> sin β</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>An observer with an eye of pupil diameter <em><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi></math></em> views the headlights of a car that emit light of wavelength <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>λ</mi></math>. The distance between the headlights is <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi></math>.</p>
<p>What is the greatest distance between the observer and the car at which the images of the headlights will be resolved by the observer’s eye?</p>
<p>A.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>1</mn><mo>.</mo><mn>22</mn><mi>λ</mi></mrow><mrow><mi>L</mi><mi>d</mi></mrow></mfrac></math></p>
<p>B.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>1</mn><mo>.</mo><mn>22</mn><mi>λ</mi><mi>L</mi></mrow><mi>d</mi></mfrac></math></p>
<p>C.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>L</mi><mi>d</mi></mrow><mrow><mn>1</mn><mo>.</mo><mn>22</mn><mi>λ</mi></mrow></mfrac></math></p>
<p>D.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>d</mi><mrow><mn>1</mn><mo>.</mo><mn>22</mn><mi>λ</mi><mi>L</mi></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">
<p>Despite option C being the most frequent (correct) response, both options A and B were effective distractors. A useful teaching point relating to this question relates to unit analysis; neither solution presented in option A or option D produce the correct units for distance, and could be eliminated from consideration on this basis.</p>
</div>
<br><hr><br><div class="question">
<p>The graph shows the variation with diffraction angle of the intensity of light when monochromatic light is incident on four slits.</p>
<p style="text-align: center;"><img 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"></p>
<p>The number of slits is increased keeping the width and the separation of the slits unchanged.</p>
<p>Three possible changes to the pattern are</p>
<p style="padding-left:90px;">I.   the separation of the primary maxima increases</p>
<p style="padding-left:90px;">II.  the intensity of the primary maxima increases</p>
<p style="padding-left:90px;">III. the width of the primary maxima decreases.</p>
<p>Which of the possible changes are correct?</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>An object undergoing simple harmonic motion (SHM) has a period <em>T</em> and total energy <em>E</em>. The amplitude of oscillations is halved. What are the new period and total energy of the system?</p>
<p> </p>
<p><img 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+rooTr5svI0KvMsc8IiEgR6EODAeA8ocXiIwhEHdLOa5MC4WfkgmsgCnP0X2Sa2cygcsfU2rzUOjJuXEyKKIMCHnAgwMX+YwhFzcrMaDNTt0KtbsnVHyTeUZlZoRINAVwE+5HT1iONUxMIR8Hp0TXq60nMfUlUL5yjEMUdRbJpz4qOIy6oHWaDtQ45PvqemKT3ipXJmyuM9Mcgts7pwgSFB6zv63f5OyOuZrav2/Q/d/Ye3dfyBcv1sqjmXnkhPT1dzc3O3qHkAAVMFGLOmZoa4nAQijduetzhafivP0oOade2tmj4jS6ueepMLhjnpMg8BBBBIIoEeCkdALTXvab2uUklBjvKmlGjyjgptr2PzL4nGBV1FAAEEIgr0UDiOqaZiqzTrShWkpSgl73LNmLxHG7cf5tuYERmZgQACCCSPQLfCEfC+qadWSbNKxredZZOSqykzJmjH0pe0jYPkyTMy6CkCCCAQQSCscFhfsKnQjgxrN1X75bWHtu2uatqqippjEVbDwwgggED0BJx/cKyna1Z1Pha9qJJ3zV2vVRU4rO0bd0pN7+rGC1d2U9lXsVeLp07lfP9uMu56wHoR9vevx5Pv+rsSlkfgNAUYf6cJF6Wn2bY4AmrZ9pKW7rhMK3Z/3nq6q3XKa9vtuD7bXCatWq3XOEc6SqmI3Wo7fiUt0q+n9fB47KKjJQQQMF3AVjhCB8Vnflcl3a5zn6K0gis1K2MnB8lNzyjxIYAAAlEW6CwcLXtVsV6ades/KKfz0c7m076pGfdcoh0bP1QdXyTvdOEeAgggkGQCoRJxQt7XVmtV3q2aMbH9oHi4RIa+ef2NmrxjtTzbGtV+SZLcRVVqCV+UaQQQQACBhBWIcMkRs/sb6WvwZkdNdMkswJiNZvZPqr78fk0sS9O6/ctUlNbTLpNotp+46440bhFO3Jz3sWct8lZ6tHBqttpPecyevUJbvWxH9hGQxeIsEKj/jX5a9rx8cY4jmZqncCRTtrv11fqktlhX3L5NmU/W6JR1NtWpBm2esEezr1is8vqT3Z7BAwgYJeD/WGsX/1wH8guMCivRg6FwJHqGnfoXOKCKF8ulO2brzklZbb/fnJKlSfMe1LLx5Sp7djvHr5z8mBdngSbVrF6kh8+8S4tvHRPnWJKr+a5fAEyuvtPblHEqrWhQaQQJ355DOhqQ2GUcAYiH4ygQkL/mV1rwzCit3H2DciveimMsydc0WxzJl/M+9vhsFd8yWXmMkD56sVhMBfzVWr3gP3TtW8t0U85ZMW2axiS2OBgFYQInVb95pR7ee7VWesa07b4KW4JJBOIqEDis8nl36+1rX9BbBRmS+MmHWOeDwhFrcaPbC8i/f70Wl/1Jc9Z5dCOf5IzOVnIGZ32weVplB27TW/9WqNTkRIh7rykccU+BKQFYReNl/ahoubRsvRYX5bC1YUpqiKNTIHRCh+8DnwrPub/z8dC9aelrVbymUu+UjmP8dtMZvAfYgz14li5e00n5dq3qKBrPl17MJzkXZzOhQw+d0NH1Qp1/Ve2aGVLWg3q/+YgqKBpRHwIUjqgTG95AoF6Vi69T9qVvKnPlRlE0DM8X4SFggAC7qgxIQvxCaFLNMz/UtCcaVPr6b/TETbls3scvGbSMgGsEuFaVa1I1+IG2Xqgy/05tibRqa9Ofa/9E0unX45Gu+dOvlbAwAjEWiDRuKRwxTgTNJadApBdgcmrQa7cIRBq3HONwSwaJEwEEEDBEgMJhSCIIAwEEEHCLAIXDLZkiTgQQQMAQAQqHIYkgDAQQQMAtAhQOt2SKOBFAAAFDBCgchiSCMBBAAAG3CFA43JIp4kQAAQQMEaBwGJIIwkAAAQTcIkDhcEumiBMBBBAwRIDCYUgiCAMBBBBwiwCFwy2ZIk4EEEDAEAEKhyGJIAwEEEDALQIUDrdkijgRQAABQwQoHIYkgjAQQAABtwhQONySKeJEAAEEDBGgcBiSCMJAAAEE3CJA4XBLpogTAQQQMETAtb85bv0yFX8IuEmAMeumbBGrk4BrC0dzc7NTv5iHgFECkX6C06ggCQaBMIFIH3bYVRUGxSQCCCCAgLMAhcPZh7kIIIAAAmECFI4wECYRQAABBJwFKBzOPsxFAAEEEAgToHCEgTCJAAIIIOAsQOFw9mEuAggggECYAIUjDIRJBBBAAAFnAQqHsw9zEUAAAQTCBCgcYSBMIoAAAgg4C1A4nH2YiwACCCAQJkDhCANhEgEEEEDAWYDC4ezDXAQQQACBMAEKRxgIkwgggAACzgIUDmcf5iKAAAIIhAlQOMJAmEQAAQQQcBagcDj7MBcBBBBAIEyAwhEGwiQCCCCAgLMAhcPZh7kIIIAAAmECFI4wECYRQAABBJwFKBzOPok7t6VSC7OHaMgQp1uhFlY2Jq4BPXOpQKMqFxY6j90Sj7wBl3bPBWFTOFyQpKiEmFakJxuCCgbbbqdq16hYBXrg/T93PBYMVuvJouFRaZ6VInDaAi2/V8XLDSpe80edCo3f9nHc8b+iVGN5dztt4t6eCG1vQkkx/4Tqtr+rLVnFKikclhQ9ppPuFQgcPaQ9vmxNGDVcvIHFJ4+4x8fdsFb9OlJ7QBqfpxGpDAnDkkM4XQQC8h+p016NUf6I1C5zmIidAO8SsbM2t6VAow7taVDWhFHKZESYmycik3RM1RVb5Cu+WlPyhiISJwHeJuIEb1Sz/gbV7pXG52eLz3BGZYZgwgVCH3K05U7ln9HTiR3ZKvHsF8fFw+EGd/rMwV0da3OfQEAt1e/pZd8ULZsyin3G7ktgckUc+pBjHRh/p3Qc4zVO2WeLI07w5jR7UkcP1cmXladRmWeZExaRINCDAAfGe0CJw0MUjjigm9UkB8bNygfRRBbg7L/INrGdQ+GIrbd5rXFg3LycEFEEAT7kRICJ+cMUjpiTm9VgoG6HXt2SrTtKvqE0s0IjGgS6CvAhp6tHHKdsheOEvJ5blJ6e3sPtGi3yVMnr51yFOOYqCk1zTnwUUFlllATaPuT45HtqmtIjXipnpjzeE1GKgNW2C/RwVtXVWrH71yod23mOdMD3oZ598Ee66rePaMeL05VjKzftK+K/GwVSlFb0uBqCboydmJNNIGVsqSqCpcnWbSP726cSkJL1P1U6+1ppw/9RRR3V3MhMEhQCCCAQI4E+FY6OWDLyNJpTNjs4uIMAAggko0CfCkfA91t5XmnR/I1l+lZan56SjJb0GQEEEEgKgR6Ocbyr+RMv0Pxu3Z+suf/Yor8oi8tSdLPhAQQQQCB5BHrYfLAOjn+u5ubmzlv9Lq2dK62a8xOtrmlKHh16igACCCDQTaCHwtFtGSk1XzeUztBkbdNzG/9TLT0swkPuEXD+1b+eLhw3xD2dI9KEFDidMdv+nIQEiXOnethV1XNEKZmjdUmGtK/n2TzqIgHrV9L4Q8BNAoxZs7LVty0OSYGjB/VRU75mlYznG8Zm5ZBoEEAAgZgK9K1w+Gv1hmejdhTeqhkT+WnRmGaIxhBAAAHDBHooHG1nVXW59EjOffrd2DJVrrtbBaGfFg14PbomPV25i6o45mFYUgkHAQQQiKbAkKALdx5aRc0664s/BNwiwJh1S6aI0y4Qadz2sMVhfxr3E1+gRd5KjxZOzVb7WSjZs1doq5dz5xI/9y7uod+rSs9CTe242OF4zV5ewYVYY5RSCkeMoM1s5qTqyxfritu3KfPJGp0KBhU81aDNE/Zo9hWLVV5/0sywiSq5BQKHVT7vZt2+baSebPibrJ0mpxpWa8LeBbpi3mbVcxHvqI8PCkfUiQ1uIHBAFS+WS3fM1p2Tstp+vzklS5PmPahl48tV9ux2jl8ZnL5kDS1Q975e9HxNd8y+RZOy2n7uOCXrcs17aL7Gex7Xsx80JitNzPrd5+9xxCwiGoqdQMo4lVY0KNKFqn17DuloQOLyZLFLCS31LuB8efUG7TnUqICGt30Q6n11LHEaAmxxnAZacjzlbBXfMll5jJDkSHfC9HKKbpkyiqIR5XzythBlYPet/qTqN6/Uw3uv1g9LxvACdF8CkzPiwGFtfnKF9pZ+VyV5nT9Cl5wY0e81u6qib+yiFgLy71+vxWV/0px1Ht2Y07b/2EUdINSkFGjR/rWPquzAd7TulW/zC6UxGAMUjhggu6MJq2i8rB8VLZeWrdfiohy2NtyRuCSPskX7PfNV9LC0rHK+ikIHy5McJerdZ1dV1Ind0MBJ+Xat6igaz5dezG+uuCFtyR5jwKddK+4JFY0VKh2XluwiMes/hSNm1IY2FKhX5eLrlH3pm8pcuVEUDUPzRFhdBAK+rVo8rUCXvpmjlR9QNLrgxGCCXVUxQDa3iSbVPPNDTXuiQaWv/0ZP3JTL7ilzk0Vk7QL+XXrm1tl6ovYmvb77X3QTx+LaZWL2ny2OmFGb11DAW67FP3lb0sfy3DxKZ3RcviH0Y07Zi1XZwtdwzctcMkd0Qt4Ny/WTD3yS73ndPOJrHZfK6bhkzsJKvrga5SHCRQ6jDMzqEbAEIl0sDh0ETBaING7Z4jA5a8SGAAIIGChA4TAwKYSEAAIImCxA4TA5O8SGAAIIGChA4TAwKYSEAAIImCxA4TA5O8SGAAIIGChA4TAwKYSEAAIImCxA4TA5O8SGAAIIGChA4TAwKYSEAAIImCxA4TA5O8SGAAIIGChA4TAwKYSEAAIImCxA4TA5O8SGAAIIGChA4TAwKYSEAAIImCxA4TA5O8SGAAIIGChA4TAwKYSEAAIImCxA4TA5O8SGAAIIGChA4TAwKYSEAAIImCxA4TA5O8SGAAIIGCjg2t8ct36Zij8E3CTAmHVTtojVScC1haO5udmpX8xDwCiBSD/BaVSQBINAmECkDzvsqgqDYhIBBBBAwFmAwuHsw1wEEEAAgTABCkcYCJMIIIAAAs4CFA5nH+YigAACCIQJUDjCQJhEAAEEEHAWoHA4+zAXAQQQQCBMgMIRBsIkAggggICzAIXD2Ye5CCCAAAJhAhSOMBAmEUAAAQScBSgczj7MRQABBBAIE6BwhIEwiQACCCDgLEDhcPZhLgIIIIBAmACFIwyESQQQQAABZwEKh7MPcxFAAAEEwgQoHGEgTCKAAAIIOAtQOJx9mIsAAgggECZA4QgDYRIBBBBAwFmAwuHsw1wEEEAAgTABCkcYCJMIIIAAAs4CFA5nH+YigIBxAo2qXFioIUOGRL6VeOQNGBd4wgR0ZsL0hI4ggEByCLT8XhUvN6h4zR/1Tuk48ek39mnHPPbmtIgAAgMQCBw9pD2+bE0YNZyiMQDHgTyVwjEQPZ6LAAIxFgjIf6ROezVG+SNSY9w2zbULUDjaJfiPAAIuEDim6oot8hVfrSl5Q10Qb2KGSOFIzLzSKwQSUyDQqEN7GqQtdyr/jJ4OjmerxLNfHBePbvo5OB5dX9aOAAKDKeBvUO1ecWB8ME1PY11scZwGGk9BAIH4CHBgPD7u4a1SOMJFmEYAAUMFTqhu+7vaklWsksJhhsaYHGFROJIjz/QSgQQQ8OtI7QFpfJ5GpPLWFc+Eoh9PfdpGAIG+C4QOjGdNGKVM3rn67haFJXvm93tV9dpyzclNV3p62y13znK9VuWVPwpBsMp4CjSqatGkjjy35zv8f+6iKrXEM0zaTnqBQN0OvbrFJ99T05Qe8XIjM+Xxnkh6q2gDDAkGg8HORgLye9/QsrmLtHviEj01b6YKss6S1CLvex49fucKfXbPRr2xYJLi+dUb602tubm5M2zuDZ5AoFaea4u19JK12vuzqUobvDUn9ZoYs0mdftd2PtK47brF4a/W6rn3af2Yn+mlx28PFQ2rz2kae+W9Wlk+X3qsTMuqGl0LQeDOAoG6D7VxxwWaVTKeouFMxVwEklbA9j2OgFp2v6Hnqi/TI6uuUU7XkiIpRanfvEVPvTxGLTnWVgh/iScQkL/+E+3TaM3Iiec2ZeLJ0iMEEknAVjiOqaZiq5oyrtLozAiFISVLBddfn0j9py9dBE7q6ME6NWXkRR4DXSxyucAAAAs7SURBVJZnAgEEklGgc7si8IUOfvS5dNHXlcOpbsk4FiT5Ve89yBhI0uzTbQT6KtBZOPr6DJZLXIGWvapY/7kmz7hceYyMxM2zC3vm+KNNEc+waruWlQu7a3zInW8PKedp9CUXSPs+Ub2fS4QZn7koBBg4elAfNV2gS0afx+8cRMGXVZ6+gHXy5+neTr9VnhlJoLNwaJgKSq5SRlOdDh49GWl5BXw1epPvc0T0ce+MzgPjYzkw7t40EjkCMRCwFY4UpU28QfcU7tTSp99RfbeNjoD8tb9W6WV36q2mr+nsGARHE7EU4MB4LLVpCwE3C9gKh6TUQt31wqOauuU+fW/xOtX42rc8rC8APquy4p/qs9uX69EbctmV4eas9xR74LC2b9ypjFlXqiCt67DoaXEeQwCB5BUIe4dIUWr+bHl2lmve2I/1wLjzQ5eiuFBXrftK3167VW/865XKCj0r4PXomvR0cTmKBBhA/gZ590kXjc2O61UBEkCSLiCQ8AJhlxxxR38jfQ3eHdETZTIKMGajmfWTqi+/XxPL0rRu/zIVscU8aNiRxm3YFsegtceKEEAAgZgIBOp/o5+WPS9fTFqjEUuAwsE4QAAB9wr4P9baxT/XgfwC9/bBhZFTOFyYNEJGAAFLoEk1qxfp4TPv0uJbx0ASQwEKRwyxaQoBBAZLICB/za+04JlRWvnoDco9Y7DWy3r6IkDh6IsSyyCAgFkC1k9ALPgPXfvWMt3E1bpjnhvb1XFj3jYNIoAAAv0XCBxW+by79fa1L+itggxJ/OJf/xEH9gwKx8D8eDYCCMRU4KTqNz+tsgO36a1/K+Q7RzG172yMwtFpwT0EEDBdIHBAFS+Wy/eBT4Xn3N8t2mnpa1W8plLvlI7jlNFuOoP3AMc4Bs+SNSGAQLQFUsaptKIh7Eq5f1XtmhlS1oN6v/mIKiga0c4CRTnqwjSAAAIIJJgAWxwJllC6gwACCERbgGtVRVuY9SMgtV4stLm5GQsEXCXAtapclS6CRQABBMwVYFeVubkhMgQQQMBIAQqHkWkhKAQQQMBcAQqHubkhMgQQQMBIAQqHkWkhKAQQQMBcAQqHubkhMgQQQMBIAQqHkWkhKAQQQMBcAQqHubkhMgQQQMBIAQqHkWkhKAQQQMBcAQqHubkhMgQQQMBIAQqHkWkhKAQQQMBcAQqHubkhMgQQQMBIAQqHkWkhKAQQQMBcAQqHubkhMgQQQMBIAQqHkWkhKAQQQMBcAQqHubkhMgQQQMBIAQqHkWkhKAQQQMBcAQqHubkhMgQQQMBIgTONjKoPQVk/acgfAm4SYMy6KVvE6iTg2sLB7zc7pZV5pglE+u1m0+IkHgTsApE+7LCryq7EfQQQQACBXgUoHL0SsQACCCCAgF2AwmHX4D4CCCCAQK8CFI5eiVgAAQQQQMAuQOGwa3AfAQQQQKBXAQpHr0QsgAACCCBgF6Bw2DW4jwACCCDQqwCFo1ciFkAAAQQQsAtQOOwa3EcAAQQQ6FWAwtErEQsggAACCNgFKBx2De4jgAACCPQqQOHolYgFEEAAAQTsAhQOuwb3EUAAAQR6FaBw9ErEAggggAACdgEKh12D+wgggAACvQpQOHolYgEEEEAAAbsAhcOuwX0EEEAAgV4FKBy9ErEAAggggIBdgMJh1+A+Agi4QKBRlQsLNWTIkMi3Eo+8ARd0xaUhuvY3x13qTdgIIDBQgZbfq+LlBhWv+aPeKR0nPv0OFLT/z8e8/2Y8AwEE4igQOHpIe3zZmjBqOEUjTnmgcMQJnmYRQOB0BALyH6nTXo1R/ojU01kBzxkEAQrHICCyCgQQiJXAMVVXbJGv+GpNyRsaq0ZpJ0yAwhEGwiQCCBgsEGjUoT0N0pY7lX9GTwfHs1Xi2S+Oi0c3hxwcj64va0cAgcEU8Deodq84MD6YpqexLrY4TgONpyCAQHwEODAeH/fwVikc4SJMI4CAoQInVLf9XW3JKlZJ4TBDY0yOsCgcyZFneolAAgj4daT2gDQ+TyNSeeuKZ0LRj6c+bSOAQN8FQgfGsyaMUibvXH13i8KSNv6AWqoeUm56utK73SZozvJXVeVtiUIIrDK+Ao2qWjSph5x3HQe5i6pE9uObqWRvPVC3Q69u8cn31DSlR7zcyEx5vCeSnSrq/bcVjva28jV38ydqbm7uvNVv0O16R3Ou+rE8tbx9tEslxv/hmvqzXZ25Pr5LKyZnKGPuZn1mGwOHfzZVaYnRYXrhUoGUsaWqCAYVdLxtUOlYvt8R7RT3UDh6aDJ1rK68f6l+Ubxb8+/2qMbPWdI9KCXEQ4G6D7VxxwWaVTKeQpEQGaUTCAy+QN8Kh9VuSq5u+Mm9mlz9ijbuPjb4kbBGAwQC8td/on0arbE5XM7BgIQQAgJGCvS9cFi1I3O0Lsn4XB8d/IJvZhqZzoEGdVJHD9apKSNPozPPGujKeD4CCCSoQL8KR5tBk/Z5G+RPUJDk7pZf9d6D0kVfVw6nOyb3UKD3CDgInEbhcFgbs9wt0LJXFes/1+QZlyuPkeHuXBI9AlEUOI1rVWXoorHZYg94FLMSp1UHjh7UR00X6JLR5/E7B3HKAc32LGD92t/p/llnYfE3uAL9+FwZUEvNe1rPG8vgZsCYtXFg3JhUEEg3AedTcJ1P0e22Mh4YsEDfC0fgM73/yttqmnyXSr81fMANswLTBDgwblpGiAcBUwX6tqvK79V7qx/XfVsmasWW72hs38uNqf0mrnCBwGFt37hTGbPuUkEaCQ7nYRoBBDoFeniHqNWqG7/e9RIUOfP03rAZKt/5vErzO78/HPB6dE16urgcRSeoa+/5G+TdJ45fuTaBBI5A7ASGBF145Mi6lpZ1SRT+EHCLAGPWLZkiTrtApHHbwxaH/WncRwABBAwU8HtV6VmoqR0XOxyv2csr5OVySDFJFoUjJsw0ggACgyYQOKzyeTfr9m0j9WTD31oveniqYbUm7F2gK+ZtVj2X0hs06kgronBEkuFxBBAwUiBQ975e9HxNd8y+RZOy2i6Nk5J1ueY9NF/jPY/r2Q8ajYw7kYLq21lVidRj+oIAAq4WaLu8emmEPjRoz6FGBTScL7FGEBqMh9niGAxF1oEAAoYITNEtU0ZRNKKcDQpHlIFZPQIIxEAgcFibn1yhvaXfVUkeP+QUbXF2VUVbmPUjgECUBVq0f+2jKjvwHa175dvK4eNwlL0lCkfUiWkAAQSiJ9Ci/Z75KnpYWlY5X0Whg+XRa481WwLUZsYBAgi4UyDg064V94SKxgqVjuu8qoU7O+SeqCkc7skVkSKAQEgg4NuqxdMKdOmbOVr5AUUj1gODXVWxFqc9BBAYmIB/l565dbaeqL1Jr+/+F92Uw88cDwy0/89mi6P/ZjwDAQTiJnBC3g3L9ZMPfJLved084muyfuTJfsteWKmWuMWXHA1zkcPkyDO9jLNApIvFxTksmkfAUSDSuGWLw5GNmQgggAAC4QIUjnARphFAAAEEHAUoHI48zEQAAQQQCBegcISLMI0AAggg4ChA4XDkYSYCCCCAQLgAhSNchGkEEEAAAUcBCocjDzMRQAABBMIFKBzhIkwjgAACCDgKUDgceZiJAAIIIBAuQOEIF2EaAQQQQMBRgMLhyMNMBBBAAIFwAQpHuAjTCCCAAAKOAhQORx5mIoAAAgiEC1A4wkWYRgABBBBwFKBwOPIwEwEEEEAgXIDCES7CNAIIIICAowCFw5GHmQgggAAC4QKu/c1x65ep+EPATQKMWTdli1idBFz507FOHWIeAggggEB0BdhVFV1f1o4AAggknACFI+FSSocQQACB6ApQOKLry9oRQACBhBP4/3gjjzkRUg7xAAAAAElFTkSuQmCC"></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 train is sounding its whistle when approaching a train station. Three statements about the sound received by a stationary observer at the station are:</p>
<p style="padding-left:60px;">I.   The frequency received is higher than the frequency emitted by the train.<br>II.  The wavelength received is longer than the wavelength emitted by the train.<br>III. The speed of the sound received is not affected by the motion of the train.</p>
<p>Which combination of statements is correct?</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>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 simple pendulum has a time period <em><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi></math></em> on the Earth. The pendulum is taken to the Moon where the gravitational field strength is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>6</mn></mfrac></math> that of the Earth.</p>
<p>What is the time period of the pendulum on the Moon?</p>
<p>A.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi><msqrt><mn>6</mn></msqrt></math></p>
<p>B.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi></math></p>
<p>C.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>6</mn></msqrt><mn>6</mn></mfrac><mi>T</mi></math></p>
<p>D.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>T</mi><mn>6</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">
[N/A]
</div>
<br><hr><br><div class="question">
<p><span style="background-color:#ffffff;">A train approaches a station and sounds a horn of constant frequency and constant intensity. An observer waiting at the station detects a frequency <em>f</em><sub>obs</sub> and an intensity <em>I</em><sub>obs</sub>. What are the changes, if any, in<em> I</em><sub>obs</sub> and<em> f</em><sub>obs</sub> as the train slows down?</span></p>
<p><span style="background-color:#ffffff;"><img 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"></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>An unusual way of considering the Doppler effect, this had a very low discrimination index with the most popular answer A when D was correct. It is likely the candidates have confused what the train is producing – a constant intensity sound – and what the observer hears, Io, where the intensity is going to increase as the train approaches. This immediately eliminates options A and C.</p>
</div>
<br><hr><br><div class="question">
<p><span style="background-color:#ffffff;">A mass on a spring is displaced from its equilibrium position. Which graph represents the variation of acceleration with displacement for the mass after it is released?</span></p>
<p><span style="background-color:#ffffff;"><img 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"></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><span style="background-color: #ffffff;">Light of frequency 500 THz is incident on a single slit and forms a diffraction pattern. The first diffraction minimum forms at an angle of 2.4 x 10<sup>–3</sup> rad to the central maximum. The frequency of the light is now changed to 750 THz. What is the angle between the first diffraction minimum and the central maximum?</span></p>
<p><span style="background-color: #ffffff;">A.  1.6 × 10<sup>–3</sup> rad<br></span></p>
<p><span style="background-color: #ffffff;">B.  1.8 × 10<sup>–3</sup> rad<br></span></p>
<p><span style="background-color: #ffffff;">C.  2.4 × 10<sup>–3</sup> rad<br></span></p>
<p><span style="background-color: #ffffff;">D.  3.6 × 10<sup>–3</sup> rad</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 four pendulums shown have been cut from the same uniform sheet of board. They are attached to the ceiling with strings of equal length.</p>
<p style="text-align:center;"><img src="data:image/png;base64,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"></p>
<p style="text-align:left;">Which pendulum has the shortest period?</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>Candidate answers were almost equally divided between responses B and D (correct). This question indirectly assesses experimental skills; how do we determine the effective length of a pendulum?</p>
</div>
<br><hr><br><div class="question">
<p>A mass oscillates with simple harmonic motion (SHM) of amplitude <em>x</em><sub>o</sub>. Its total energy is 16 J.&nbsp;</p>
<p>What is the kinetic energy of the mass when its displacement is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{x_0}}}{2}">
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>x</mi>
          <mn>0</mn>
        </msub>
      </mrow>
    </mrow>
    <mn>2</mn>
  </mfrac>
</math></span>?</p>
<p>A. 4 J</p>
<p>B. 8 J</p>
<p>C. 12 J</p>
<p>D. 16 J</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 spring loaded with mass <em>m</em> oscillates with simple harmonic motion. The amplitude of the motion is <em>A</em> and the spring has total energy <em>E</em>. What is the total energy of the spring when the mass is increased to 3<em>m</em> and the amplitude is increased to 2<em>A</em>?</p>
<p>A. 2<em>E</em></p>
<p>B. 4<em>E</em></p>
<p>C. 12<em>E</em></p>
<p>D. 18<em>E</em></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>Monochromatic light is incident on two identical slits to produce an interference pattern on a screen. One slit is then covered so that no light emerges from it. What is the change to the pattern observed on the screen?</p>
<p>A. Fewer maxima will be observed.</p>
<p>B. The intensity of the central maximum will increase.</p>
<p>C. The outer maxima will become narrower.</p>
<p>D. The width of the central maximum will decrease.</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>Light passes through a diffraction grating. Which quantity must be decreased to improve the resolution of the diffraction grating?</p>
<p>A. The grating spacing</p>
<p>B. The number of grating lines illuminated by the light source</p>
<p>C. The number of grating lines per millimetre</p>
<p>D. The spectral order being observed</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 train is approaching an observer with constant speed</p>
<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<span class="mjpage mjpage__block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="\frac{c}{{34}}">
  <mfrac>
    <mi>c</mi>
    <mrow>
      <mn>34</mn>
    </mrow>
  </mfrac>
</math></span></p>
<p>where <em>c </em>is the speed of sound in still air. The train emits sound of wavelength <em>λ</em>. What is the&nbsp;observed speed of the sound and observed wavelength as the train approaches?</p>
<p><img src="images/Schermafbeelding_2018-08-13_om_18.51.53.png" alt="M18/4/PHYSI/HPM/ENG/TZ2/27"></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 beam of monochromatic light is incident on a single slit and a diffraction pattern forms on the screen.</p>
<p>                 <img src="images/Schermafbeelding_2018-08-13_om_18.46.01.png" alt="M18/4/PHYSI/HPM/ENG/TZ2/25"></p>
<p>What change will increase <em>θ</em><sub>s</sub>?</p>
<p>A.     Increase the width of the slit</p>
<p>B.     Decrease the width of the slit</p>
<p>C.     Increase the distance between the slit and the screen</p>
<p>D.     Decrease the distance between the slit and the screen</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>Monochromatic light of wavelength <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>λ</mi></math> in air is incident normally on a thin liquid film of refractive index <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math> that is suspended in air. The rays are shown at an angle to the normal for clarity.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>What is the minimum thickness of the film so that the reflected light undergoes constructive interference?</p>
<p><br>A.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>λ</mi><mrow><mn>4</mn><mi>n</mi></mrow></mfrac></math></p>
<p>B.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>λ</mi><mrow><mn>3</mn><mi>n</mi></mrow></mfrac></math></p>
<p>C.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>λ</mi><mrow><mn>2</mn><mi>n</mi></mrow></mfrac></math></p>
<p>D.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>λ</mi><mi>n</mi></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">
[N/A]
</div>
<br><hr><br><div class="question">
<p>A mass at the end of a vertical spring and a simple pendulum perform oscillations on Earth that are simple harmonic with time period <em>T</em>. Both the pendulum and the mass-spring system are taken to the Moon. The acceleration of free fall on the Moon is smaller than that on Earth. What is correct about the time periods of the pendulum and the mass-spring system on the Moon?</p>
<p><img src="images/Schermafbeelding_2018-08-13_om_10.51.38.png" alt="M18/4/PHYSI/HPM/ENG/TZ1/26"></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>Light of wavelength <em><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>λ</mi></math></em> is diffracted after passing through a very narrow single slit of width <em><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></em>. The intensity of the central maximum of the diffracted light is <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>I</mi><mn>0</mn></msub></math>. The slit width is doubled.</p>
<p>What is the intensity of central maximum and the angular position of the first minimum?</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">
<p>Option B was the most frequent (correct) selected by candidates. Interestingly, the more able candidates were distracted by option D, who were likely considering the intensity/amplitude relationship. As a result, this would be a good MC question for teaching purposes.</p>
</div>
<br><hr><br><div class="question">
<p>The headlights of a car emit light of wavelength 400 nm and are separated by 1.2 m. The headlights are viewed by an observer whose eye has an aperture of 4.0 mm. The observer can just distinguish the headlights as separate images. What is the distance between the observer and the headlights?</p>
<p>A. 8 km</p>
<p>B. 10 km</p>
<p>C. 15 km</p>
<p>D. 20 km</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 B was the most common (correct) response, with responses A and C as equally significant distractors.</p>
</div>
<br><hr><br><div class="question">
<p><span style="background-color:#ffffff;">Two stars are viewed with a telescope using a green filter. The images of the stars are just resolved. What is the change, if any, to the angular separation of the images of the stars and to the resolution of the images when the green filter is replaced by a violet filter?</span></p>
<p><span style="background-color:#ffffff;"><img 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w0zS9Hc56C+jObSR9S7irbcMjTH/i0ezlqBB9PvkdevUvCKXL96/RRHTn2hfAN89gn+qN6FlPVN/yEeTv0mPvvX3+NAFAemv7kUmUqdbGvk8TQJqQ9nIevB7yElWTnuRvIO1FdschqeKN6kHnuoLsLmN5sDcWXQNnY+qv1isc3HMiUROlGGl3cdDlzpKn/07KVA7LGufgBpA96mHyQWjbn21Xt34cSRUxjSX4cZYlwcWdHFQ0vCXbhHqaJyPJQf1fbrIVlfZT/oJmNm8mz57wmU7yoN3EX3n4JrjTLSKPBH8q6ZpX3KE7PpjXw1DSNegk9SGxmeqla/jzAiR9HnCXo55z6jH6zCnvOo9oS4/vR5/09tK6/gMsLm3+/ICuWl1yE4uiLCSJIQA4wSCI4eiebp9oFG/fQ+GR5N3eVVQWDUj/5EumZo6x14BbZhhFEJPW3CXZjR+3vDK9KohMH2d7geb4UoHHBUgqJ3m4XMP1y06xSxvsMY9dPviArjaIKw/a1siyuNQib2IeV7X1o9+z0u+x8l0jvK4sZRljPigqM5BljX4KiKKNpYVPvlivC6n4ncngcc9RNlLBqD7SsYb9RX2KifkDqEr+dIj/oxHCeR2knYtKjiYcT9ahc5OVrbjXrUz81vn8q8w92id1R6R/tk/OS7gafvQ/SO/hlq94/az+8pV59yV5+4LnkL+7Zl41uBrzUTMPeRrahQb98qMpC/pwaetwJPofcn5BkC+Ut7fjk8bR8F7v6cqMNfTw4lk5dX3alPYp/HGeju0dnz4XDvw9PKw7QRyyi39z9A9c4VmBG23RK3O/HhnvzAVaO+7hsWBR7kuo66R/Xb8Sl4bF9vmTvRg4hzVG7Db90Dj1O5falNU7d/Lepfy+qzTkNlsS7D1n3vwRnct5Lcpns8FXhNf4AyWtGuU0TxSN3wWuh6KreKK5zY2V89Ji/ChvC6qw+AulH9tF27Ep6Mv31sq9ZnLd05DvhyLnr7sSV1fU+i0bFSfmhC5V/bAncPIopQT3UfO+Cu/q9j7GFaua5P/DrQBaSMxPn173HGH0Ubi2q/KA+wF4bNR2sr9SXImqE8eBpJlLFoDLav8X/7GPapz+gplA6paO9aDi0ujrToYmngGUSPHo9l2y+pLce2h9X7cL0iHFvWnBJUVG/TjhmTtE8tYTG1UVJNyXC1GfxbJIYrnQGuFEavKO8OEJnQ6IktREMQvAtj+HsnhrtdZo7VkdrkTUqHbhUTMWfhvYHMtHoD0mLHISbma7AtfQbVShb6xPci/D0TIiKiETR+FhZmp8o3PlRvWoxY5TmTcTOxdLvydMtyPJGeeEMf+B1pTFRGlAVxS/4rqt0OretHo9xyd74X7AYhIiK6ce7Akqf3we3Qu+IDrDlFcHpew4ZUZbTP6BGj3FbR3puW8sT7KKgmEY0yjC1E5hKpTfKOChEREZkWExUiIiIyLSYqREREZFpMVIiIiMi0Rs3DtERERHRrMKYmHPVDRLcsxhYic+GoHyIiIhpVmKgQERGRaTFRISIiItNiokJERESmxUSFiIiITIuJChEREZkWExUiIiIyLSYqREREZFpMVIiIiMi0mKgQERGRaTFRISIiItNiokJERESmxUSFiIiITIuJChEREZlWWKJyGc2lj6j/m2VbQRU6tak0gnwu5Mrtm1Rcj2vaJCKiG2ZMx5xrcvWekOesdBTXd2vTboRP4cpNQkxSMeoZuG+60ESl+2Ps39uA79q/C+z4F7zdfFn7goiIRiVrFsqEQMvGVIzXJhGNJoZExY/OundQUr0Qj6//CVJQgzdqWuVUIiIioq+GIVE5B8/BCvisSUhc8gB+kgFUvPFntIzVTEW9HZqEx4r3oawgU+3uiomxIb3AheZufaX96G6uQmnw+xjYcovhqvcNnMD5fagvK0C69puYmEwUlNXBZ/jRxSO/R3FuivZ9+HKl7mZUlRrnoZTZi3rfl/JL/XbnYyh2laIg3aaVkctxHUPvDVCl/gcNy5Hfv/Y8cm3G28Bfwle/1zCPFOQWHwytCxFFqbcrIjc3XWtTj6BUuTsdHhdsuSiubO5tr2pMUtr5y4Y2K9vji39C87Gwdmxs5wPGCimk6ye62OH31RnionyF1zXEdaxzn/ijxNgXUdmsP3gwlBgsL7arNsOmLztIe6TBthlVnfJXg9ZJktu0sjhXzkspo2zPctSevqh9STed0HW4Rb4VwprvFh3ikmhyrBTASuFouqQV+OoYqzlivE6RI+cLZIh8Z6PoEleE1/2MsMtpgW0gRE+bU+Qp2yRnj2js6lEmCHdhhvzNclHk+SIwnz6+EJ6i5ep8C91tokfOqdGRJ6ywigxHo+iJYrmip1U48+YL2J8Rbu8VOUGWqX1F5AT3z1VZ/bXqdoG9UDib5K+CdUsV+e6zyly0+luFPd8pmmT9e7wVotBuVX+XWOSRc+kRXZ4Suez5IqekRniVVdTKWPOcok1+JhrLRj629LbNQNy4JLwNR2Tb0uKCNUeU1Hply9Pb/XyR52yVnyVDbAjEDj2WyGn674LtXIvNg8aK3vkG2nwUsaOnUTgyZJywlwiPEveCMaw3toQa/jr3NDlEhoyN9qJaGQulriPCkSPXx1oo3B0yZg0ag/Vl2+VnOQf1PKbFWmV+Cm19Atsjiv0Q3Kbh20dus8Qi4bmqzpVuEGU7h9OmyNOpuzDkQNQPoJAd/hWJVPHrpjXeYGNW6A1UPRjPCnd+qjygnxTONiUAaLpqRZFyss9wiKZIGyYk4YtAD0bG34cst59tH1JGb5yhgSPwOz0gacmm1uC1Etp+1sro8wxZl77HAtFYNfKxRW+biSLHeVqb1k+bFnqM0dpohJikt2njtKueIpGozX/wWCE/R0xUBogdkWLjgIa7zjJJiFCXXtHE4LBERf+NIaYF6hFYxuB1ksmRoXyQFteZqNx4kdpkoOvH/yn+8Pp78GX8Z6yx36FOsiR9N9D9s6Uc1crtsjFq4rQpmKi9h2US4hO0T/7P0fqRF0hZiPnW2wPTFJNnY+EiG3CkBW0RukeuHW+A02dFSrINk7VpkSQuW4DZesebcbmSZW4eDoo2OO9vxzsuF1yufSj+2UqsqfBpJXSxmDZlgvZe/i42Hgnae/hbUfNGDbAsDfPiggtCXNoDWC0zFdVnn+CPcp4hdVHKzEvDMtTD2XBK6x4ioqG5EymzvqG9v4bPjtahAslYtmCmob89HvMWpwG+D9FwvLdbwRiTAm06EcsWz0GcNs0o+lgRboDYMT0VD+fNh2/HL7G+eB9cVf11+YQb6jp/iemLM5BnrceOVf8FxW+/i6pgl480rBg8FWmZMhWpcGH/X87Lz5fRUvMBKqwZyEyLi6JOnVqZNCyeF699L8XNweJlidoHutnUfeVvcWN36VGZlaxB8jit327cvMDB7qvAQc85tfAtxX8B507I9U+IR2zvES1NwJRpsXK7nMP5C/0lcBPlzyYZGsIQ+c+gavMPEJucjnXvnoRfLnN2bjEcOUNoKHr9w02cgml6LtZ1Hu3y3xOb0nCb3l+r9tlmozxQhIiu2zV0nVdiaDU2pcX2trOY22DL3h0oMlwjESvCWWYha6cTbucvkHBgI7KXJiNWfXbN1fvcy6CiW2fLjBXYWX0Izq0JOLByBZYmTwk8M+Kqh+/acGKwfjF2ACVvNqBTu2Czrn4AaXH+KOp0Gd6TTdp7o29gVsqd2nu62eTu1zJOrISj6ZJyz6X31eFGvsx29x78+Nb7myqWSZiaaAXaz6MrpC1cRsfZLsA6FfGT+ktFTuDwyX8f5t0IPzqrX8Wq7V7kOVvRVrYRP87KQpZ9lqzLEB7m6q/+FztwVptN4CrKigxHI3qM+117cTgj0UgYj9j4qfLfCDFWfR3CxtSB7r/2p2dkYkUkk+diSdbP8cIhL0RXE9yOH+L0pmz86KWaKM8F0a6zRS7Kjqy8F3BI9KCryQ3H6nZsyl6Ll/7YPbwYHHc3Mlenwrf3D6j1/AlvVNiwOvNuxEVVpztgm50sy8gkqMsYwb/AqSOfau/pZrPoXQTWvJ8iM6n3VqDKsMM9Y7j7JyLLHbjrHuX2YgOOGq8iuk+ioU65HZmEmZP7NpLxcxYiW7ati2c7MLxQ4ccFmfX7MA/3zZ+uZJIB3V40HRnsdq6B5S7c/5P7w26P+tF9/K+o02cz/Tv4foTRXf7mUmTG2JBZekz+goiuz3hMn78IGX3+5IP+BzbDR6lES4xMrBiMkrTkrcP6nET4PmpFe1RBYTjrrCQtS5D31FrkwIuPZF5w5zBicLD7x/chfvvqPq3bR0lQoqnTNa3MSTS1GTq8Oo+jtvKE9oFuNou/5c+BjPOx72FGn32u7/D38PofPr3FTlp3wP6LzcjDq1i3+Xc4ppzsldus257GpuqFKNqWhbmR2kjcQjyyYTl8O17A81Vn5DaTycGxMnVIcHR/7deC2FnJsMvGtHf/x2rfsDpU8LkXsEOJPRfPoeNiNHtiApIyfyrrvwfPPveOOtzY73Nj28YiVGslYJmNzLVZsFa8iOd2HlaHT/t9h7HzuRdRYd+EbY/M7Q1+RDRslqSlWJv3TVRs2Y6d8krBrwzLrXPguS01sBdtxCNzwy4SoxIzQrEilP+MC2tsxj+ZoMSwKrxbeRH2ZfNhizIoDL7OFpxxrYMtZGh0J469fwCVWIhlCxZg6XBisIxage6fapSXV2vdPoGC0eyHQJkr2LGqAKXHZMRWlvm8tk3pK2H5y36XIeMMJ3f4ohXYYP//ULrbLa+6u1FfrIyTfwIu39h/zDLQf+rG1oR9mBc7DjHjZmLVmWVwel7DhlTDg1Yh4pG64TV49tyDD5fOxLiYcYidtw8JW92oftoe8YG4UPKqInUNdjsfBzYtRmxMDMbZnsYnyevhLFoB+FrQ2h5dP3Gg/v8Ly9v/Ecmy/uNsxehZ/g8ysOlux4ysEtR78pGwfyVs45RlrcT+hHx49j2J1IhXK0Q0ZMpzH69VwLM9AfsX22Rc+Bpsi/cjYfs72Ldh0YAP3vdv3IjFCiPLjL/H1vdeCcaNGD2GDbWug66zjD8r/hvecy5D+7p5av1jYqZg3t47sF2LscOLwZLWGwCkat0+mmj2g/aMTsWGa9gyb4pc5t/h2Z7vId+uj0Kgmy1GKJ1zJqc88DQKqjk6KH/8yZYPOA+hLIsPh9GtjbGFyFwitUleMo9Zn6OqIA0xtjWB25eK7mNwvbQb5dYH8fDi6YFpREREJsZEZcy6A/andsOp375UbqvGLsEu/ATu6m3ImmH4uwREREQmxa4fIrplMbYQmQu7foiIiGhUYaJCREREpsVEhYiIiEyLiQoRERGZFhMVIiIiMi0mKkRERGRaTFSIiIjItJioEBERkWkxUSEiIiLTYqJCREREpsVEhYiIiEyLiQoRERGZ1qj5nxISERHRrcGYmvD/nkxEtyzGFiJz4f89mYiIiEYVJipERERkWkxUiIiIyLSYqBAREZFpMVEhIiIi02KiQkRERKbFRIWIiIhMi4kKERERmRYTFSIiIjItJipERERkWkxUiIiIyLSYqBAREZFpMVEhIiIi02KiQkRERKYlE5Vu1Benq/9r5T6v9AKUVjXLEreKT+HKTUJMUjHqr2mTiIjMwOdCrozLScX1YHgaqpsU27mPbgjDHZW1cHqvQggRePV4UftQO7YsfRTPVn2ulSEiIiK6efrv+rFYsWhNLlZb67H34Mfo1CYTERER3SxRPKNiRUqyDZO1T2NKdzMqi3NhU7u6bEgvKEft6YvalwF+Xx3KCjKD3WG23BdR2RyatoWXUbrMyup98OMafK4n5LR05Obq3WuPoLT5svIj1JcVIF3/jS0XxZXGbja/rF4VSo3zjclEQVkdfH69SNg8YlKQW3wQzd16gcHr36fufepBRNHT2/xjKHaVoiDdprUt2XZdxwZs37bcYrjUuBGtTjRXGZehtH8X6n1fat9r3R2Pyfka40T6ZriMMaxPHHwZxbkpod0kA8arAeJciP7LDRpnB411Q9men6OqIA0xmaVoNn7pP4bSTBtsBVWBC/OoYvTBwLZSy8h9/PphnNa+pREkRJfwFNkFsFY4vVdFUI9X1JbkiMScPaKxq0eb+NVQqznSelqFM2++gL1QOJs65Oc24S7MUJeFxCLhUTZFV60osluFNecVUeu90lvG+qRwtsnPCq0M7M8It1Km64hw5Mj5YqVwNHUJr3OtOk+ruh0vCW/DEeHt+UJu8+VyPjmipNYresQV4XU/I+yYL/KcrfKzsiinyLNahb2wQpZXJgT2hxWpIt99Vk64JJocK+W8l4sizxdKAdHVuEfkWOWy8t1CrtHg9e9pFI4Mpe4lwqPu4w7R6MgzLINobBv52HI12Ob7xpbedhVo33pckG0vWEZvzxF4nSJHzjexyCOXckW0OZ+UbXW+yHEckVFczsJbIQrVWKS359PCmZMo5ynjSL5TNMlpwTLWQuHuUJYbRRwUg8Wr3nUOjXPKb436KdcxWJwdPNYNvj21baGuU4/ocBfKbafE6Evyu4CeJofICO6jIcTo8G0b3Ec0HMr2C2dIVOSBGeEVPHi+Qko9RlroQanpcIt8ebAHDma9cYQezHqZQAPRD/j+Tux6w0wUOc7T2jR92VaR4WhUD/iAs8Kdn6oFkAsRlx34nd4ItIanB5w+oqi/FviCiQ3RLWbkY4ve5kNjQmjb1du64YJHoV/0ZDhEU6QmbUxU9Hac5xRtwbLyBO4pkSdTPbZEihF6XLDLE3hXFHEwmnglT+IR4lxfkeJhNHF2sFgXzfY0JiryO3X+xnXS6qEtI+oYHVIn/XzAROV6RGqT/T9MKzrQ5CxEcvk6rNjye5yJ/n7kKHANnx2tQwXSsHhevDZNipuDxcsStQ9ncfSPDbJNLcKC2RO0aZJWxudswPFrF3G84UP4MBvJMwfqHLsTKbO+ob3Xl52MZQtmGvre4jFvcRrg+xANx/2Ym/em3Af/E/e3HYTL5YLr7WL8zL5G/k43HYsffhBW33asWl+Ct13VIV0+UdX/m6l4OG8+fDt+ifXF++C6pUZ4Ed1IsZg2pbfdWWLjkaC9h/9ztH7kBVIWYr71dm2iNHk2Fi6yAUda0BbSlvvyt7fiI58VKfd9B9ZgELFg8pwFWGT14UiTt7ctT5yKKRP1QuMRGz9Ve38ZLTUfRIiDdyNzdar2IZp4pXeXG+PcQIzloomzg8S6qLZnjzZRo66jDRV738dflHn5W1HzRg2sqx9AWpw/inVuDdR7WRrmxeklLIibl4Zl2icaOb37oI84zM3agKfzU+ErrUDtZ2NpsNVleE82ae+NvoFZKXcG3vov4Hy7bIAnNiHtNq2PUn19C9nlJwJlgqYiPna89n4w19B1/pz8txqb0mIN870NtuzdgSKS31eJzenfRvLSLXj35GW5p+Yg97f/A/KKSnM7ZmRtQ7Xbia0JlViZnY7k2HG9/bLR1N8yC1k7nXA7f4GEAxuRvTQZsX36uYloRMm2ee6ED0iIR2xIBJ6AKdNi5YnwHM5fGCRR6TqHE5goZzEpNIhPnIJpE+Us2s/jgjapfzIWnTurvTfS6qGKLl4NW1RxdvBYN/j2VC7UjaYiLTMD1urX8WbdOfhb/ow3KmxYnXm3PPNFsc5X23HycPh5QJo2Cyn6tS6NmAESFYWWQY45E2CbnSz/lQdwlzEB+wKnjnwaeGuZhPgE2eIzHGjq0e8yGV4tG5EazE2acNIb/uBYf/QrmpVwNF3qO19xCBtTL6P6pUJsb8qCs60eZRsfRVbWw7DPHIf2wEw0MplckoW8Fw7K33Wgye3A6tMlyP7RLlR3T4iu/pPnYknWz/HCIS9EVxPcjh/i9KZs/OilGo70IroRZGyZmmgFZDLRFZKPXEbH2S7AKi98Jg0cmi2xU5GIi3IWF0IfFr3YgbPyvG+VJ+1J2qT+yVg0dZr8NzwOavVQRROvrmOoRdRxdoBY1/X1KLZnjDZNZ0Fc2gPaqNZ/g0e5s2TNQGaasq5RrPN/mIPZ98mMJHyZZ0/hSIT8ha7PIInKeTTWeqJqOKPLeEyfvwgZOImmNkNnR+dx1FbqR9k0zP/+QqDiA9S0GJIQ7cnwwBPjEzFn4b2wogtnO6JPVALLrsEbNa2GIHMZzaWPyKxdeQpeBg7ZAEJvZfrR3daCI9qnvpSGnIOn1j8kryBa0NoeH0X9tWk6JWnJW4f1OYnwfdSK9vDviej6We7AXfcoXRINOGq8c9l9Eg11ShdGEmZOHiRRSbgL9yhdPIc/6R0FqMSI439FndIlFNVIzQlIuv/BvnFQr4cqmngVbeyLJJo4q00LCot1Z2Oj2J7jtIkGWheXr+53eHWv3u2jbPdo1jk2UO+Qbjo/Ohs9qNQ+0QjqfZg2bNRP8Cnn8AeKbj61miNNf9rdmiccjZGfdu99klx/Gl0feWN4Mj981E/IyBmf9vBY4MG1oOCyDU+U174icpQnyItq5R7RnjgPLkd+7ykX+doT5eoDZuFP6yv0EUfaU/+D1T/8qXVZQHuaXq8H0dg28rFFf2A0rM2HjNgxxpabMOpHf4BUFVa/aEb9DBqv+lnnPiKXGzTODinWRTPqJzALWSj48Gv4w8+Dr7OyiNBlctTPyIjUJg2JirKzwl5yJxVVNBlOWP0lNTeWUpcboqtJVBQpDUJZX+WEvTWQDBgO5h5vrdiTrzVc5WXPF3s8yoHbK1IZh1vZbgM0YNkYPXvyZSKo/QYZIn9Pbe+Qvq5G4QyfZ8VbokgZTqyNCujxeoQzWH/lpaxDufAYRmkNXH8lAXKKInU4tT6PsHoQjWHKMT+yoktUZMuU4cctHIa2ac0pEs6w2BKizzw6RJPbEbyAgZK0FDkN7T+KREURRRwcOF5dX6KiGCzODh7rBtuekbaFpI9wijSiaLAYrS7zA0P8lN8XbVDLM1EZPmVbhotR/iO/MDXlQaZRUE0iGmUYWyJR/lBcOrKxA96yLMjkgOimidQmx9KDJ0REFDU/Oqs2w6aM9Cs9qg1n7kSz6zfYVf515D2ciunqNKKvFhMVIqJbkgVx9vV4z5kLbElBrDoEdwqSd/VgtduJnVmzeIIgU2DXDxHdshhbiMyFXT9EREQ0qjBRISIiItNiokJERESmxUSFiIiITIuJChEREZkWExUiIiIyLSYqREREZFpMVIiIiMi0mKgQERGRaTFRISIiItNiokJERESmNWr+Xz9ERER0azCmJvyfEhLRLYuxhchc+D8lJCIiolGFiQoRERGZFhMVIiIiMi0mKkRERGRaTFSIiIjItJioEBERkWkxUSEiIiLTYqJCREREpsVEhYiIiEyLiQoRERGZFhMVIiIiMi0mKkRERGRaTFSIiIjItJioEBERkWkxUSEiIiLTMiQqfnQ3V+Pt4lzYYmIQo75SkFv8BqqaO7UyY92ncOUmISapGPXXtElERKOZz4VcGc+Tiusx9sLaNbl6T8hzVTqK67u1aTcCzw1fJS1R+RK+qmfxo+T1eA+PorqrB0II9Hj/Bfcc2Yql9l+h9NitkqwQEY0h1iyUyXjesjEV47VJRKOJmqj4z/weW1btBooceHVjJuZODuQvFut9+NWunchHKdb88m00+9XJRERERDeFzEguo+Xg/0ap736sfuhuTNa+CIq7H0+9dwDO/7wAsdqkMaO7GZXBri4b0gvKUXv6ovZlgN9Xh7KCTK0rLAa23BdRGdYVFl4mJr0AZfU++A23JXNz07XvH0Fp82XlR6gvK0C6/htbLoorm9F781LpiqtCqXG+MZkoKKuDT08Yw+ehdtUdRHN3b0Y5WP371L1PPYgoetfR5tUuGiUOvYzi3BTtt7JNv/gnNB87aJgm44DrWO/vZByrKjXGAWUee1Hv+zLwfUjXj16/x1DsKkVBuk37Teg8hxYXrifOfQlf/V5DPSLE2PD1U+bhqu+Ng0F+dFZtlvFcW3bQZTSXPiJ/txlVncqPwpfZN25Gc26gm0j0NApHhlUgwyGaeoQpKdUccT2twpk3X8BeKJxNHfJzm3AXZqjLQmKR8FyVZbpqRZHdKqw5r4ha75XeMtYnhbNNflZoZWB/RriVMl1HhCNHzhcrhaOpS3ida9V5WnP2iMauS8LbcER4e74QnqLlcj45oqTWK3rEFeF1PyPsmC/ynK3ys7Iop8izWoW9sEKWVyZ4RW1JjrAiVeS7z8oJl0STY6Wc93JR5PlCKSC6GveIHKtcVr5byDUavP76vreXCE+XspAO0ejIMyyDaGwb+dhyddhtXv5Q5CjxBxmi0N0mp2m/UabpvwvGKSW+XJJtWI9jWvxR5lv7Smgc0OabWOSRteutX9/Yp7X7IceF4a9zT5NDZEDGuaJa0aXMSo+f1kLh7pAl9PWz5glHo7I2+jz03+jLtss4KOfQ4Rb5Mm5mOBoD21ShrU9ge8g46SlR65BTUqPG1h5vhShU4mSeU7SplYri3EA3jLKdw0Fc9YiiRLkDcpzCq000m0gVv16BBhLW8NSDXD8Y9URACwg6rYx+0He4C6NowIkix3lam6YvO6wxibPCnZ+qNdALEZcd+J0ecE4LZ05ib4PuI4r6awEsGNCIbjEjH1uG2+bl1AjtUW/zxmlXPUUiUZt/xPnqiYZ+Uo2YqITGrJDYMuS4MNx1lklHhLr00uOrIZlT6Qmc8WJQS1T0+RsuvAP10JYR8cI8NI6HlNeFnBu0aXRDRGqThlE/t5Jr+OxoHSqQhsXz4rVpUtwcLF6WqH04i6N/bJBtbxEWzJ6gTZO0Mj5nA45fu4jjDR/Ch9lIntmn08zgTqTM+ob2Xl92MpYtmGkYdhWPeYvTAN+HaDjux9y8N+Xe+p+4v+0gXC4XXG8X42f2NfJ3uulY/PCDsPq2Y9X6Erztqg69dRlN/b+Ziofz5sO345dYX7wPrip2+RCNjKG2+d5uhYnTpmCi9t4SG48EJGLZ4jmI06YZWebm4aBog/P+dryjxAnXPhT/bCXWVPi0Ev2JxbQpvXEhsBzN9OHGhaGu85eYvjgDedZ67Fj1X1D89rthI0y/RHtri4yv83Df/OmGecRhzsK7YcVJNLWF12wq0jJlelThwv6/nJefL6Ol5gNUWDOQmTYV+OwT/FFum8RlCzA7OEML4ualYRnq4WxowZlBzw10s1kw/m8w+z65A9rPo6tPn99YdRnek03ae6NvYFbKnYG3/gs43y6Dx4lNSLtN6xtVX99CdvmJQJmgqYiPjfZ5+mvoOn9O/luNTWmxhvneBlv27kARye+rxOb0byN56Ra8e/Ky3FNzkPvb/wF5paO5HTOytqHa7cTWhEqszE5Hcuw42HKL4VKej4mm/pZZyNrphNv5CyQc2IjspcmIVftrXb3920R0naJr88PiP4OqzT9AbHI61r17En5MwGwZAxw513FSHZG4EN06W2aswM7qQ3BuTcCBlSuwNHmK4RkUOY9zZ2Wp8PhqwcQpU2Uyd16eti5p03Qy6Uh7AKutB1DyZgM6/a2oeaMG1tUPIC3OAn+X/I0sdWJTGm4L1km+bNkoV39/EWcGOzfQTSdzymmY//2FQMUHqGkxPoBkoDzM5Pp/xtDJawJss5Plv+dwvss4KP4LnDryaeCtZRLiE+R1TYYDTT1CuRcV+mrZiNRg22nCSW8/266P8YiNl5k9VsLRdKnvfMUhbEy9jOqXCrG9KQvOtnqUbXwUWVkPwz5znNrIesVh7pIs5L1wUP6uA01uB1afLkH2j3ahuntCdPWfPBdLsn6OFw55Ibqa4Hb8EKc3ZeNHL9WAA9KJRkI0bX6gO7L96UFn9atYtd2LPGcr2so24sdZWciyz5IXntf54Od1x4Vo19kiF2VHVt4LOCR60NXkhmN1OzZlr8VL1V8gduo0WSY8TvtxseOcTCnikRD/dW2aQdzdyFydCt/eP6DW8ye8UWHD6sy71TtSgTtHVhkWG9HTp07KEO7vYdZg5wa66WSiMgFJmT9FnrUGe/d/3PcWX/dRlD6ZjaW7ZJYZ9V0DsxuP6fMXISP81mHncdRW6ndL+kng/MdQmmlDTGYpmv0TMWfhvfKw78LZjugTlcCya/BGTatscjrtyXT1iXXZSNrPAykLMd96u/a9H91tLTiifepLSVpy8NT6hwBfC1rb46OovzZNpwSnvHVYL6/GfB+1ov2WucNGdCNF0+ajjR9GAhfOn+vbNdLtRdORwbp+hmBYcWE466wkLUuQ99Ra5MCLj1q7MO2uJBlfG3H46GeGeXTieMPHA3S5a90/vg/x21f39Xb7KKZ/B9/PkGHxjT+jxbAe/uZSZMbYkFnagmmDnhvoZlOPbcuMv8fW364FNq3Bk8FhWsrw2IMofvIfsKZyERy/WYNU7e+rjAWWpKVYm3cFO1YVBP6YnXIL9fkXsCPYvvUE7i1sec6BOuVukt+Hup3bsaViIYq2ZWGuxYK4RSuwwe7FjmdfRZV6x6kTx0rXwBaThoKqzwOzChNY9jdRsWU7dtYpw5i/hK/Ogee21MBetBGPzP0bzEr5tmxNej+rMpzudTz37B7ZOIGLZztw0X8KrjUpiEnfDJfer9t9DO+/exiw34sFtrhB65/kc2GNTRl65+rd58eq8G7lRdiXzYdt7Oxuoq/U4G3e8BxZ1GIQOysZdpkM6BeZ6rDi57Q4dvEcOi4azsZR8p8Zmbgw+DpbcMa1TsZK49BoGT/fP4BKLMSyBTZ8w74Wr+QBpev+O/aof3RUzqNqJzZuahhgu+ndP9UoL68OdvsEvpqNzLVZsFa8iOd2HlaHOPt9h7HzuRdRYd+EbY/MxfhBzw1004mgK8LreU848rVhWOprvsgp+t/CrQzRCuoSniK7/G6tcHpvzuPPIdUcSV1NoqJIGfKrrKtV2PO3inxlqLHhye4eb63YY9wm9nyxx6MMtesVqYzD3dR36JxRj1d49uQLu/4bZIj8PbWBociKrkbhDJ9nxVuiyPDEeo/XI5zB+isvZR3KhUcdphgwcP2Vfe4URepwan0eYfUgGsOUY35kXUebDxmdo1GnhY6mMY76EaJDNDkLQ+fpeE/GhRXyvTbiL+Kon7D6hZQZaly4jnVWvncWqcOpg8sKj7EyTrsdhnlYc0SR06PNo79la6N/Io4oUtavPBDr1Xn2jZvRnBvoxlD2SbgY5T/yC1NTHnYaBdUkolGGsYXIXCK1Sd7cJyIiItNiokJERESmxUSFiIiITIuJChEREZkWExUiIiIyLSYqREREZFpMVIiIiMi0mKgQERGRaTFRISIiItNiokJERESmxUSFiIiITIuJChEREZkWExUiIiIyLSYqREREZFoxYhT8P86V/+0zERER3RqMqcmoSVRGQTWJaJRhbCEyl0htkl0/REREZFpMVIiIiMi0mKgQERGRaTFRISIiItNiokJERESmxUSFiIiITIuJChEREZkWExUiIiIyLSYqREREZFpMVIiIiMi0mKgQERGRaTFRISIiItNiokJERESmxUSFiIiITEsmKt2oL05X/9fKfV62XBS76uHza6Xp+vlcyJXbNqm4Hte0SUREg2LsuA6fwpWbhJikYtTfyI3HfXRDGO6orIXTexVCCO11Bd53FuHIujSk/tyFM0xWiIiI6CYboOvndlgX/Se8+l4Jkku34eXqz7XpRERERDfHIM+oWDD5b3+A1Rle7Cj7V/i0qWOCeosuCY8V70NZQabW3WVDeoELzd367SM/upurUBr8Pga23GK46n3ymwH4fagvK0C69puYmEwUlNWFdKFdPPJ7FOemaN+HL1fqbkZVqXEeSpm9qPd9Kb+8Jqv/hJz2GIpdpShIt2ll5HJcx9AdmIOk1P+gYTny+9eeR67NeGvyS/jq9xrmkYLc4oOhdSGiKA2lbQ4jtoToRHOVcRlK23VpMUKhdXc8JudrjEfpm+Fq7tTKSDLWVBbnwqZ+r8SZlwMxw9hNEh7TlMcCKpu19dHXOR25ufpjBI+gtPmy+m0vrT7pjyFXr3NmKZrlCvt9dYY4rGyLF1FprGOfmBoep4ayPT9HVUFacNlB/mMozbTBVlAlt6zyeaB1VkSIr68fxmntWxo5gz9Ma7kDd91jAyo9aOyMvgmNDiewb1MZPlm8E11KV5d7LbAjG/Znq9UD1X/mHfzSvhRb2h9FY1cPRE8bfjujEtlpP0dJ/fnALPo4j/qSnyPt8Y9wr7sNPaIDjY6Z2Pv4Cjy+51iw0fjK/4wvHn4r4nLhPwXXL7OxdO9EPO29EuiGq/1v+NbeHPzopZpAGdU+bNrVgsW7j6l1cxcqs1mFZ6sCd78C9f8ZDiT8E5pk/Xu8GzFu38soD2acsqHVv4pH03ag/aG34O0RskwJZhz4Gey/fIfdfUTDFk3bHGpsMfoSZ1ybYV/6ItpXV8g4orfddUh79FXUGy809pVg1yeLsVuNARUoxB5k259HlRLPtViTcWAGXmnqkPX4f/H0uAPYVH5U+7FCi2mF7Xio1itjmoxHv52NAxnZ+KXrlCERqEYlHpfrcwnehl/jB0kTtOlhqj8GlDr3eNHw/A+QdLEOJY+uQGH7Q6hV4p26LT5Ahl0mVGeUpOsymvf8UsbU/4Plni9kPOxBV+NGoOTBYcbqqUjLzIC14gPUtPQmU/6WP+ONChtWZ96NuCjWOWJ8PfA7uRVoxAnRJTxFdgGsFU7vVdHXYN/feGo1R5rXKXLkfK35btGhTRI9jcKRYRVILBKeq2eFOz9VwPqkcLZd0QpIXbWiyC7LZDhEU482zajDLfKtYfM10pYb8vuQ5cqPTQ4hm5HIcDSK4CJCylyVs1krt0uqyHef1Qrov4NILPKIq+KSaHKslPUvFO6O4IJk9QqFVS+jzzNkXfQyofMmGotGPrZE0zaHGVu02KHOQ48zeU7RZmi7XZ4SYQ/GjtPCmZMYFgO0uAC7KPJ0afUKa+vavAeMR8F1UOZ9RVvnRJHjPK19H4lWn5BziV6flcLRdEmbJoXE0UjrYRTN9tTmoa1TYP7GdQqNl4Ov84XB46s2lYYmUpsc/I7KGDdx2hRM1N7DMgnxCdon/+do/cgLpCzEfOvtgWmKybOxcJENONKCtgjdI9eON8DpsyIl2YbJ2rRIEpctwGx96xuXK1nm5uGgaIPz/na843LB5dqH4p+txJqK8M63WEyb0nvVYomNR4L2Hv5W1LxRAyxLw7y44IIQl/YAVsuWpPrsE/xRzjOkLkqZeWlYhno4G07xyXWiYRmobQ4vthj521vxkRJn7vsOrIa2O3nOAiyy+nCkydvbRTFxKqZM1AuNR2z8VO39ZbTUfIAKpGHxvHhtmhR3NzJXp2ofruGzo3WyTDKWLZhpuAUfj3mL0wDfh2g4flGbdidSZn1Dez+AxCTMmjZe+3AWR//YIKctwoLZhjswcXOweFkifM4GHL82HYsffhBW33asWl+Ct13VoV3TUW3PHm2iRl1HGyr2vo+/KPPS4qV19QNIi/NHsc6tgXqHx1c1dtJI690H/bqMjrNdYQfXLcB/AedOyMQgIR6xIVtpAqZMi5UH6zmcv9BfMJkofzYpmo0bmf8Mqjb/ALHJ6Vj37kn45TJn5xbDkZOoFYiCXv9wE6dgmp6LdZ1Hu/z3xKY03Kb3w6p9sdkoDxQhopF2XbElwN91DicixRmtffvaz+OCNql/19B17qz23kirh0qWOX9O/luNTWmxvTEi5jbYsncHilwPuS3Ot8tE58QmpN1miEEx30J2+Qmt0O2YkbUN1W4ntiZUYmV2OpJjx/U+gxLV9lQu1I207p/q1/Fm3bmwbp8o1vlqO04e1utnMG0WUoYQpik6g59LtWzVmr0Qc26hPEW5yzE10QrIBt8VEjO0xM06FfGT+tt8J3D45L8P826EH53Vr2LVdi/ynK1oK9uIH2dlIcs+S9ZFv3KJQn/1v9iBs9psAld5VmQ4GtGjDkkPfbVsTJXXX0Q0oq4rtgRYYqciERflLC4YnhGRtPZtlSftSdqk/o1H7NRp8l95Iu8yRiutHir9DsxKOJou9YkRQhzCxtSB7h0PQr+bnOFAU0/4vOWrZSNS1SAUh7lLspD3wkE5vQNNbgdWny5B9o92obrr61Fszxhtmk6/u1yPvQf/DR7lzpI1A5lpyrpGsc7/YQ5m3yczkvBlnj2FIxHyF7o+gyQqykmzHFuCmeYtRH+I+EgDjgafope6T6KhTrnNmISZk/tuvvFzFiJbtpmLZztkGBkOPy7IbN6Hebhv/vTeHdTtRdORCHdI+mO5C/f/5P6w28h+dB//K+r02Uz/Dr6fAVS88We0GBqbv7kUmTE2ZJb2PvxLRCNkmLHFyJJwF+5RungOf2IYTai378G7ngMmIOn+B5GBk2hq6x3LEqyHajymz18ky9TgjZpWQzy4jObSRxB5dM9QTMP87y+UQSj0wVZ9BE6fkTkqJWnJwVPrHwJ8LWg9GxvF9hynTTTQurh8db/Dq3v1bh9lu0ezzrGBeofF185GDyq1TzRyBmgNnWiu3In1q/YguXA7nrLfoU2/VdwB+y82Iw+vYt3m3+GY2o95BlXbnsam6oUo2paFuZG2XtxCPLJhOXw7XsDzVWfkoSuDx7EydUhwcNjbgCyInZUMu2wke/d/rPYzq0P3nnsBO5QE4+I5dFzs03IjkEEo86ey/nvw7HPvqH26fp8b2zYW9T6VbpmNzLVZsFa8iOd2HlYDnt93GDufexEV9k3Y9sjcwTJZIhqyYcYWo7j78YtXngRK/xGb9xzV4oTWvofQdi1JS7E27wp2PFsSGLIcrEfvRVGgzDdRsWU7dsqrHL/yJw3qHHhuSw3sRRvxyNx+RvdERYtT1rew5TmHTLJkouH3oW7ndnmBrG0LnIJrTUrosOruY3j/3cOA/V4ssM0Y5vbUu3/2obw69GJ88HWO1+Kr8tzMXnWZyvZ//tk9Y+vPeJiEYfftRrbtNpkt6v1xU5C8rR3f/8172Ld1meGBLf1P7j8Bl29sP2ppmbECO6vd2JqwD/NixyFm3EysOrMMTs9r2JBqePgsRDxSN7wGz5578OHSmRgXMw6x8/YhYasb1U/bo7grZcHk1DXY7Xwc2LQYsXJfjLM9jU+S18NZtCJwBdFuuGoYQKD+/wvL2/9R7dMdZytGz/J/kEmQTun7LUG9Jx8J+1fCNk5Z1krsT8iHZ9+TSB3kqo6Ihmd4scVIf27jV0jYm6HFiQ04s/yVobVdyyxk7XSiYvkZrEueIuvxd3i253vIt1u1ApJS5rUKeLYnYP9im4xpX4Nt8X4kbH8H+zYsiuLOzcAsM7LwWn0ttifsx2Lb12QdbFi8PwHb9W0hl79i6x449Toq56fYDOw1xKnhbU+9+0e+DXb7aKJY58AyP8AGFKvL7BtfaaTECKXTzeSUA3MUVHN0UP7QnS0fcB5CWdad2kSiWxNjSySfwpWbjmzsgLcsC4aUheiGi9Qmeck8Zml/fdG2BqXHem+Xul7ajXLrg3h48fTANCK6RfnRWbUZNuWvvJYGuo/ULn/Xb7Cr/OvIezgVjBJkBkxUxqw7YH9qN5wbrmHLPP126RLswk/grt6GrBmGvzdARLcgC+Ls6/GeMxfYkqJ2H6ld/rt6sNrtxM6sWTxBkCmw64eIblmMLUTmwq4fIiIiGlWYqBAREZFpMVEhIiIi02KiQkRERKbFRIWIiIhMi4kKERERmRYTFSIiIjItJipERERkWkxUiIiIyLSYqBAREZFpMVEhIiIi02KiQkRERKY1av6nhERERHRrMKYmoyJRISIiolsTu36IiIjItJioEBERkWkxUSEiIiLTYqJCREREpsVEhYiIiEyLiQoRERGZFPD/AwVHUYGT3TcYAAAAAElFTkSuQmCC"></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">
<p>Another question with a low discrimination index and candidates choosing all 4 responses with B the most popular. Remembering that angular separation is dependent on the stars position in space relative to each other so unlikely to have been changed by a coloured filter would have helped to eliminate A and D.</p>
</div>
<br><hr><br><div class="question">
<p><span style="background-color: #ffffff;">Sea waves move towards a beach at a constant speed of 2.0 m s<sup>–1</sup>. They arrive at the beach with a frequency of 0.10 Hz. A girl on a surfboard is moving in the sea at right angles to the wave fronts. She observes that the surfboard crosses the wave fronts with a frequency of 0.40 Hz.</span></p>
<p style="text-align: center;"><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 speed of the surfboard and what is the direction of motion of the surfboard relative to the beach?</span></span></p>
<p> </p>
<p><img 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PWPNfGgq16tu+vdXN0imY/bFuq9VV/DyDnP/PgPc3U+92whVnVOUY7pL5cBBaX+Ydtx68A/1mO1qXsKD4I2N50kXod/sZKG8t9KxJkd/hVQt24eFT+C5hbY3nvpboVLN7+y6tbb6n/MvJFosOxMon/QP2pFwzavUp+q/HGjC8p/0VQl9aofbivaiP1vlmO0Tw1EQzN7Vs6yB8lsebSqv3Nfrsgbrh1mYP0aqIlzjv2d8ck9gl8ryq78ca66vl5hy9SjLmftm2uV/81ylmFk9VlP3bTpX/Klyrpy+6iyqtrwCDkLooE7Y/nVBDQnqfRP2vz5J62zHxyyk8NXmqtZBxMY3DF4sC/bVe9MpzDXcOe1lwi27XAi5Z/A5vdm8OWfVGafrZ/X5mu2vZHK5ruBC31HmzlNi+tppjD3smUC0PqZZyO8uL48uNVxdT1nPtav6qUPWz4yo2KQfKTVXN1xVg3URTIw9TSzPCyYts8p+ssVzVfqvqo4p/rukGeKioHErSUZ0TCl68UDpXYy4HbmdtfCtrDB7VhV1+LMLv6qFg3MRc0K2HepZS+ZeTPRwH3rmTYbJbC5/9hLEXysrk9ZvoXCTzKbmC77Wgj8oi3Yf8+0o51j1MwK/zQ299lmMw2yPa6/qrqTs0yMcjw6vlt9uWgPIW9s2eG45jrz+2Jw2z8+lW9C2SZGQ7q5z2ejip8B5/LdelXYMvWoyVkcc9x2jXJtk/7FjGraa6saRa4x7WN4HDtn5YVLsYuZhmVEk2wq005a3FmlOxFOPtwxHNGgfkEtjimOrV+yNDvT2a4dtIId01HVEgULGCsgzAAj+GfKcnucUDYHjZsA2T7fJbimpGBmW/bU59Z57IPg99ZAyIUyH+aeH+cklA/Ueoq9pNiLMorBRk0HfqFYtY815cyfc3I3AckuWK98TkkgMK/Ku0OdICp58kyEZz36WNSp8EdmkU2RL2+KJZVsiekDxbH9y6lWJVr+U0o8xgW+S+W2C2Y0jz+VfumRmXM7Zde6zLn/uX25VjTU9SlmbcVdVjD3YVsAqunyTxTHH61lvsI2+1+0ozJUYd+tlwFV/CHbY7+Kfu/ORBAzKsVofUyIA7dgh+Mxq2Mpf6lFpqIvFz4VfpbataimKBrkurP9QqSUzGRvmI+Ve4V6bNWX24P7p/1amWu5bYs+oFxgRnnuYH8KDgUb+7r69pF5lGvP5+yXs3IbUuxCNGjRUO64dQ3KSYQ7BosGnupXa3UfKFY/qcud0nQutmt1XJM82E7WvfQ64Sua3X2h+dS3ZjisAcbuwPz3VtLkDiSUzf6513CgVA5yNbZKCck9j99LgcJc2V9+Zc52ILkByElDsst3sTyNN6XZPM4GJQ4mbnt+X07u7Ef+yufsFYA6idbZNTMNpq8UdWL/ioGmzMJ4yILVEkSeWZ4xZ7X+h5R4yk7woGsJbWvpSWK+dYz7suHHJUj9Rzrm9ik+x+2X3Ie1aGDRk4kdJdIezR6cSP8ENftatKPyrcI+x16lALX2NERL4mewisFOigFdB2ZkYnR3TBR2rZy1ZUfVR892+dd0d/+BpqUbsaIvFwNj4Wd1XDDromxmWb6G7bcsGty8yV3OtG05TpuLBu5zu9tH5mEcyf7gc/bKWdqEFLsQDaJo4IAupq3KzaDe8Tk82PMUMU83PVGyeJvf/ZlExkFg36W4dnRJetrJDwK6LAWg9dvuPk+Rb3u3fUQqu/A533BnL0/Ya2uuNcGWmEj4PA56rmsdV7csvsaaxhWWJzgwiqlex447jWfZMMncnMNcWQgW+zK4nL0CMLPL/cTxi9/yYGH6CidC3jCrTmQW5WTEJkqvfLdXOYNTOvukb6TEU10gT9sW9TbJlgWQ1XamHbj/GX5cgsSMj9X1qR3LE5kvz8UmwKuYHlK1j/aOrgPf7I1SXnCfMf0sc62op+mzaUL3N3rT296igetUE1vMiEWD6e96atviWvjKMWzlLNdOVh/mNaEgeEWesyzIDExduXlqX4Wyjc/S8kSxjr9tVrAl1oPP0zmLz9kr13Jb1PUvPqemvUxda9rHnHPknKUBSrEL0SCKBms/At/B8ysnLpPAeTDgAbhQ0CpwgmBizRKUz8kDkzsP2+Hubp9rBWz2cbG2VVbudQO9bY8TsjUocv34NXhLi8qd94ItDi5OSJmfTgDa+zy4HH41XLn+/Mp8bK78t8WlaqMV37FycHF56lVvZizuWljZs31+LZIRJz8zWCk3ecCvSPT5NZavXDX7lW2YQW8f0VBuj1KfqORqF37av6XEk5fIAw1ztl8L5iS1HbcjM+f+Z/hxnbj/2EKLj9nl8d9WO/EsApdlXnnfieS/T5fBZWkvDfeZYiDWvjWpF1fDeq2yZ/ZQGT91nbgPMCOOUan8rZgo962sDq4d9s22585S7opPtlF6Fcq29/qU6mntTynZ4DeCLbEebs56Sa5t1r92tpfNk+u61T6nyVlMTYpdiIYK0bD9KJX7iBB3DGuw36yKRw19pYT/l1bZhkpOgCltVrcUZrvueYAX7OgWM3dYbgBmnzuPAXlTmt3eU8LPqXGrm1epbPWhWjPb55FLfY1bj0YByOXZj6i5XI3D+g/mE9C7+J90w4/AOo9CZieXHunyyCudo+rJj0iqO4D3dP/w3/nSDyfVzL3tRy7naqlJe8MJu7lo0HeUW4OZNsgvB4kGNQmxptKjgTsfneWCT/8qJZ6iVPfxObfd1JnWb2SoWTfVdsu/lx9N5P63xbnoP7xcYM/YNOlTJa6lPqV8sx6HVY+53vxKD6s5Ta1d8NxntkSD+/ixejx5n0cuS8sTyhfVx2tiixmxaMjO3xUTQt7YssOtybMnFcsEtfHJNuxXoezsY7fP7Mp96iLBllgPVzSoa/fNtUWfq+9fO9qrUfuoqh07ZxVtIMXu6EVDgQd/gQAInIKAlHhOUQ5sggAIHJeAFLsQDcdlDGsgAAIOASnxOKfgLQiAQA8JSLEL0dDDhoJLIHBOBKTEc071Q11A4FwJSLEL0XCurY16gUBPCEiJpyeuwQ0QAIEaAlLsQjTUAMNHIAAChxOQEs/hVmEBBEDg1ASk2B2UaFAVwH8wQB9AH0AfQB9AH2inD7jCZFCiwXUe70EABPpPQCV3/AMBEBgeASl2BxPNkvPDawJ4DALjI4DYHV+bo8bnQUCKXYiG82hb1AIEektASjy9dRaOgQAIGAJS7EI0GDz4AwRA4BQEpMRzinJgEwRA4LgEpNiFaDguY1gDARBwCEiJxzkFb0EABHpIQIpdiIYeNhRcAoFzIiAlnnOqH+oCAudKQIpdiIZzbW3UCwR6QkBKPD1xDW6AAAjUEJBiF6KhBhg+AgEQOJyAlHgOtwoLIAACpyYgxS5Ew6mpwz4IjJyAlHhGjgTVB4FBEJBiF6JhEE0HJ0FguASkxDPc2sBzEBgPASl2IRrG0/6oKQh0QkBKPJ04gkJBAAT2IiDFLkTDXghxMgiAwL4EpMSzrw2cDwIg0D4BKXYhGtpvB5QIAqMiICWeUQFAZUFgoASk2IVoGGhjwm0QGAoBKfEMxXf4CQJjJiDFboVo+E7r+Y/Zz1D7swU99oCa5HwP3IILOwmktFnHNAt8/bPmU5rd3lOSVl2ozv9MUXhhfgbdDyOKlwlVXlJlCsd7QQCxW9UMT5QsF7RMnqpO6MnxZ0rin8jzfqI4eX6BT79THE7IC2NKXnD1cS45tA7H8WJoVqTYlUVDuqL5dEKXwSX5/jUtHrtP15LzQ2uAMfqbPsR05U/pevFAKT1RsnhLgXdBV/FvsgjI+p5Pfvie7lUyTR9ocT0lryf9cIxteGidEbsywedlRBMvoGi5kU/ozdFDB1yIht405Z6OSLErioZ0Paep9yN9iP9K07oEv6cDh5wuOX+IPVzbBoE/aDF7Rd50TmujO/WxiruOvO+VE2l+7BXNFn+04TTKODIBxK4MFKJB5nKao4cKn9N41XerUuwKokEn9eCGlo//Q/Op7yT9bqopOd+NJyi1MYHnJUUTn6bzlTyrsGUopcfFNfnuNOjedrYM40CHBBC72/BzweCZJbhJtCQ18Z8m93Q7m5rj9tLctnjeFuWlc9KElnFEoV+U4wUzujVLffkMgP86pNfZORyrj7S+uymuC36mKPOJlyecz70LCqPPtN6YOwOnwnqmIXhDM7Ps6C5TqqWa2FqW9CmY/VJaukmTJcVRSL7H9dk+hzZrurPO8cMbulurBXYWDVOaRT9TwDaCa4qzzx2X8TYjIMXutmh4XNDM587zRA/xG/K9H2m+/t4pRsn5Th1C4bsJZH1pQq+jv1uJ0E0WthkObE5O+rNMNHjEidW+An/3nwBiV26jrZmGzT1Fgb00l9D9jRokf6Bo+Y2olJtJv1cDKMeL3ouWLeX9me9L869ovsp3paXJr3SjBm2z1KcHc20/Tb7Sv5PvtFneUOBNaRavaKOWFO/fawGhynnSwp6XHFParG4pNGOGVFcu54LC+VfLJo8zqS6TPyeizVeaK1/VzasSI2bZ8pZWmTgp/DL77tLfKL5S9XtD8cNTYSOr75Pel+GRH2obXEZpJlTyf7zHpNh1RAPf6Vkiwe2oHfGTnO/IFRTblEASU6gUvR/SzX2+kTFN7ug6mFTMPkA0NEU7pPMQu3JrlUWDkHvVZTxYZhvSyzML2fX+JQWXl3rpLv/cDKJbxfIGdxYZejAvDZrlMnIT+lgmTr7rwVcLma0ypANSOdqXSUTLZ6lMotKsiWRWs+ENlvn5LETcCzi3WGObmX1gHu41eC/FriMapMaTjrUPU3K+fS9Q4l4EMtHgBrGdLFxrHNhOEGOmwQU1qPeIXbm5yqJhQ8soIC8bRO3z7fxrC4tv2UyCP4vpLgooEwrZDV5574+a0v8UxxTHH2lulj04vvRgbu8vEmPNiUu+Q9c3BNHHmD6ZJQ/bd/47L6c8U2jZfPiaL4PzkkHpdUJh/Ls2pJYw/klxVp8PxRNZ2v+cp30+l69erfLMEyDSMfsa/C3Fbkk05Dvdeb3IfS13xrZxSs637QPK25NAloDcINaBaqZIyzbzwOekpj/L7Ljio3wd3vWXAGJXbptmosG5S2dhcPeF5lM1w/CffLlg8o7uPqv9QHwnzU8qqXX/D/lAu/hvWmaP0nN8vVA0ZNVRj0Z/oTj+u96H4FNwfVfxKHUz0VA9Q6JmXPRTVGrZZP6R4vgTLVb/ysUGRIPcwY5wVIpdSzTw1BV3OqvErKN6uZq1Drf5p+R8m+WjrJcQUHdJlxRE91Q8VKb7WWlKtLAtTklmMxbditbCQ/y1LwHErkysLBrsWQRr/1hpecJarggCumSBoIVEEEyKTevudZkLetbC7IEQRAPZMxvsN48NLDb4OL/u+twRPtll32gZ/aBnVnSZFTcS6nQxL+hxab/lCbsOmGngFqx6lWK3EA1iJ2NTuxuVzzzVq+T8qcqC3WMR0BucSpux1J6GVw2+p0FvVuI7jJqEcixvYec0BBC7FVxdMbxrI2RmhgdorxAIpAdlz56N0zk7eEuL7MujHmkdX+unBnjglESDuymx2HCYb7j8M98cb+1TMpsWK24EyPjnbq7k72vhMq3ZipQ3geqb2EwgWJ9vVhTzcgsvr7gbITl3ZOJqI3xBFURDRc80h6XYNaJBVHLmUlfp6c62tf5mXXDkPyXnj1wEzJ2EgFqH/KVYfzS7snVherNksd7pfoOkR+XHxE7iJIyekABitwKuGdQ8MnfLNY9cspXtDX8sJMqzxOZpiWyPQL5M8TF7HJFn7STRoEpxYtZ95FI9ynk7Kx5b9IRHH9nZ7DUvxw/f0jv7kcvs6Qw+0SnTU0852N8Ea4sXtXSulil+yZdG7BsK55HLIndIAkE6xv7gVRGQYteIhr4jkpzvu8/wDwRAQE484AICINB/AtK4C9HQ/3aDhyAwaAJS4hl0heA8CIyEgBS7EA0jaXxUEwS6IiAlnq58QbkgAALNCUixC9HQnB/OBAEQeAEBKfG8wAwuAbQw40AAABywSURBVAEQaJmAFLsQDS03AooDgbERkBLP2BigviAwRAJS7EI0DLEl4TMIDIiAlHgG5D5cBYHREpBiF6JhtN0BFQeBdghIiaedklEKCIDAIQSk2IVoOIQorgUBENhJQEo8Oy/CCSAAAp0TkGIXoqHzZoEDIHDeBKTEc941Ru1A4DwISLEL0XAebYtagEBvCUiJp7fOwjEQAAFDQIpdiAaDB3+AAAicgoCUeE5RDmyCAAgcl4AUuxANx2UMayAAAg4BKfE4p+AtCIBADwlIsQvR0MOGgksgcE4EpMRzTvVDXUDgXAlIsQvRcK6tjXqBQE8ISImnJ67BDRAAgRoCUuwOSjSoCuA/GKAPoA+gD6APoA+00wdcTTEo0eA6j/cgAAL9J6CSO/6BAAgMj4AUu4OJZsn54TUBPAaB8RFA7I6vzVHj8yAgxS5Ew3m0LWoBAr0lICWe3joLx0AABAwBKXYhGgwe/AECIHAKAlLiOUU5sAkCIHBcAlLsQjQclzGsgQAIOASkxOOcgrcgAAI9JCDFLkRDDxsKLoHAORGQEs851Q91AYFzJSDFLkTDubY26gUCPSEgJZ6euAY3QAAEaghIsQvRUAMMH4EACBxOQEo8h1uFBRAAgVMTkGIXouHU1GEfBEZOQEo8I0eC6oPAIAhIsQvRMIimg5MgMFwCUuIZbm3gOQiMh4AUuxAN42l/1BQEOiEgJZ5OHEGhIAACexGQYheiYS+EOBkEQGBfAlLi2dcGzgcBEGifgBS7EA3ttwNKBIFREZASz6gAoLIgMFACUuxCNAy0MeE2CAyFgJR4huI7/ASBMROQYrckGp6XEU2En5/2w4jiZUJph/Qk5zt0B0U3JpDSZh3TLPD1z5pPaXZ7T0llZ1Lnf6YovDA/g96H/te4ujhxiwBidwtJTw480mp+RX6W81/RbPFHR349UxL/RJ73E8XJc0c+qGJ/pzickBfGlHToRZ+KlmJXEA0BRctN4Xf6QIvrKXn+G4ofnorjLf8lOd+yCyjuBQTSh5iu/CldLx4opSdKFm8p8C7oKv5NFqHpiuZTn/zwPd0nT0Sm/13T4rFSabzAM1zSFgHEbluk9ywniSn0fJrOV3Is7mnu5adDNLyc3WmvlGJ3t2ggonQ9p6k3oTD+/bQe1liXnK85HR/1gsAftJi9Im86p7UZ7/WxCjWf97WycM2PdXkn1AuYg3UCsdvTpstEQ7d5PScD0dDTHpLN9rq+7SEauk3aSDxu0w3g/fOSosk+dzIpPS6uyXenKfe2MwA2I3JxnLH7RMkyLi2zeV6xNLcthLcFdvmcOnscNz9QtPxm9axtm/zh1lL0JKLl72rm4YJeh3/RSxY/0nz9ndLknm5n04rlQj3g+yFFH2YU6OVtNVP4r+WCbswy45Rm8YqsOWx2hYhYNEzp59lrXbZPwewXWqrZRv6XJrSMIwp9r2Kps46RMeIsf15QGH2m9Ubd1ejlieBnikx9lR+x/pxtjOdVit3doiGbHv6Bguu7mnXo00OUnD99qSjhIAKPC5r5E3od/d1KOkXi3LbNycNZ28xEg0eTaEldrnhu+4sjTQiMMXbzAf+CwvnXfKBME7q/Ccn39M1XFhuWoM7eq8GQ+/53Ws9/JM/Pl+Wa2fPIny3okRvFLYOP86s705C998gLbmi5+U7Jv79S8nhPUWAvF3I9WKBwzPLg+kyb1a0e2HlZ8hstox/I83IRwsUXr2zDIz+8pdUmpTT5NRccZpZS2/CvaL5SNUx1OT4F0X3GeCcjdVW2XOqRfxXTQ8o2mJsWDR63G39utVPh9Cj+kmJXEA2s4sqv3JhdkZKc78oXlNuQACchP6Sb+3wjbZrc0XUwqVhH5eTBiVOXA9HQEHg/T0Ps5u2SD2q8HFCeBcju/P1LCi4v9YbE/POSCHCat2yvLDLUoJrP2lUN1EQkigZ7gKywwfuOMoHCMWuVoz+3NxTmMxvlZceiOoINsyyurxEFkFvnwiL/JTKqFC9aNBihoqyMe3OkFLuCaHAb9pHW8XU27VTXgbmRTvUqOX+qsmD3SASypGQnIWVXB7qaDt2aNuDkAdFwpBbohZnRxq6aTv8UUxzHFM956p5Fgz0gf8tmFfxZTHdRkM8WZIOksyRca4/3nnG8lUWJ2BFE0cD+qSs2tIwC8rZi1bYtxWw+0Nozg41Eg1uO5V8++JdvZFW/yv9b+aKWka6Pmc1xqUgCQTrmXne+76XYbSAaFBDdSdxGbZGV5HyLxaOolxDIZgjsJKSM6CSjp11ds3lysZJAdsm+eyNcq3jfJYExxm4+o+aTF8xorkRD/IVWyw/lDeUsDO6+0HyqZhj+k88OTN7R3We1t6e4e29kj/O0ulP+ppYGWUBUtL41KGdnuO8rRYMeSLM78jZFgyOinGrtZgTR4CDb+VaK3f1EQ2naZmd5Rz1Bcv6oBcDYCQgosXlp1hzzAvRMQ0Vfyu8onOSQJTPn2Am8hcnTEBhf7ErT5jyzYIlonuYPArpkgaCFRBBMrKeOGtozSxK8mbEQHWLLuiLBfW/sOXbY79LyhC30XzjTwAwyZ1PaLG8o8OzlCd57INWmCSN9Tqkc25Y0qyAds68577+l2G0gGho8W98CN8n5FopFEQcR0IFvNi8R5XcDrxp8T0O+IQrf03BQA/Ti4vHFLgsE3ghof8GZJRp4qU5NsxsRrQep0vcnNLWnVhTyjYuKeWGzohu4IsF9ry7T9orvTanaCHkM0cCbKYuNkPmGReUIb6ZkpiqX2JslmzEqb4TkfORrVpJAkI5V8DzDw1LsCqKB14msVzXFtlhbj8tokC0uV0jOn2EbnWGV1GNQv5S/EdJ+9CpLVPaTEXaC1X0wmNFtx99IeoYN01qVRhm75mmJog/PP+aPC9p7w/KZNXsZoeJuuKE9s2eoJDoqmtoVCe57fVmjRy5L+wTy8WHvPQ1+SO/eqSdMFLNCQBjv1X6FW94bos5Rj0vGxWOZjRi53ziryuFHOyWBIB0zHp39H1LslkRDnwlIzvfZX/gGAiCQE0DsttkT+I7bWVJo0wWUdTYEpNiFaDib5kVFQKCfBKTE009Pz8ArXk6wv6/hDKqFKnRDQIpdiIZu2gKlgsBoCEiJZzSVb62i/BSD+oIk/bstrZWNgs6VgBS7EA3n2tqoFwj0hICUeHriGtwAARCoISDFLkRDDTB8BAIgcDgBKfEcbhUWQAAETk1Ail2IhlNTh30QGDkBKfGMHAmqDwKDICDFLkTDIJoOToLAcAlIiWe4tYHnIDAeAlLsQjSMp/1RUxDohICUeDpxBIWCAAjsRUCKXYiGvRDiZBAAgX0JSIlnXxs4HwRAoH0CUuxCNLTfDigRBEZFQEo8owKAyoLAQAlIsQvRMNDGhNsgMBQCUuIZiu/wEwTGTECKXYiGMfcI1B0EWiAgJZ4WikURIAACBxKQYhei4UCouBwEQKCegJR46q/ApyAAAn0gIMUuREMfWgY+gMAZE5ASzxlXF1UDgbMhIMXuoESDqgD+gwH6APoA+gD6APpAO33AVUCDEg2u83gPAiDQfwIqueMfCIDA8AhIsTuYaJacH14TwGMQGB8BxO742hw1Pg8CUuxCNJxH26IWINBbAlLi6a2zcAwEQMAQkGIXosHgwR8gAAKnICAlnlOUA5sgAALHJSDFLkTDcRnDGgiAgENASjzOKXgLAiDQQwJS7EI09LCh4BIInBMBKfGcU/1QFxA4VwJS7EI0nGtro14g0BMCUuLpiWtwAwRAoIaAFLsQDTXA8BEIgMDhBKTEc7hVWAABEDg1ASl2IRpOTR32QWDkBKTEM3IkqD4IDIKAFLsQDYNoOjgJAsMlICWe4dYGnoPAeAhIsQvRMJ72R01BoBMCUuLpxBEUCgIgsBcBKXYhGvZCiJNBAAT2JSAlnn1t4HwQAIH2CUixC9HQfjugRBAYFQEp8YwKACoLAgMlIMUuRMNAGxNug8BQCEiJZyi+w08QGDMBKXYF0ZDSZv2FPkYh+eanqC8ojGJaJk+d8ZOc78wZFPwCAk+ULN5SMIlo+Vx/+fMyoonpe/zzrwFFy039hfi0lwQQu1XN8kTJctFpXq3yrHz8mZL4J/K8nyhOdgRv+UL97neKwwl5YUyJ+HkbBw+tQxs+9q8MKXYd0ZDSZnlDgadEwmdab1IiUiLiM0XhBXnBDS2zY+1XTnK+fS9Q4ssIPFFy/55C3yNvp2jQwe1f0+JR9T/8GzoBxK7cgrk4HoIYPnTAhWiQe0D/j0qxWxYNm3uKggkF0T2593TpQ0xXvk/T+Yq6SOWS8/1HDg9ps6a7KKRJ+I4+zKYNRMOGllFA3nRO6y46Gprs6AQQuzJSiAaZy2mOHip8TuNV361KsWuJhpQeF9fkez/SfP1dqMsjrZf/f0tMCCee5JDk/EkKgtHjEkhiugpvabV5yqc4d800pCuaT33yZwt6PK4nsNYRAcTuNnh3CW4SLUlN/KfJPd0qca2X5/wwoniZZDdq6XpOU+8VzRZ/aIN/0GL2qiSwS+ekCS3jKJ/h4+W+YEa32h5RPgPgvw7ptZoF9Pim8JHWdzfFdcHPFGU+8fKE83lpZnq7rlyOF7yhmZqxznyZ0uz2nhJzY6CWauJ8Rjv73Kdg9ktp6SZNlhSXls23z+GbFF5a98MbulurTMKiYUqz6GcKDI9rirPPJb9xTIpdSzToO7xdSb0jjpLzHbmCYl9EQAftrv71uKCZ75EfBHRpAttOdC8qHBd1SACxK8PfmmnIZnp98sP3dK/2j6UJ3d+ovWU/ULT8RpTFBg/spN+rwZ4H8++0nv9IXra096f++4rmq1x+p8mvdKMGbbP0p5cNtP00+Ur/Tr7rJeopzeIVbchaWszKedI3l1O6XjxQqpavV7cU1s5CczkXFM6/Wja5LtayePY5EW2+0txeEuebiewGRCmNwi9zg5H+RvGVqt8bih+eChtZffVNi+eRzza4DMxqyh2UKBN47ocQDS4RvD8RgWaiIb9T8q0lMk5KOnGeyDuYPR0BiAaZbVk0VMz08mCZzbyVZxay6/1LCi4v9exD/rkZRLeK1aLCiAw9mJcGzXIZuQl9LLvuu94UuU88SuVoX7KbCKlMotKsyVZd1LRMPivJGyw5d8hL6DzTYM+k8zEWXVIh4z4mxa4lGuxG7B8oyfn+eQmPqgk0Ew3i9aXEKZ6Bgz0mgNiVG6csGqpmeu0B1RYW37KZBH8W010U5Mt52UyEvXyhJiuW9CmOKY4/0twse/AgqQdz+6mG5yVFE494uST33Blc+Q5dzQT6IUUfY/pkljykuublVNp8+JotSap+sv1/QmH8uzaqljD+SXFWnw80C/z8fO1/ztM+3/bFqUP2kXTMvgZ/S7FriQa7Q0p7Gja0vJlRFC+tdaj2oErOt1c6SjqcwAGiQa+98h3F4b7AQpsEELsy7WaiwblLZ2Fw94XmUzXD8J98uWDyju4+23vS9CPOnlr3/5APtIv/pqVavnBnGvYVDVl18kfz4/jveh+CT8H1XcXY0Ew0VM+QqFmFB1pcq70eU5rNP1Icf6LF6l+52IBokDvYEY5KsWuJBrWOVP30RL6e5nW2QU1y/ghMYKI1Ak1EQ4VwzWYaJp09udMaojMtCLErN2xZNNT1fWtjMM+6ZXt+9FS7FhJBMCk2RfJ5pQ3F9jKD2nYpzDSQPbPBfrvLGnycX3d97gif7LJvtIx+0E9T6TLNXgu2W7yKSxVZvT3im4lmyxM8y6JsY6ahICz/JcVuWTSoTS2139PwlhYdfcGT5LxcTRztJ4EmokESrvqOiTc39bNy8KqGAGK3Ak4SU2g/DbFrI2RmhgdorxAIPPibpx/UiXogDjhnP9I6vtZPDfDAKYkGawwobVrkDZd/0kP8hnw/pJv7/KkOs2mxtDfCrrMuR80SlDZXXtBV/Fu+mTIbd6zZCrMJ1BZG1uebFcW83MIzJe5GSDM7oWxshC+ogmiwW0n6W4pdRzSoy9S008Ja/1KdRfhGyKzDu2tfUrHHOSY5fxzLsNIOgQrRIPSj7cfO+LGpdjxFKcclgNit4GkGNetuueaRS7ayfUfNQsLe5Kf2M+inJbK9AvkyRf5Nv7zvQRINqhS1d+CXYs+A+8ilepTzdlY8tpgtgZQfj2Rf89e8HD98S+/sRy4zAcFnOmVmTzkUj5vaT0uo/pQvU/ySL43YMxT6e2H4kUvPPGIqCQTpGPuDV0VAil1BNPQTluR8Pz2FVyAAAjYBxK5NA3+DwHAISLEL0TCc9oOnIDBIAlLiGWRF4DQIjIyAFLsQDSPrBKguCLRNQEo8bfuA8kAABPYnIMUuRMP+HHEFCIDAHgSkxLPH5TgVBECgIwJS7EI0dNQYKBYExkJASjxjqTvqCQJDJiDFLkTDkFsUvoPAAAhIiWcAbsNFEBg9ASl2IRpG3y0AAAROS0BKPKctEdZBAASOQUCKXYiGY5CFDRAAgUoCUuKpPBkfgAAI9IaAFLsQDb1pHjgCAudJQEo851lT1AoEzouAFLsQDefVxqgNCPSOgJR4euckHAIBENgiIMUuRMMWJhwAARA4JgEp8RzTPmyBAAichoAUuxANp2ENqyAAApqAlHgABwRAoP8EpNiFaOh/u8FDEBg0ASnxDLpCcB4ERkJAil2IhpE0PqoJAl0RkBJPV76gXBAAgeYEpNgdlGhQFcB/MEAfQB9AH0AfQB9opw+4EmNQosF1Hu9BAAT6T0Ald/wDARAYHgEpdgcTzZLzw2sCeAwC4yOA2B1fm6PG50FAil2IhvNoW9QCBHpLQEo8vXUWjoEACBgCUuxCNBg8+AMEQOAUBKTEc4pyYBMEQOC4BKTYhWg4LmNYAwEQcAhIicc5BW9BAAR6SECKXYiGHjYUXAKBcyIgJZ5zqh/qAgLnSkCKXYiGc21t1AsEekJASjw9cQ1ugAAI1BCQYheioQYYPgIBEDicgJR4DrcKCyAAAqcmIMUuRMOpqcM+CIycgJR4Ro4E1QeBQRCQYheiYRBNBydBYLgEpMQz3NrAcxAYDwEpdiEaxtP+qCkIdEJASjydOIJCQQAE9iIgxS5Ew14IcTIIgMC+BKTEs68NnA8CINA+ASl2IRrabweUCAKjIiAlnlEBQGVBYKAEpNiFaBhoY8JtEBgKASnxDMV3+AkCYyYgxW5JNDwvI5pIPz8dzGi+WNOmQ3qS8x26g6L3JvBEyeItBZOIls/1F8v9MKBo2WUPrPcZn1YTQOxWs+n2k0daza/Iz3L+K5ot/ujInWdK4p/I836iONmRHE7q4e8UhxPywpiSk5YzHONS7AqiwU3Oj7S+u6HQ9ymI7jsTDpLzw0E/dk+fKLl/T6HvkbdTNOgE4l/T4jEdO7izqD9it6fNmMQUej5N5yvqNtIgGnraQ0iK3QaiQVXniR7iN+R7P9J8/b2T+knOd+IICt2PwGZNd1FIk/AdfZhNG4iGDS2jgLzpnNbdZrL96omzKwkgdivRdPtBJhomFMa/d+sHQTR03ACVxUux21A0ENHjgmZ+d6pUcr6ypvigPwSSmK7CW1ptnvIpyF0zDemK5lOf/NmCHvtTC3hyAIFxxu4TJcuYovAiu1tTDDxvSrPbe0pSonQ9p6lnLwn8QYvZq5JYLp9TZy+lx8U1+d4PFC2/WS21bZM/3FoCVHH5u5p5uKDX4V/0kkV+k5gm93SrBL9euvbDiOJlomcneGYwpOjDjAJzznv613JBN6b+U5rFq4qZahYNU/p59lqX7VMw+4WWyRO7TJQmtIyjfMbS4ZmfVMeIzaS0WX+22uWCwugzrTfqDkUvTwQ/U2Tqq/yI9edsYzyvUuw2Fw0dJ3PJ+fE03TnUVCeGXaIhE6ce+UFAlzoBecGMbk2SOgcW46rDGGM3H/AvKJx/zQfKNKH7m5B8FgruTZju98W6/ndaz38kTy/TNbPnlcW2W4bb7dyZhuy9R15wQ8vNd0r+/ZWSx3uKAp/88D3dqwHc1IMFCg/4PLg+02Z1qwf2KV0vHiilb7SMfiCvcqaabXjkZzcYKaXJr7ngMDOO2oZ/RfOVup1IdTnFsvlORuqqh5iufI/8q5geUrbB3LRo8Ljd+PPubpbdJmv7vRS7zUUDq7CONolIzrcNEOUdQqCZaMgDv0gERXLgJHWID7i2CwKI3Zx63rd5OaA8C5Dd+fuXFFxe6g2J+ed1M25le2WRoeImn32oWVIWRYM9QFbYKN1A8oBvlaM/tzcU5jMb7n457o2CDTXAZ7Mx+hpRALl1ZnvFq8ioUrxo0WCEirIz7s2RUuw2Fw2ljlI0Slt/Sc63VTbKOQaBZqJBLKnjvif6hIONCYw2dtV0+qeY4jimeM5T9ywa7AH5Wzar4M9iuouCfLYgGyTt5Qs1itbZ40GWB/2yKBEbSxQN7J+6Qu8v2podtG3zgG8/+ZAPtJNoSfwsRCPR4JZj+ZcP/mqJR/pvlV3LSNen8ikNSSBIx0SaZ3lQit3mokFUeu1xkpxvr3SUdDiBA0TDyNX+4ey7tTDG2E2TO7oOfFJLa3MlGuIvtFp+oKlnDcosDO6+0HyqZhj+k88OTN7R3We1R6G4e29kj6zB/FuDPWjWoJz1EPd9pWjQA2l2R96maHBElNOtdzOCaHCQ7XwrxW5D0YCnJ3bSxQk7CDQRDfbdl/WUTjbTMOnBo2E7qoiPRQJS4hFPPJuD0rQ5921LNPAMWrZ/RwsELSSCYGJtimxozyxJ8GbGQnSIaF2R4L439hw77He2WfmIosESSdmy5PKGAs9enuC9B1JtmjDS55TKsW1JswrSMfua8/5bit0GooG/p4E3h3QDSXK+G09Q6ssINBENakZUbbyaWN8Jor8Uyn9D8YO1k/plTuCqDgiML3ZZIPBGQLVjP6aZmnmwZxqIBzHPEgh6kCp9f0JTexw/qhzbZkWjuyLBfa8uy+KxyUZIa4lAzwzuvTzh8WbKYiNkvmFROcKbKZmpWq2xN0s2Y1TeCKls6BmhbNZEEgjSsQqeZ3hYil1BNAhrRtI3QmYdzCO7Y5ySmeT8KcuD7WMTqBANQj/afsTrhu7WeADz2C3Slr1Rxq55ykDnU5VDP+aPC9qbG/O1et6HoFqEhYR7d89PX9TbK663bVa0tCsS3Pf6su14FB65LO0TyAdae2xotKfBD+ndO/WEiapjISCM92q/wi3vDVHnqMcl4+KxzEbM3UcuVTn8aKckEKRjxqOz/0OK3ZJo6DMByfk++wvfQAAEcgKI3TZ7At9xO6KjTRdQ1tkQkGIXouFsmhcVAYF+EpASTz89PQOveDkBX452Bo3ZfRWk2IVo6L5d4AEInDUBKfGcdYU7qRxvSFRfkKS/iKkTP1DoORGQYhei4ZxaGHUBgR4SkBJPD92ESyAAAg4BKXYhGhxIeAsCIHBcAlLiOW4JsAYCIHAKAlLsQjScgjRsggAIGAJS4jEf4g8QAIHeEpBiF6Kht80Fx0DgPAhIiec8aoZagMB5E5BiF6LhvNsctQOBzglIiadzp+AACIDATgJS7EI07MSGE0AABA4hICWeQ+zhWhAAgXYISLEL0dAOe5QCAqMlICWe0cJAxUFgQASk2IVoGFADwlUQGCIBKfEMsR7wGQTGRkCKXYiGsfUC1BcEWiYgJZ6WXUBxIAACLyAgxS5EwwtA4hIQAIHmBKTE0/xqnAkCINAVASl2IRq6ag2UCwIjISAlnpFUHdUEgUETkGJ3UKJBVQD/wQB9AH0AfQB9AH2gnT7gqp7BiAbXcbwHARAAARAAARBolwBEQ7u8URoIgAAIgAAIDJYARMNgmw6OgwAIgAAIgEC7BP4P2eDnmGFbZ5MAAAAASUVORK5CYII="></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;">An object at the end of a spring oscillates vertically with simple harmonic motion (shm). The graph shows the variation with time <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="t">
  <mi>t</mi>
</math></span> of the displacement <span style="display:inline !important;float:none;background-color:#ffffff;color:#000000;font-family:Verdana , Arial , Helvetica , sans-serif;font-size:14px;font-style:normal;font-variant:normal;font-weight:400;letter-spacing:normal;text-align:left;text-decoration:none;text-indent:0px;white-space:normal;"><span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="x">
  <mi>x</mi>
</math></span></span> of the object.</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 velocity of the object?</span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">A.&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" - \frac{{2\pi A}}{T}\sin \left( {\frac{{\pi t}}{T}} \right)">
  <mo>−</mo>
  <mfrac>
    <mrow>
      <mn>2</mn>
      <mi>π</mi>
      <mi>A</mi>
    </mrow>
    <mi>T</mi>
  </mfrac>
  <mi>sin</mi>
  <mo>⁡</mo>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mrow>
          <mi>π</mi>
          <mi>t</mi>
        </mrow>
        <mi>T</mi>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span></span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">B.&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{2\pi A}}{T}\sin \left( {\frac{{\pi t}}{T}} \right)">
  <mfrac>
    <mrow>
      <mn>2</mn>
      <mi>π</mi>
      <mi>A</mi>
    </mrow>
    <mi>T</mi>
  </mfrac>
  <mi>sin</mi>
  <mo>⁡</mo>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mrow>
          <mi>π</mi>
          <mi>t</mi>
        </mrow>
        <mi>T</mi>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span></span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">C.&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext=" - \frac{{2\pi A}}{T}\cos \left( {\frac{{\pi t}}{T}} \right)">
  <mo>−</mo>
  <mfrac>
    <mrow>
      <mn>2</mn>
      <mi>π</mi>
      <mi>A</mi>
    </mrow>
    <mi>T</mi>
  </mfrac>
  <mi>cos</mi>
  <mo>⁡</mo>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mrow>
          <mi>π</mi>
          <mi>t</mi>
        </mrow>
        <mi>T</mi>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span></span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">D.&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{2\pi A}}{T}\cos \left( {\frac{{\pi t}}{T}} \right)">
  <mfrac>
    <mrow>
      <mn>2</mn>
      <mi>π</mi>
      <mi>A</mi>
    </mrow>
    <mi>T</mi>
  </mfrac>
  <mi>cos</mi>
  <mo>⁡</mo>
  <mrow>
    <mo>(</mo>
    <mrow>
      <mfrac>
        <mrow>
          <mi>π</mi>
          <mi>t</mi>
        </mrow>
        <mi>T</mi>
      </mfrac>
    </mrow>
    <mo>)</mo>
  </mrow>
</math></span></span></span>&nbsp;</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 transparent liquid film of refractive index 1.5 coats the outside of a glass lens of higher refractive index. The liquid film is used to eliminate reflection from the lens at wavelength λ in air.</p>
<p>What is the minimum thickness of the liquid film coating and the phase change at the liquid–glass interface?</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">
<p>Half of candidates (incorrectly) selected response B, suggesting that while they recognized the phase change of π, determining the minimum thickness of the thin film was challenging. The discrimination index was very low for this question.</p>
</div>
<br><hr><br><div class="question">
<p>A train travelling in a straight line emits a sound of constant frequency <em>f</em>. An observer at rest very close to the path of the train detects a sound of continuously decreasing frequency. The train is</p>
<p>A. approaching the observer at constant speed.</p>
<p>B. approaching the observer at increasing speed.</p>
<p>C. moving away from the observer at constant speed.</p>
<p>D. moving away from the observer at increasing speed.</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;">Light of wavelength <em>λ</em> is normally incident on a diffraction grating of spacing 3<em>λ</em>. What is the angle between the two second-order maxima?</span></p>
<p><span style="background-color: #ffffff;">A.  <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>sin</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mfrac><mn>2</mn><mn>3</mn></mfrac></math></span></p>
<p><span style="background-color: #ffffff;">B.  <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>sin</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mfrac><mn>4</mn><mn>3</mn></mfrac></math></span></p>
<p><span style="background-color: #ffffff;">C.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><msup><mi>sin</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup><mfrac><mn>2</mn><mn>3</mn></mfrac></math></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">D.  &gt;90° so no second orders appear</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>A stationary sound source emits waves of wavelength <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\lambda ">
  <mi>λ</mi>
</math></span> and speed <em>v</em>. The source now moves away from a stationary observer. What are the wavelength and speed of the sound as measured by the observer?</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>Monochromatic light is incident on 4 rectangular, parallel slits. The first principal maximum is observed at an angle <em>θ </em>to the direction of the incident light. The number of slits is increased to 8 each having the same width and spacing as the first 4.</p>
<p>Three statements about the first principal maximum with 8 slits are</p>
<p>     I.     the angle at which it is observed is greater than <em>θ</em></p>
<p>     II.     its intensity increases</p>
<p>     III.     its width decreases.</p>
<p>Which statements are correct?</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>The diagram shows the diffraction pattern for light passing through a single slit.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>What is</p>
<p style="text-align:left;">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mtext>wavelength&nbsp;of&nbsp;light</mtext><mtext>width&nbsp;of&nbsp;slit</mtext></mfrac></math></p>
<p>A. 0.01</p>
<p>B. 0.02</p>
<p>C. 1</p>
<p>D. 2</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>An ambulance siren emits a sound of frequency 1200 Hz. The speed of sound in air is 330 m s<sup>–1</sup>. The ambulance moves towards a stationary observer at a constant speed of 40 m s<sup>–1</sup>. What is the frequency heard by the observer?</p>
<p> </p>
<p>A.   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{1200 \times 330}}{{370}}">
  <mfrac>
    <mrow>
      <mn>1200</mn>
      <mo>×</mo>
      <mn>330</mn>
    </mrow>
    <mrow>
      <mn>370</mn>
    </mrow>
  </mfrac>
</math></span>Hz</p>
<p>B.   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{1200 \times 290}}{{330}}">
  <mfrac>
    <mrow>
      <mn>1200</mn>
      <mo>×</mo>
      <mn>290</mn>
    </mrow>
    <mrow>
      <mn>330</mn>
    </mrow>
  </mfrac>
</math></span>Hz</p>
<p>C.   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{1200 \times 370}}{{330}}">
  <mfrac>
    <mrow>
      <mn>1200</mn>
      <mo>×</mo>
      <mn>370</mn>
    </mrow>
    <mrow>
      <mn>330</mn>
    </mrow>
  </mfrac>
</math></span>Hz</p>
<p>D.   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{1200 \times 330}}{{290}}">
  <mfrac>
    <mrow>
      <mn>1200</mn>
      <mo>×</mo>
      <mn>330</mn>
    </mrow>
    <mrow>
      <mn>290</mn>
    </mrow>
  </mfrac>
</math></span>Hz</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 train is moving in a straight line away from a stationary observer when the train horn emits&nbsp;a sound of frequency <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>f</mi><mn>0</mn></msub></math>. The speed of the train is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>10</mn><mi>v</mi></math> where <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi></math> is the speed of sound.&nbsp;What is the frequency of the horn as heard by the observer?</p>
<p>A.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>0</mn><mo>.</mo><mn>9</mn></mrow><mn>1</mn></mfrac><msub><mi>f</mi><mn>0</mn></msub></math></p>
<p>B.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mn>1</mn><mo>.</mo><mn>1</mn></mrow></mfrac><msub><mi>f</mi><mn>0</mn></msub></math></p>
<p>C.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>1</mn><mo>.</mo><mn>1</mn></mrow><mn>1</mn></mfrac><msub><mi>f</mi><mn>0</mn></msub></math></p>
<p>D.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mn>0</mn><mo>.</mo><mn>9</mn></mrow></mfrac><msub><mi>f</mi><mn>0</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>A pendulum oscillating near the surface of the Earth swings with a time period <em>T</em>. What is the time period of the same pendulum near the surface of the planet Mercury where the gravitational field strength is 0.4<em>g</em>?</p>
<p>A.  0.4<em>T</em></p>
<p>B.  0.6<em>T</em></p>
<p>C.  1.6<em>T</em></p>
<p>D.  2.5<em>T</em></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>Light is incident on a diffraction grating. The wavelengths of two spectral lines of the light differ by <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn><mo>.</mo><mn>59</mn><mo> </mo><mi>nm</mi></math> and have a mean wavelength of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>590</mn><mo> </mo><mi>nm</mi></math>. The spectral lines are just resolved in the fourth order of the grating. What is the minimum number of grating lines that were illuminated?</p>
<p>A.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>25</mn></math></p>
<p>B.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>250</mn></math></p>
<p>C.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1000</mn></math></p>
<p>D.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4000</mn></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 beam of light containing two different wavelengths is incident on a diffraction grating. The wavelengths are just resolved in the third order of diffraction.</p>
<p>What change increases the resolution of the image?</p>
<p><br>A.  Increasing the width of the incident beam</p>
<p>B.  Increasing the intensity of light</p>
<p>C.  Decreasing the number of lines per unit length in the diffraction grating</p>
<p>D.  Decreasing the order of diffraction</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;">An object undergoes simple harmonic motion (shm) of amplitude <em><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></em><sub>0</sub>. When the displacement of the object is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msub><mi>x</mi><mn>0</mn></msub><mn>3</mn></mfrac></math>, the speed of the object is <em><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi></math></em>. What is the speed when the displacement is <em><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math></em><sub>0</sub>?</span></p>
<p><span style="background-color: #ffffff;">A. 0</span></p>
<p><span style="background-color: #ffffff;">B. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>v</mi><mn>3</mn></mfrac></math></span></p>
<p><span style="background-color: #ffffff;">C. <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>2</mn></msqrt><mn>3</mn></mfrac><mi>v</mi></math></span></p>
<p><span style="background-color: #ffffff;">D. <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn><mi>v</mi></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>In a Young’s double-slit experiment, the distance between fringes is too small to be observed.</p>
<p>What change would increase the distance between fringes?</p>
<p>A. Increasing the frequency of light</p>
<p>B. Increasing the distance between slits</p>
<p>C. Increasing the distance from the slits to the screen</p>
<p>D. Increasing the distance between light source and slits</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>On approaching a stationary observer, a train sounds its horn and decelerates at a constant rate. At time <em>t</em> the train passes by the observer and continues to decelerate at the same rate. Which diagram shows the variation with time of the frequency of the sound measured by the observer?</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>