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</div><h2>SL Paper 3</h2><div class="specification">
<p>An experiment to find the internal resistance of a cell of known emf is to be set. The following equipment is available:</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-11_om_06.19.36.png" alt="M18/4/PHYSI/SP3/ENG/TZ1/02"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw a suitable circuit diagram that would enable the internal resistance to be determined.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>It is noticed that the resistor gets warmer. Explain how this would affect the calculated value of the internal resistance.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how using a variable resistance could improve the accuracy of the value found for the internal resistance.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>To determine the acceleration due to gravity, a small metal sphere is dropped from rest and the time it takes to fall through a known distance and open a trapdoor is measured.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-12_om_15.43.42.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/01"></p>
<p>The following data are available.</p>
<p>\[\begin{array}{*{20}{l}} {{\text{Diameter of metal sphere}}}&{ = 12.0 \pm 0.1{\text{ mm}}} \\ {{\text{Distance between the point of release and the trapdoor}}}&{ = 654 \pm 2{\text{ mm}}} \\ {{\text{Measured time for fall}}}&{ = 0.363 \pm 0.002{\text{ s}}} \end{array}\]</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the distance fallen, in m, by the centre of mass of the sphere including an estimate of the absolute uncertainty in your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Using the following equation</p>
<p>\[{\text{acceleration due to gravity}} = \frac{{2 \times {\text{distance fallen by centre of mass of sphere}}}}{{{{{\text{(measured time to fall)}}}^{\text{2}}}}}\]</p>
<p>calculate, for these data, the acceleration due to gravity including an estimate of the absolute uncertainty in your answer.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In a simple pendulum experiment, a student measures the period <em>T</em> of the pendulum many times and obtains an average value <em>T</em> = (2.540 ± 0.005) s. The length <em>L</em> of the pendulum is measured to be <em>L</em> = (1.60 ± 0.01) m.</p>
<p>Calculate, using \(g = \frac{{4{\pi ^2}L}}{{{T^2}}}\), the value of the acceleration of free fall, including its uncertainty. State the value of the uncertainty to one significant figure.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In a different experiment a student investigates the dependence of the period <em>T</em> of a simple pendulum on the amplitude of oscillations <em>θ</em>. The graph shows the variation of \(\frac{T}{{{T_0}}}\) with <em>θ</em>, where <em>T</em><sub>0</sub> is the period for small amplitude oscillations.</p>
<p style="text-align: center;"><img 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lWRwEAI6L3bl156CTL+Vh533XWX9sJMbqceGoP7t7/9bSBFMa8NCND52uAh0IShSUBfJUz2YuWeZrJ3K1cKO//887VFyK+66qohvc3OYG8VjPMd7E+Y9bMVATmU8Oabb2rTeb/0pS9p26X/4x//wL333qtN6ZV7m8n4W66jYKvHFhNj2PONCVYqJYEAgebmZnzwwQf4y1/+Av1FWW5urjZeu2zZMmRlZRHVECXAnu8QffCsdmwIyJhbuThNUVERZHx4dna2NuFh/Pjx2kSHzz77rGscl443Ns8gWbRykoWJJ8VJFiYg9TNJMgXXR9p69uxZyDUT5ApgLS0tePXVVzUKsmd76aWXap/09HQMHz68n3QGli3S3oFpi23uZLJVkuAki94imC2UcZJFdJiqYHSVXGo1E7Cu0qOSy3KsSLN48WLx7rvvisrKSm1Sg2wX+gQHeU/KysvLo8MKuauyRSU3Wx8VW6vKUelRyWV9VLaaqbOZcqxIY8bWkMdteMox39j+oFN7EhOQ47Wtra3atF25RoKMRnj66achx2pnzJiBxYsXa8MK5513XlctGQLWhYInCgImna8fHXUlGDdtNby9KXQuR23TCuSN4lByb5gosx8BOXwg9yqTOznIF2T6yzEZ+jVlyhQtGuGiiy5CWVmZ/YynRUlJwKTzdWBU3iq0i1XBSp5Gc/l8ZJdk0tkm5WMf2kbL+Fo5TqtHIezevRty+3N5yF6t/nLsq1/9KkKn7codH3iQgFUETDrfiOL8rdi7ZS+c836ISezlRsDhpZ0I6I5WOlfZs9WHD6SNcvaYXN9Wro8gFxbfs2ePNS9S7ASAttiWQP+cb2c7PI1Azi0upNq2ajRsqBGQ03OPHj2KgwcPanG1oT1aGYEwZ84cbfjg8ccfZ3ztUGscNqxvv5yv/3Ar9ntdmJA+GhzdteFTHeQm6b1Z+TJMxtVu3bq1ay0EWXU5dCCHDGSPVoZ6yXja3/zmN+zVDvJ2kWzV64fz9aOzrQWNyMAtY9nvTbYHnmz2yogD+ZETF+QsMXkuow7kIV+GSceamZmpTWAYPXp02OIzyVZX2ju0CPRjksVR1Lmvw7T998LzWiGyhkDXl5MsYvdHIYPrL7/8cm2ywpEjRyD3HZMTFmSPVu7KII+MjAxcdtllmmOVi85cfPHF2ouweE9eSLaJAMlkbzLZKttkYiZZ+A6IsnyncBbVipOG4cODS8BJFtGfpypgPVLu8Xi0iQhyx4UNGzaIZcuWibS0NG2igmQsd2WQ9+SEhZqaGiHTy10bIvVEWqOSy/RWpDETXG9FOVbokHVW2WtVOSo9KrkZW808QzPlWJFGxVXaaubo+7ADX7bFrhs4CDTLYQG5foF86fX666/jvffeCxsqkFWUUQZf+9rX8K1vfUsL+Xr00Uf5AmwQPHtWoW8E+jxoENuXbSfQUPp9uNx16FDW4yy8DVVwT3VpC5ikpLgw1b0ZLzZ44Q/J6/fuQ6W7IJgmBSlT3Sh/sQHe0EQh6XnaO4HQMVgZviUXkNEXkdEXkrnyyiu18VkZeSAdrFwu0ePx4NixY9qmjps3b0ZxcTFmz56NMWPG0PH2jpzSQUqgjz3f02jZuxO7nPlwT7rQYiQdaKpcjeLfvwNco1btP/QKSmZWY/TqHWivnQInvNi3/iHMmvl/MVKfZef/CDtK7kXF6AdQ3/4yJjoB777NeGjWInhG7sTavNHqgoZQChmqJXutcuxVOlafz6dNRJAI9BlfOg75suuLL77AddddB5fLpb3wkuvTXnLJJV0LgMsIA+lgeZAACfQk0Efn24k2z0Eg5zqMTe1zp7ln6cE7snda9dSzODLnVtySWoVGw5S64DRaap5Hec4t8MybAqdmihNTHliOFTvvRE39ceTljYa/pRabyjMwzzMXE52BlaWcU+7ET1fsQW7N+/hpXh5G6SoH8bfsrcpDHw7QJxycOHECn376KZ555pmw2k+ePBlf+cpXtNW4ZM9VHvKFSDTnasmLh7DSeUECQ4NAH53vaOStrdeWcrIMj78JFQsfQ4t7E1ZMOoUKU4oDPwLOCelIC/0NcIxG+oQzKNEcay4gQ+KcmXCnhS7pNxxp6ZlAyRuo/2lu0q1D0dnZqY2h6pjkFFn9aGpqgnSof/zjH7X1CKSTjTxkDKyMJpDOVXescoEY6VhlqJY+nZZxsZHkeE0C1hLoo/O1tnBNm2MsZlQ8D6czFfA3mSvAfxSt+9uBCdGTe/e34rD/LNDaAi8yDRK1oPXwWWDUiOhyC+/q/52X4VN6L1Sql/+9/+c//9lVknSWsicqt5XRj2g9U10mv+XLqwsuuEC7JScWjBs3ThtfleOwMiRLHqFDAfKajlXDwn9IIKEETMX5yhcp/T2EkJFEJg9/E8pn5KFkQjWa1vYyJNBRB/e4aaiaVxuRLjQG+Qa0Lb8O06ryIxb/0Vdoa8EKz7MozBqhvYwzaaGlydLS0jTHGKr03HPP7ep96vdlj1Q/zjnnHIwcOVK/5DcJkEACCJSWlg68VDPxaHFLYzaG+GStKHIiSqzxEVFbNFEgv0x4fMFz53JRe9IXUgWfOFm7XDgxV5R5Pg+5b3wqY1BlzGlvn9LSUkP5sWPHNOWqGEOVXCoxk0YVh2hGhxVpzOhQ2WqmzmbKsSKNFbbGsz4qe61gYlV9VLZaVY4VdTZjq7RXdSR+2KE/vx+pLmTnOBU5UzE2O0ORxrxYtd+W7MWq0pgvjSlJgAQGO4HQ11W91FX+V70YrpSU7njZaOeuYtR1xCGAVnux5jK0N/AiLvBizdBFOzORHvYizlAdBSRAAiRgOQGTzldfTF1oQfJCfA5P2VxA7lxx0he8JyDaV8UpeiDQqw28WAthor2IO4GcbLnUpQOpYzOR4w2+WOtKdhaH5Yu4nExLw+W61POEBEiABEwQMOl8IzR1LaY+PUGLqY9AZsEPUNj4JFZWfIBOaZ5fTrJYjZLGm+G+KUtb6tKROQ2LCg+gZOUWNHXKHvlZePeVYWXJQRS5bxgSiwJFPDlekgAJ2IRA/5yvvr6D1sOMQ01kFESBCykhwxqOMdPhrv4J0qryMVIOgQxzYdb+HGx8+X7k6rtrOC5Bvns9VqQ9h8tGDkNKyrlwzdqHnI2b8OPc7giCONSARZAACZBAGIF+vXCL2foOjnEorGlHYZiJAKLeH4WsvEKslZ/I9F3XDqRm5aFwrfx03eQJCZAACSScQD96vt2LqWdzMfWEP0AaQAIkkJwETE2yCK9a6EQGLqYezsYeV8m0MDVtjV2bIdvYsbVkTRNVIHAPudmJED0yJu8NLqYe/dmpAtZVcqnVTMC6So9KLsuxIo0VtpqxxQpbzbC1qhyVHpXcjK3x5Kay10w7kPaqjr4PO8T7ZVvsfryomQRIgAQSRqDPzjdmL9sShoAFkwAJkED8CfTR+XYvpl5g+WLq8a88SyQBEiCBRBHoo/PVF1OPNjvsLLx1j2KqPu14ajG2N6s3A0pUxVkuCZAACSSSQB+db3Ax9ZpoUQ7/xJ8rdyFjWyt84lPUX38Am/a2h+2nlsiKsmwSIAESsBOBPjrfXkz/4hMcfCsH1//HGDgwCv9+1WVo3PMhupcK7yUvRSRAAiQwxAhY53zDwDnwpS9fiC+F3eMFCZAACZCATqAfkyz0rBHfXzSgdNxmZLy5EbOd5+CLhlKM+0UG3qycDcNlHSNU2PVS7uRRXV1tV/N62MXg+h5ILLmRTFxlhZPJ3mSyVbJNzCQLw8jhf4ht83NFUe0RIcSnon7dLJFfdkCE7iFhmNXmAk6yiP6AVMHoKrnUaiZgXaVHJZflWJHGClvN2GKFrWbYWlWOSo9KbsbWeHJT2WumHUh7VYeFww7/hqtvvBxV0y5GSsoFmPTEGCwqyNCWdrSk20ElJEACJDCICPRrVbPo9R+OMbM3ol1sjC7mXRIgARIggS4CFvZ8u3TyhARIgARIQEGAzlcBiGISIAESiAUBOt9YUKVOEiABElAQoPNVAKKYBEiABGJBwLo431hYZxOdjPON3YNIpvjOZLJVPrFksjeZbJVsbRbnq4pqS14543yjPztVPKRKLrWaiZlU6VHJZTlWpLHCVjO2WGGrGbZWlaPSo5KbsTWe3FT2mmkH0l7VwWGH2HXqqJkESIAEDAnQ+RqioYAESIAEYkeAzjd2bKmZBEiABAwJ0PkaoqGABEiABGJHgM43dmypmQRIgAQMCdD5GqKhgARIgARiR4DON3ZsqZkESIAEDAlwkoUhmm4BJ1l0s7D6LJmC65PJVvmcksneZLJVsuUkC1UUs0VyTrKIDlIVjK6SS61mAtZVelRyWY4Vaayw1YwtVthqhq1V5aj0qORmbI0nN5W9ZtqBtFd1cNjB6q4c9ZEACZCACQI2cL5n4W2ognuqC/K/9ykpLkx1b8aLDV7FtvN+dDbXodxdEMyXgwWlNWju9IdV299cjgJNr9Qd8ikoR3N40rB8vCABEiCBWBJIuPP1H3oFJTOrgYU70O4TEL4GrE3bi3tmbsDuDmPv6D+0Aw/kroXn6vU4JQSEaMCaq/6CRTPXo6HLAfvR2daCxvwyeKRuLV3wu6YQWQmvfSwfLXWTAAnYmUCC3c9ptNQ8j/KcW3DnvClwSmscTkx5YDlW5OxBTf1xA3ZHsfsXqwL5Zo1DqpZqOJy5t2De8KdRvLU52Gs+jvqaXcCEdKQluKYGFeFtEiCBIUogwS6pE22eg3BGOkfHaKRPOIOqmvfREe3B+I+idX+7Qb7zsWvLn9AiO81auhPIyXYFHXQ0ZbxHAiRAAvEnkFjnG3SiRtX27m/FYeORB6NsQGML2uTQQ2c7PI3nIe2TLbjDFRzvdS1A6fYGePuj17hESkiABEigTwQS63w15+jtk8FaYq1n7OqZL8KZ+w+3Yr/XhTFT7sKv24Njvc3LkfH2I/ivJ/ahs6cG3iEBEiCBuBBI7CSLjjq4x01D1bxaNK3Nw6iuKh9Fnfs6TNt/LzyvRX8x5j+0HXdP3oR/qy7HirwxcPi92Lf+UfzspXrs8uSjtmkF8kZF+23xo6OuBOOmtWCF51kUZo3QoiC6ijY4WbJkiYGEt0mABIYagdLS0oFXWRUIHFO574Aoy3cKZ1GtOBlW0BFRWzRRIL9MeHxhgpALnzjl2SnWzR8v5CQI5BaJivqD4kDZXEU+IXyeMpGPiaKo9kiIPuNTTrKIzkYVjK6SS61mAtZVelRyWY4Vaayw1YwtVthqhq1V5aj0qORmbI0nN5W9ZtqBtFd1nDNw9z0ADUbDB0GVPV7EhRXlQGpWAZZWyo8uOIq6rVFe4OlifpMACZCATQhE+395HE1LxdjsDPR4saaMUjiN5vKb4XLXhUdDaPnOxbyCKzAKgTQprmLUhcULB2N/nfkomHRhHOvKokiABEigm0CCne8IZBb8AIWNT2JlxQeBF2Da2O1qlDTeDPdNWYhu4AhkXnMdch5fizV1hwIxvX4vGqp+jS1jl+BHuaMBjEDWzUuxLnsXKn/3YffLtc4P8bvKP2PGxkXIjTom3A2HZyRAAiQQKwLRfVusSoui1zFmOtzVP0FaVT5Gyum/w1yYtT8HG1++v9s5+ptQXuBCaC/WkXU7Kupvh+/nkzFMy7cQWzEHFZtnY4xeq9QpePC5Tbjx+Dpk6VOLZ1YBCzZh/exLDRx7FCN5iwRIgAQsJpDYMV+tMqOQlVeItfJjVDnHOBTWtKMwTD4czonzsPYP84zzaRPmJmL20krtE5adFyRAAiSQQAJ6HzGBJrBoEiABEhh6BBIb55skvLmYeuweVDItop1Mtsonlkz2JpOtki0XU1cF0lkkZ5xvdJCqeEiVXGo1EzOp0qOSy3KsSGOFrWZsscJWM2ytKkelRyU3Y2s8uansNdMOpL2qg8MOsevUUTMJkAAJGBKg8zVEQwEJkAAJxI4AnW/s2FIzCZAACRgSoPM1REMBCZAACcSOAJ1v7NhSMwmQAAkYEqDzNURDAQmQAAnEjgCdb+zYUjMJkAAJGHZVFhwAABAMSURBVBLgJAtDNN0CTrLoZmH1WTIF1yeTrfI5JZO9yWSrZMtJFqooZovknGQRHaQqGF0ll1rNBKyr9Kjkshwr0lhhqxlbrLDVDFurylHpUcnN2BpPbip7zbQDaa/q4LCD1V056iMBEiABEwTofE1AYhISIAESsJoAna/VRKmPBEiABEwQoPM1AYlJSIAESMBqAnS+VhOlPhIgARIwQYDO1wQkJiEBEiABqwnQ+VpNlPpIgARIwAQBTrIwAyklBdXV1SZS2iNJMgWs09bYtRmyjR1bTrJQRTFbJOcki+ggVcHoKrnUaiZgXaVHJZflWJHGClvN2GKFrWbYWlWOSo9KbsbWeHJT2WumHUh7VQeHHWL340jNJEACJGBIgM7XEA0FJEACJBA7AnS+sWNLzSRAAiRgSIDO1xANBSRAAiQQOwJ0vrFjS80kQAIkYEiAztcQDQUkQAIkEDsCjPM1wZaLqZuA1M8kjEXtJzgT2cjWBKR+JmGcryqQziI543yjg1TFQ6rkUquZmEmVHpVclmNFGitsNWOLFbaaYWtVOSo9KrkZW+PJTWWvmXYg7VUdNhh2OAtvQxXcU12QPcyUFBemujfjxQYv/L3+KvnR2VyHcndBMF8OFpTWoLkzPJffuw+VXWlSkDLVjfIXG+ANT9ZrSRSSAAmQgNUEEu58/YdeQcnMamDhDrT7BISvAWvT9uKemRuwu8PYQ/oP7cADuWvhuXo9TgkBIRqw5qq/YNHM9WjQHbD/I+wouRcVuB317WcgxBm0r/0q9tyzCE/tPmo1S+ojARIgAdMEEux8T6Ol5nmU59yCO+dNgVNa43BiygPLsSJnD2rqjxtU5Ch2/2JVIN+scUjVUg2HM/cWzBv+NIq3Nmu9Zn9LLTaVZ2DenXMx0TkcwHA4p9yJn67IQFXN++gw0M7bJEACJBBrAgl2vp1o8xyEc0I60kItcYxG+oQzxg7SfxSt+9sN8p2PXVv+hBa/H51tLWh0ZiI9TTpe/RiOtPRMoOoN1PfSs9ZT85sESIAEYkEg1OXFQn/vOoNO1CiRd38rDhuPPBhlAxpb0NZ5GodbW+A1SuVtQevhs0ZS3icBEiCBmBJIrPPtbIen0dA9Gldc6xm7esrDnHmgV90zEe+QAAmQQOIJJNb59rv+o5H7o2LMqFqLNXWHAlERfi/2rX8KW85Gccr9LocZSYAESCBGBFSxaDGV+w6IsnyncBbVipNhBR0RtUUTBfLLhMcXJgi58IlTnp1i3fzxQsbhIrdIVNQfFAfK5gbzfS488ty5XNSeDFXiEydrlwsn5ooyz+eaPi2/1MEPGbANsA2YaAMhjqjfp+fEyKebU2s0fBDM3eNFXJhWB1KzCrC0Un50wVHUbdVf4A0H0jPh1EWR3yEv4oSQ7c34kPHHqjTGueMvSSZ7aWvs2gfZxoat5GrFkeBhh1SMzc5Ajxdr2tjtCeRku4JhZJFVPY3m8pvhcteFh4tp+c7FvIIrMAoOpI7NRE6PF2tnAy/icjIxNjXB1Y+sFq9JgASGDIEEe58RyCz4AQobn8TKig/QKbFrY7erUdJ4M9w3ZSG6gSOQec11yHk8fMy3oerX2DJ2CX6UO1p7gI7MaVhUeAAlK7egSZt4cRbefWVYWXIQRe4bkBVd+ZB5+KwoCZBA4ggk3P04xkyHu/onSKvKx0g5vXiYC7P252Djy/cjd1TQPH8TygtcSHEVoy4Ym+vIuh0V9bfD9/PJGKblW4itmIOKzbMxRq+V4xLku9djRdpzuGzkMKSknAvXrH3I2bgJPw466MShZ8kkQAJDmQBXNTPx9JNp7ExWJ5nspa0mGmA/k5BtP8EpslnFVe8jKoqjmARIgARIwEoCdL5W0qQuEiABEjBJgM7XJCgmIwESIAErCXDM1wRNq8Z4TBTFJCRAAkOEAHu+Jh50Mk2wMFEdJiEBErABATpfGzwEmkACJDD0CND5Dr1nzhqTAAnYgACdrw0eAk0gARIYegTofHt55smx+eYJNJR+v+c6F9pMbTtsHhq50WkKUlwLUPp6c2A6uc7f70VDpRtTtU1U5UaqBXCXv4IGb7wXvO9A8+tPYoFL2mBgK/q76ate2dh8+w9tx52uSXDXhe9PaJd27G8uR0HX8w3yldcF5WjWN02wTTuQKx2E/v3IjX2rItrjwNoBna/R30FSbL7ZgabK1Sj+/Ts9a2ET+wMbnT6APWkPBzZIlZuY7piCxgVz8MD2j4I7VJ/FoR0rMbMCWFjfDp8Q8LU/jLQ9yzHzqb3hiyf1rKmFd87i0PZi5K46ght3n4QQPpzafSOOrPpPzCzd1/Vj0d9NXy00tKcq+bwffgTlkXsT2KQdAMFtvfLL4JEb5Wqb3ga/awqD66zYpR0A8ofs7u9ugu+OFwK2nqrD/ajGpIXVXT8UA24H/V6McpBn9HnKRH7Imr+B6gbWCO65/nD8Yfja3xYVRYvFurf3Rl0T2R72G62pHHFfW9f56yK/7IAIW3lZPoMe6zHHkPXJWlHknCiKao+EFBJhqwheR641rdXh2xF5Q9TE9PSkOFBWKL6emyu+jXD77dEOZOUDa3T3+rdjl3ZgZGtY+xh4O2DPt2cfQv6H3d6bb/qbULHwMXgKluPBSRdFqYFd7B+BrMKtEO2rkKcvkhRqrb7cp7ad1PmYkD46bBU7R1o6JmBXL7tYhyqz4HxUHta212NtXmBVvOga+7npa3RlFtz1o7OhDPeUnIc1xTdFLMFql3Yg/6Tkpre9LRMLwC7toON91FQhuDRtyCMKax8Dbwd0viFsu0+Da/523wg/051G+N34XTnGYkbF81iVNybMWXUbYHP7dUPzr8M1mSPgP9yK/ZH/XdbToB37W48Ghye6bsbpRF+C9AAKNy4KrLIXtk9gTzN6rE3dM4m1dzrr8aulv0HGxmWYdel5Ebpt1A40x3oe0j7ZgjtCx9O3N8AbHO+1SzsI2JGB7C8fQl25/h4iBwtKa9CsLU2r/5i0R/DuvjTTDuh8u3mFnNl9881UOJ2pIfZGntrbfv+h/4O1JQdQuGgaMh3B3llkFRJ8HXg5dC5cV9+H16/9IRb9hzPwQ9ffTV9jUp8TaPjVarx6/S+xfvalUX6I7dMOAg7NhTFT7sKv24Njvc3LkfH2I/ivJ+R4ul3agW7HQVQt/Z94I/1HqNXGp9/C8gu34j8f2IFD8sfCgnZA5xuTPwoqNSTQ+QEqilfh4MInsGJWNIdhmDOuAkdWIWrkH52vDdVjXsLVEx/E9kPxjrzorcry5WAJZr76PZT+cFLEcENv+RIjC/CsCf/fWmoWphdcAc+yUmxtPp0YwwxLbcfweauxout/l6Mw7qbbMOe1VfjF7vBoEkMVCgGdb1RAge2NooqS4qZN7e/8AOWLb0UJ7sf/Kp4Gp9b6gts92ZWrYwzyHnKjCNuxqeYg/KkuZOcY7gwYt1rIN+0P39eKB0vvwETD7bBs2g66KOnP/iA8bZ8Ftv3qkiX6xNXjHQS0Z38iMAxmQTug8436jIcjzeTmm1GzJ/ym/ez3e9/Ck5rjXYq6p+dhXIjD0F6sGfqzKH8ECeHrRaOnHZ0D2vTVKsNPo6XmeZR7X8WySRcE4pFTUjAs+07sQgMen3ZxMHbWfu2gNwL2aAcOjJo0HfMM22OwBha0AzrfqK0h2TfftJP9Z+GtexTTXHPxUtqj2B3heDX8oT2KkOfR9eJjbG/j2yEZBngaGOftOUkhoHZi8O13fzd9HaBxYdmDUSShsbIyNtpThnxMRFHtEQgtdtYu7SCw4W3oNmCB6ujRGPkomHQhwnqWIfWNdztA6tdx9YwzqKp5PzzGXBvnHYdrv5kmt+ft5+a/IRWLafhhMiv3tYptheOFc36FOHBKRp+eEe1vbxTze8SBJriSWmykU/SIn7SF/T5xqv4JkQsIZ+E20RYaxBuG7Yxo27ZYOJ2FouzASU3ia98rnpg/vme9wvJZffGpqF93fcgzF0L42kTt8vywe762baLQOV7ML2sUp6QJvnbx9hPzhTOeMclRqh6I6Q2P8xW2aAdCiFNvi3W5E7uZSftPNYqy+bmicFtrML7bLu1Ab7fXi3X1nwZIB5/x10Pa8UDbgZy9wSMqAZ845akVZUX5AkDg45wv1m2rF+2GTiSqotjeNHK+wgb2B23r4qdz7PoOcRSnPKK2rEhz1IH048X8ddtEffuZ2PKL1O5rF/Xb1on5zuAzR74oKqsVHu0HWE98Unhqy0RRrrOrbTjnrxPb6tvDJonoqeP1HdX52qEdBAH42uvFtnXzhVN//rlFoqzWE/gB0yHZpR1o3HaKdfPHB5+xbI87LW0HXEw95H8BPCUBEiCBeBHgmG+8SLMcEiABEgghQOcbAoOnJEACJBAvAnS+8SLNckiABEgghACdbwgMnpIACZBAvAjQ+caLNMshARIggRACdL4hMHhKAiRAAvEiQOcbL9IshwRIgARCCND5hsDg6RAmELZ3mNyva3v32q1GWPxNKC+4DeUGK3Jp61ksyEFKSg4WPPlW17q1Rup4f2gRoPMdWs+btY1GQK62dscD2Io5eM4n4GvbiIyq+7DoV/Vd+7ZFy6at6fov07QF4XvKj2L3U7/EkQU74RNv4ke+/42nLFqKsGdZvJOMBOh8k/Gp0WYLCcgFyX+Gqpyl+NmCKdoyl44x38Nt81zY/as/wvOFUVF+dNTvxt9mfxuZ0f6K5FY02y7F9ElyEfZR+PerxmBb5EItRqp5f0gQiNZshkTFWUkSkAT8zdtRvOxfMO+GK0IWJB+BL188EvjvFnx0xMj7Hkd9zSeYfU16lB0kAIy6AgVzPsIb9V740YG/v3MIcwquwChiJ4EgATpfNoUhTOAodpf9EruCe8l1g/gUHzV+DDgvxPn/avAnInu2f5tiMOQgNY1G7o/vxcWV12FYynfxi2H/Az/O7W1jzu7SeTY0CHBhnaHxnFnLaAQ66uAeNw2PG23emV8Gz2uFyOrhf/3oqCvBVTXT8c7aPPZmo7HlPSWBHs1KmYMJSGCQEAgs0h1cfDxkYfL/V78OXwfgnJCOtKh/IXJX4OMcRhgk7SBR1YjatBJlDMslgfgR+AL//GAfdmEkLv7yiJBiT+Pge/vw39B3rggR6af+Vuzd/pXA7gv6PX6TQB8J0Pn2ERiTDzYC2chwhTjfjj+hrOQFIPc23DzlwqiV9bf8Cdsvz8WkUfzziQqIN00RYOsxhYmJBh8BB/71/AvhxHGcOKVHNJzFoTe2o8p7PdYZ7gp8Gi179+FyRi4MviYR5xrR+cYZOIuzCwF9l9q9qKp4E17/WXj3bUbxfXtwbdka/HDi+QaGdqLNA2THaVNPAyN4exAQoPMdBA+RVegngVG5+Fndany1Ih+uYefC5f4H8l7ehV8Xjg+J+Y3QrQwxi0jPSxIwIMBQMwMwvE0CJEACsSTAnm8s6VI3CZAACRgQoPM1AMPbJEACJBBLAnS+saRL3SRAAiRgQOD/Az13hKIngUGEAAAAAElFTkSuQmCC"></p>
<p>The period may be considered to be independent of the amplitude <em>θ</em> as long as \(\frac{{T - {T_0}}}{{{T_0}}} < 0.01\). Determine the maximum value of <em>θ</em> for which the period is independent of the amplitude.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>The circuit shown may be used to measure the internal resistance of a cell.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-09-27_om_07.51.02.png" alt="M17/4/PHYSI/SP3/ENG/TZ2/02"></p>
</div>
<div class="specification">
<p>The ammeter used in the experiment in (b) is an analogue meter. The student takes measurements without checking for a “zero error” on the ammeter.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An ammeter and a voltmeter are connected in the circuit. Label the ammeter with the letter A and the voltmeter with the letter V.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In one experiment a student obtains the following graph showing the variation with current <em>I</em> of the potential difference <em>V</em> across the cell.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2017-09-27_om_08.05.10.png" alt="M17/4/PHYSI/SP3/ENG/TZ2/02b"></p>
<p>Using the graph, determine the best estimate of the internal resistance of the cell.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State what is meant by a zero error.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>After taking measurements the student observes that the ammeter has a positive zero error. Explain what effect, if any, this zero error will have on the calculated value of the internal resistance in (b).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The equipment shown in the diagram was used by a student to investigate the variation with volume, of the pressure <em>p</em> of air, at constant temperature. The air was trapped in a tube of constant cross-sectional area above a column of oil.</p>
<p style="text-align: center;"><img 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"></p>
<p>The pump forces oil to move up the tube decreasing the volume of the trapped air.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The student measured the height <em>H</em> of the air column and the corresponding air pressure <em>p</em>. After each reduction in the volume the student waited for some time before measuring the pressure. Outline why this was necessary.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The following graph of <em>p</em> versus \(\frac{1}{H}\) was obtained. Error bars were negligibly small.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>The equation of the line of best fit is \(p = a + \frac{b}{H}\).</p>
<p>Determine the value of <em>b</em> including an appropriate unit.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how the results of this experiment are consistent with the ideal gas law at constant temperature.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The cross-sectional area of the tube is 1.3 × 10<sup>–3</sup>\(\,\)m<sup>2</sup> and the temperature of air is 300 K. Estimate the number of moles of air in the tube.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The equation in (b) may be used to predict the pressure of the air at extremely large values of \(\frac{1}{H}\). Suggest why this will be an unreliable estimate of the pressure.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p>A student carries out an experiment to determine the variation of intensity of the light with distance from a point light source. The light source is at the centre of a transparent spherical cover of radius <em>C</em>. The student measures the distance <em>x </em>from the surface of the cover to a sensor that measures the intensity <em>I </em>of the light.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-12_om_15.49.35.png" alt="M18/4/PHYSI/SP3/ENG/TZ2/02"></p>
<p>The light source emits radiation with a constant power <em>P </em>and all of this radiation is transmitted through the cover. The relationship between <em>I </em>and <em>x </em>is given by</p>
<p>\[I = \frac{P}{{4\pi {{(C + x)}^2}}}\]</p>
</div>
<div class="specification">
<p>The student obtains a set of data and uses this to plot a graph of the variation of \(\frac{1}{{\sqrt I }}\) with <em>x</em>.</p>
<p style="text-align: left;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>This relationship can also be written as follows.</p>
<p>\[\frac{1}{{\sqrt I }} = Kx + KC\]</p>
<p>Show that \(K = 2\sqrt {\frac{\pi }{P}} \).</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate <em>C</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine <em>P</em>, to the correct number of significant figures including its unit.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain the disadvantage that a graph of <em>I </em>versus \(\frac{1}{{{x^2}}}\) has for the analysis in (b)(i) and (b)(ii).</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A magnetized needle is oscillating on a string about a vertical axis in a horizontal magneticfield <em>B</em>. The time for 10 oscillations is recorded for different values of <em>B</em>.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-11_om_06.15.15.png" alt="M18/4/PHYSI/SP3/ENG/TZ1/01_01"></p>
<p>The graph shows the variation with <em>B </em>of the time for 10 oscillations together with the uncertainties in the time measurements. The uncertainty in <em>B </em>is negligible.</p>
<p style="text-align: left;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Draw on the graph the line of best fit for the data.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the time taken for one oscillation when <em>B </em>= 0.005 T with its absolute uncertainty.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A student forms a hypothesis that the period of one oscillation <em>P </em>is given by:</p>
<p>\[P = \frac{K}{{\sqrt B }}\]</p>
<p>where <em>K </em>is a constant.</p>
<p>Determine the value of <em>K </em>using the point for which <em>B </em>= 0.005 T.</p>
<p>State the uncertainty in <em>K </em>to an appropriate number of significant figures.<span class="Apple-converted-space">Â </span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the unit of <em>K</em>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The student plots a graph to show how <em>P</em><sup>2</sup> varies with \(\frac{1}{B}\)Â for the data.</p>
<p>Sketch the shape of the expected line of best fit on the axes below assuming that the relationship \(P = \frac{K}{{\sqrt B }}\)Â is verified. You do <strong>not </strong>have to put numbers on the axes.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State how the value of <em>K </em>can be obtained from the graph.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>An apparatus is used to verify a gas law. The glass jar contains a fixed volume of air. Measurements can be taken using the thermometer and the pressure gauge.</p>
<p style="text-align: center;"><img 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"></p>
<p>The apparatus is cooled in a freezer and then placed in a water bath so that the temperature of the gas increases slowly. The pressure and temperature of the gas are recorded.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph shows the data recorded.</p>
<p><img src="data:image/png;base64,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"></p>
<p>Identify the fundamental SI unit for the gradient of the pressure–temperature graph.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The experiment is repeated using a different gas in the glass jar. The pressure for both experiments is low and both gases can be considered to be ideal.</p>
<p>(i) Using the axes provided in (a), draw the expected graph for this second experiment.</p>
<p>(ii) Explain the shape and intercept of the graph you drew in (b)(i).</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A student measures the refractive index of water by shining a light ray into a transparent container.</p>
<p>IO shows the direction of the normal at the point where the light is incident on the container. IX shows the direction of the light ray when the container is empty. IY shows the direction of the deviated light ray when the container is filled with water.</p>
<p>The angle of incidence <em>θ</em> is varied and the student determines the position of O, X and Y for each angle of incidence.</p>
<p style="text-align: center;"><img 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aunTp3qyfUJadxCa5nnCCCAQEcB2smOJl57hSDQazXWRX5tOzq7fbt48eIoZ7aoqe4pDZ9eq7l7dmrNtAGt5/znIa0bXqj1s/eEBIZRPh7HSxaE1tfXOz82Kzly0WobX+iF9Qlp3OKobE5BAAFfC9BOer/6v+r9IlCCUAHrjZs1a1boSyHPP1f9rlo15pWotLB955CWj97XWx/maXRBvnJDzu7JU9uRpKSkxPlZuXKlbNHqAwcOOHseL1myJJik7Zc8ZcoUZ8/jYcOGBV/nCQIIIIAAAgikRoCewNQ4p+wqRUVFsSeENNVpxfDpWtsYLTsTtDy0dzDaKQl4zXop33333ajjCe+8805Z/gcNGpSAK/UuCf7C7Z0fn0YAgewXoJ30fh0TBHq/DsNK0Nn/lP95aJ2GF67X1zaHzgJuGw9YVaI9J5/VtH6Rc4PDkk/ogbto9b59+xRtPKEtWm0/6djvuDPHhCKQGAIIIOBRAdpJj1ZcSLa5HRyC4fWn1stmt1mjP/5Tv/n4tD7UZK2cPLh9GZimo9pVdUHFS8tUlMIA0PJ43XXXaezYsc6PjWF0F61+++23nfUK3T2P7fa2zToeN25ccNeT6GXkVQQQQAABBBCIV4AgMF4pj5x34403dp7TvKEafOs1bedc0fndNapSuTZ+a2yvxwN2fuGu37Uev0mTJjk/7njC48ePO72E0cYT2j7IFkTyQAABBBBAAIHuC6Tu3l/388YnkiHQ9yb9Sd+2am8+ov/z4k4VLJ2nkoFuYJiMi/YsTRsbaJNM1q5dq0AgoIaGBlVXVzuJzZ8/3+kZtNsRy5cvV01NjTMrumdX4lMIIIAAAokVaNKpuhpVriiVtdOtP6VaUfmmDjVeSeylSK3HAgSBPabLvA8OGDBAe/fujZGxr+qWUUUq+XCv/u/7l6Tmk6p55mmtv/1p/cMjhWnvBYyR6bCXbRaxLYC9adMmZx3Ew4cPa8uWLU7wN3v2bGfpGZtYYotl21I5NjOZBwIIIIBAigVazqtu5X0qmLNdn894Ub8LBJw/5K9eeE5/8fnPdW/+vVpZd14tKc4Wl+sowMSQjiaefqXzgbpNOln5XU1bWKlGjdK8inVa9cjXNSzX+38LuOMJLTC0/Y4j1ye08YQjRoyIe5JJ546e/oqQeQQQQCAhAtHbybZtSdcPVvXB9SrvcJepq/cTkjUSiVOAIDBOKK+ctmjRItn2bX5fe896AW08oS1c7U4wsTp01ye08YSdLVodvXHzyreAfCKAAALJF4jaTjpLkc3RkRh70Tu5aluurGpu7zcoSH4ps/sK3u8Cyu766XbpbAFmW4fP7w93PKFNMAkdT2gTZ9zxhH379mU8od+/KJQfAQQSKNCipvrdqmrM19jBA9pXoYi8Qr8xKp07QY1Vu1XfxE3hSJ5UHhMEplI7BdeaNm2aNm7cKFuDj0e7gDue0CaZ2L7K7njCL774Qu54Qvur1h1P2P5JniGAAAIIxCdwRZ+eOa1GDVHBoDj2n2o8rTOfMkkkPtvknOX7JWLsH/5oD+s9ch+Zdo7lK1qeLM/WA1ZcXOzsyFFaWuoWIfg7tFydpRP8QCfXyqRzLC+hZYvm457jrk9o4wQjH6G3jmOlYZ+xmcq33Xabs9ZhrPPizY+bh0SlY+lFSys0P347x8obWv5oPn45x291H1rvscrul7qP53sfyyheR/s8D+8I+D4IjPxiR6u6TDvH8thZnn74wx86xejsHLecnONKtP+28YQW4FkQ/eGHHzrrFtr4QneyiZ1p4wndx8SJE53A245HjRql3Nxc3XLLLcEla6wXMpXOlo9UXo9rud+E6L8zzYfvR/sf+NFrzN///3Tn+9ExqLxGtw4eqjzVquFcszTs2ljEra+HrVvb+am8mxwB3weByWFNb6rW08Wj5wLu3sU7d+7skMgbb7yhb37zm87r7i4m1157rb788kvZrWUbbxjrYZNSbEziDTfcoOHDhzunWdBoD1veJx3b48XKK68jgAAC3RfIUb/CGZqb9xMdOXNRLYoxLtDZqeqQ8uauVWGKd6rqfpmy+xPMDs7u+qV0PRSwv3Bj9eAcOXJER48edW65v/LKK84Vzp4969yKdy9nvYk29vA3v/mNfv3rXzsvuxN2bHu/7du3u6d2+G2zu+3h9ipaz+LgwYOd1/w+67sDFi8ggEDaBKK3k10tAdPV+2krji8vTBDoy2qn0F0JRG/cOn7KJuBYABganNlC1U899ZTKyso0derUmOsTup+1VM+cOaPm5mZduHBBn3zyiXOhioqKjhdse8X2U7ZrhvYqDhkyRDbj2X7c3syYCfAGAggg0EuBmO2kLRb91AJN/8mtqtiySo98fZizIUFL4yFt++kGLV72qb6zp1LPThsYewZxL/PGx+MTIAiMz4mzfCYQs3GLw8F6AW3B6m3btgXHEdqt4A0bNjgTSeJIIuwUt1fRehY/+ugj572TJ0/q0qVLzrjDeHoVb7/9duXn5zvjFd1eRXdiS9jFOEAAAQTiFOi8nbyixkO12vGzF7VwbW1biiVavnmJ7p9Zogl5mbdVaZzFzqrTCAKzqjopTKIEOm/c4r+KBXAHDhxwevgWLlwYDALtlrIFdNZ7N3bs2PgT7ORMu81sD7dX0XoWjx075rwWT6+inXjnnXc659Or6DDwHwQQ6EQgUe1kJ5fgrSQLEAQmGZjkvSmQ7MbNegpDJ5HYOEC7xTtp0qSkgtn2ehcvXnSu4QaIbq+iTWxxxzhGy4Q7scXtVbRz3Ikt9CpGE+M1BLJbINntZHbrZUbpCAIzox7IRcoELqpuxT2avvZQyBXzVLK5TjsWDA+OT0lF42ZjAm29wX379mn37t1OfuwWsvuwgM0e6Zg17PYquhNbQnsV9+7dG7zN7ebV/R26XI7bq2jL5dx8883OKaFjJ93P8BsBBLwpkIp20psy3sk1QaB36oqcJlKg5aQqZ07TQj2rhh0LNCxi75xMaNxsYomN97MeQnc5mvHjxwdvKSeSoydpRetVdCe2xNurGDqxxe1VZLmcntQGn0Eg9QKZ0E6mvtTZdUWCwOyqT0oTr4AHgkALsurr650fdycTuyW7adOmeEuZEee5E1vcXkXLlLtcTry9iiyXkxFVSSYQCBMgCAzj8OQBQaAnq41M91rAA0FgZBntFm1kL9miRYucBajt1qsFSl693Zqs5XIivSJNOUYAgZ4LEAT23C5TPkkQmCk1QT5SK+DBIDAaUE1NjbMcjbtMjI3Je/bZZ1VSUhLtdM+/5vYqhi6X4/YqxrsItzuxJXQRbia2eP6rQQHSIEAQmAb0BF+SbeMSDEpyCKRSoLy8XPZjt45PnDihw4cP6/rrrw9mwXrY3nnnHee1ESNGpGWSSTAzCXgSugi2u7SOlT/y4U5sibZczpIlSyJPDx67i3DbC+7EFpbLCfLwBAEEskyAnsAsq1CKE6dAlvQEdlVaCwJt15KDBw86p9qYwilTpugb3/iG5wPCrsre1fvuxJbQXkWWy+lKjfcRaBegJ7DdwqvPCAK9WnPku3cCPgkCXSTrGbN1Ae3WqS0cvWXLFs2bN899W3abNbSXLfgGT5xdWYzBndiSiOVy2NqPL1Y2CBAEer8WCQK9X4eUoCcCPgsCOyOy3UvGjRvnnLJ69WoVFhZq5MiRBIWdoUW85/Yq2svuItwslxOBxGHWCRAEer9KCQK9X4eUoCcCBIFhavv373fGE9qi1e4kE1vEOtk7mIRlwgcH7sQWt1fRiuxObOnucjkswu2DL0yGF5EgMMMrKI7sEQTGgcQpWShAEBizUi1Q+fjjjxW6MLX1Fr722mvOMjRjxoxRQUFBxixaHbMgHn0jdLmcyF5FK1I8+0CHLsLtTmxhuRyPfiEyONsEgRlcOXFmjSAwTihOyxaBzNk2zkuidrvzRz/6UVgAYpNMNmzYQDCYpop0exVDJ7a4vYrxLpcTbRFulstJU4V68LIEgR6stIgsEwRGgHCIgAnQuMX+Hliv4NGjR53JJI888khwlrEFJcePH2c8YWy6lL8T2qsYbbmceHoVLdMsl5PyqvPEBWknPVFNnWaSILBTHt70qwCNW/dr3haunj17tvNBW7Ta9j625WkYV9h9y1R/wp3YEtqr6C6XE2+vorsIt+Xd3QeaXsVU12Rqr0c7mVrvZFyNIDAZqqTpeQEat55VoQUT7n7H27Ztc9Yn/Oyzz4K9hZaq9U5dd911PbsAn0qrgLsItzuxheVy0lodab847WTaq6DXGSAI7DUhCWSjAI1bYmo1MuDbuHGjbMcOd9Fqm2Ti7vyRmCuSSroF3F5Fy4c7scXtVfziiy/0yiuvxMyifS9uvPFGhU5scXsVmdgSky1tb9BOpo0+YRcmCEwYJQllkwCNW3Jq0wKEN99809nKzg0GbKs26zXk4S8Bd2KL26topXcntrBcjje+C7ST3qinznJJENiZDu/5VoDGLflVb72EDQ0N+v3vfx82btB6C5uampxFq23h6ptuuin5meEKGSkQOrHF7VV0F+G2DHc2sSVaryLL5SS2mmknE+uZjtQIAtOhzjUzXoDGLX1VZBNMbDkad79j6ym0Le7Ky8vTlymunNECbq9i6MQWt1cx3okt0ZbLGTZsWEaXO92Zo51Mdw30/voEgb03JIUsFKBxS3+lukvO2ESTfv36afHixcFM2Q4n119/PYtWB0V40pVAaK+iu1xOvL2K9oeIGxCyXE67NO1ku4VXnxEEerXmyHdSBWjcksrb68Rt+Rl3e7tly5Y569gVFxdz67jXsiTgTmwJ7VV0J7bE26voLpeTm5urwYMHO6jZuFxOh3ay+YDW3VumZVqm+jce14TcnIgvVIua6p7S8OlvaGb1m9pUfociz4j4AIdJFiAITDIwyXtToEPj5s1iZG2u3fGEtmi13T62gPDFF18M6y3M2sJTsIwQcJfLcXsV/bhcTsd2skXNh17QvYUVUsU2vfFEkXJDa6stSFw/ZKMObirXQCLAUJ20PCcITAs7F810gY6NW6bn2N/5s94bW3vQXX/Qju+55x7l5+drxowZGjdunEaMGEFPob+/JikvvduraBd2J7a4vYrxLpfj9ipaGpm2XE70dvKSDq2bo8JlUkX9q3piwg1t7m2vrx+s6oPrVT7wmpTXBxfsKEAQ2NGEVxBg27gs+A7U1tY6C1e7i1Zbkaqrq5lgkgV1m21FcHsVvbZcTvQgUFKH28Jq6yHco78MCwyzrSa9Vx6CQO/VGTlOgUDMxi0F1+YSiRewf2StJ6aoqEiDBg1yLmC9NC+99JKGDx/u9LC4A/8Tf3VSRKD3AqETW9xeRXdiS7y9iqGLcCdiuZzY7WTEbeFHpJfufVC/+MvXOt4i7j0NKfRCgCCwF3h8NHsFYjdu2Vtmv5XM/lF97LHHwnawWL16tR555BFuG/vty5BF5U3lcjmdt5NXdL5mqSbO/nd9fZ609ZNvxpgskkX4HiwKQaAHK40sJ1+g88Yt+dfnCqkTsB7BEydO6PDhw3r//ff16KOPBreycyeg2LgsFq1OXZ1wpeQKhPYquhNb3F5Fu3Jni3C7y+VYr+KqVasUCARiZ7blY9Us+oZmV94RMT4w9kd4J7UCBIGp9eZqHhEgCPRIRSU5m7Ye4eTJk52r2D9+NsnEjtnvOMnwJJ8RAu7Els6Wy/nss886+QPpoupW3KPpVSXac/JZTevHdOCMqNiQTHw15DlPEUAAAQRCBCZNmqSzZ8/qwIEDzr62S5Yscd61XkMCwRAonmalgPV+uz3g0b7v9sey+35WAvigUITlPqhkiogAAj0XsIkktmXd2rVrnVtfFhSG/oNo6xTaP4bLly+XzUi2MVk8EEAAAS8IEAR6oZbIIwIIZIyAO7vYzZDNOLaFqm0GcmlpqWxnCHvNxl3xQAABBDJZgNvBmVw75A0BBDJewIJC29fYftxJJr///e/D8n3kyBHt27fPWbR6/PjxwUWtw07iAAEEEEixABNDUgzO5bwhwMQQbwuQ7IgAABUxSURBVNSTV3Jpt4mtl9B9PPTQQ5o5cyYLV7sg/PakAO2kJ6stLNMEgWEcHCDQKkDjxjchGQJ2y/jdd9/VO++8I9sdwnYzcR/Wi2izMCNvN7vv8xuBTBOgncy0Gul+fggCu2/GJ3wgQOPmg0rOsCKWlZVp+/btmjhxoux5YWGh88PsywyrKLITFKCdDFJ49glBoGerjownU4DGLZm6pB1NwB1PaMvPbN26VQcPHpStTRjaWxjtc7yGQLoEaCfTJZ+46xIEJs6SlLJIgMYtiyrTo0WxpWb69u0btg6b9RDefPPNmjJlisaMGaOCggImmXi0frMh27ST3q9Flojxfh1SAgQQyEIBGxsYeSt42bJlTknnz5/vzDS2INEmnfBAAAEEeiJAT2BP1PhM1gvwF27WV7GnC+juaXz06FGnR9BdvNpe37Fjh3JzczVy5EgmmXi6ljM/87STmV9HXeWQILArId73pQCNmy+r3fOFtiDwW9/6ljPBxApjk0zmzZvnTDRh1rHnqzfjCkA7mXFV0u0MsVh0t8n4AAIIIJCZAtddd50zkcTGEx4/flz19fXOJJP8/PywXkF7v3///ownzMxqJFcIpEyAnsCUUXMhLwnwF66Xaou8dkfAAkDb2s4e7qLVo0aN0rBhw7qTDOci4OyZHQgEkPCwABNDPFx5ZB0BBBDoroDdFrZlaLZs2eJ8dPbs2c4s4/3793c3Kc5HAAGPC9AT6PEKJPvJEaAnMDmupJp5AjaO8OzZs07voN1OtoftdfyDH/xARUVFmjp1qkaMGNFhpnLmlYQcpVqAdjLV4om/Hj2BiTclRQQQQMAzAhb42a1gNwC0jN9+++1OAGgLVU+ePNkZP2hrFNqC1jwQQCB7BOgJzJ66pCQJFOAv3ARikpSnBWwM4YEDB3Ty5ElnprE7y9j2QT527JgYT+jp6u1V5mkne8WXER8mCMyIaiATmSZA45ZpNUJ+Mk3AFqkuLS0NZssWsp4xY4ZKSkqCr/EkuwVoJ71fvwSB3q9DSpAEARq3JKCSZNYJuItW79u3T7t379aFCxe0c+fO4PhBe99+Inc+yToInxaIdtL7FU8Q6P06pARJEKBxSwIqSfpOYOPGjVqyZIlmzZrl9BKOGzdO48ePDxt/6DuULCow7aT3K5Mg0Pt1SAmSIEDjlgRUkvSdgE0ksQWrrZewoqLCKb/tYmJjDHl4X4B2MgvqMMBKj96vRUqQcAEat4STkiACsskkly9flrvXsZFYb+Enn3yiO++805mR7E48gSvzBWgnM7+OusohS8R0JcT7CCCAAAIJEbClaEIDQEvUbhFbcGiLVttOJrY2YU1NTUKuRyIIINC5ALeDO/fhXZ8K8BeuTyueYqdNwG4dnzhxwtnNxDKxePHiYF7c3UxYtDpIkhFPaCczohp6lQmCwF7x8eFsFaBxy9aapVxeFLCFqrdv3+5k3fY7njJliqZNmyZuHae3Nmkn0+ufiKtzOzgRiqSBAAIIIJA0Adu5pKGhQdXV1c415s+fr61bt4Zdj91Mwjg4QCAuAXoC42LiJL8J8Beu32qc8npJwNYeDN3mzgLA/v37y2YeW69hYWGhRo4cSU9hkiuVdjLJwClInp7AFCBzCQQQQACBxAmEBoCWqi1GffjwYWdbO1t+xnYysUkmTDBJnDkpZacAPYHZWa+UqpcC/IXbS0A+jkAaBWy/4+PHjzs9gu5uJdZb+NJLLzm9g2PGjFFBQUFYb2Ias+vZS9NOerbqghmnJzBIwRMEEEAAgWwQsAkjtoexGwBamaz38NKlS7LxhLYsTd++fbVo0SJZwMgDAb8K0BPo15qn3J0K8Bdupzy8iYBnBdz9jo8ePapjx47pwQcfDK5daO+99957uuOOOxhPGEcN007GgZThpxAEZngFkb30CNC4pcedqyKQToEjR444vYSWB3eSydSpUzVp0qR0Zitjr007mbFVE3fGCALjpuJEPwnQuPmptikrAu0CNnbQ9ju2H1ua5uDBg86kk8idTto/4d9ntJPer3uCQO/XISVIggCNWxJQSRIBDwpYUBg6trC2ttaZfewuWm17Htt2eH580E56v9aZGOL9OqQECCCAAAJJEggNAO0StlvJli1bnKvZJBObZWz7HVuwyAMBrwnQE+i1GiO/KRHgL9yUMHMRBDwt4E4y+Y//+A8nOHTXL7TeQrudbItW209kIOnpQodknnYyBMOjTwkCPVpxZDu5AjRuyfUldQSyWWD//v367ne/64wntHLOmjVL5eXlzmLW2VRu2knv1yZBoPfrkBIkQYDGLQmoJImAzwTcRat3796tL774Qhs2bAguUG3vXbx4Mbg8jRdpaCe9WGvheSYIDPfgCAFHgMaNLwICCCRTYPny5aqoqHAusWzZMtkEk+LiYk/dOqadTOY3JDVpEwSmxpmreEyAxs1jFUZ2EfCYgDue0Battj2Ot2/f7tw2tmVpvPKgnfRKTcXOJ0FgbBve8bEAjZuPK5+iI5AGAXd2cegkkrKyMicnM2bMcBaxHjFiREb1FNJOpuGLkuBLEgQmGJTkskOAxi076pFSIOBlAdvB5Je//KVWrVoVLIYtTzNv3rzgcTqf0E6mUz8x1yYITIwjqWSZAI1bllUoxUHA4wKnTp1y9joeMmRIcDKJ3VLevHmz8vPzNWrUqJQvWk076fEvlaSver8IlAABBBBAAIHsFrBdSSJ3JrF1CT/55BMtWbIkWPjVq1c7PYWDBg0KvsYTBGIJ0BMYS4bXfS3AX7i+rn4Kj4CnBGw84YkTJ5w9jm05GrtdbOsSug/rRRwwYEDCxxPSTrrC3v1NEOjduiPnSRSgcUsiLkkjgEDKBGw9wttuu825nrto9ZgxY5zt7twdTnqaGdrJnsplzufYOzhz6oKcIIAAAgggkFABuy189uxZVVdXO7eTbb/jcePG6Z133knodVoTa1Hzoed1d5/Rml95TM0drtCkk5ULlZ+/WDXnr3R4lxdSL0BPYOrNuaIHBPgL1wOVRBYRQKBHAnZ7OHR8oR3PmTPHWazalqMZOXKk4hlTGL2dvKRD6+aocJlUUf+qnphwQ1seLUB8QfcWVmpI9ZvaVH6H6IXqUfUl9EPUQUI5SQwBBBBAAIHMFggNAC2ndrvYxhFaMFhaWuocFxUVyW4ld/9xgyY88j1VFL+nZU/8ow41tzhJtJzfpsfvrZAqNusFAsDusybpE/QEJgmWZL0tEP0vXG+XidwjgAACXQnYJJP6+nonILTFqt0eQQsI6+rqFDqesLN2suV8jRZNXKyPlm7TG0tvUe2ib2j2RwtU/8bjmpBL/1NX9ZCq9wkCUyXNdTwl0Fnj5qmCkFkEEEAgAQK2cLWNJXQfDz30kF555RUFAgH3pYjfV3S+Zqkmzv53fX2etPWt/6rqg+tVPvCaiPM4TKcA4Xg69bk2AggggAACHhAYO3asE/A1NDTIdi1xH7FvGV+jgWXLtHHBRW3delELNi5TGQGgy5Yxv+kJzJiqICOZJEBPYCbVBnlBAIFMFOiqnWy9JTxblY1S3oJqHdxUroF0PWVUVVIdGVUdZAYBBBBAAIEsEGg+pp+s/L4qCyq0Z0+FCioXa876A1GWjcmCsnq4CPQEerjyyHryBLr6Czd5VyZlBBBAwBsCsdvJtmVi1t+izXXPa8HwlhjLxnijnNmcS4LAbK5dytZjgdiNW4+T5IMIIIBAVglEbyevqLHu7/Tg9H8OXw+w+YDW3VumZVrGDOEM+hZwOziDKoOsIIAAAggg4GWBlvNv6qk5L0tPrtezZSELQucW6pF/+DvNa6jQE8/tUWPr8oFeLmpW5J2ewKyoRgqRaIHof+Em+iqkhwACCHhXoEM72WVvn7tszNuaya4hGVHxBIEZUQ1kItMEOjRumZZB8oMAAgikWYB2Ms0VkIDLczs4AYgkgQACCCCAAAIIeE2AINBrNUZ+EUAAAQQQQACBBAgQBCYAkSQQQAABBBBAAAGvCRAEeq3GyC8CCCCAAAIIIJAAAYLABCCSBAIIIIAAAggg4DUBgkCv1Rj5RQABBBBAAAEEEiBAEJgARJJAAAEEEEAAAQS8JkAQ6LUaI78IIIAAAggggEACBAgCE4BIEggggAACCCCAgNcECAK9VmPkFwEEEEAAAQQQSIAAQWACEEkCAQQQQAABBBDwmgBBoNdqjPwigAACCCCAAAIJECAITAAiSSCAAAIIIIAAAl4TIAj0Wo2RXwQQQAABBBBAIAECBIEJQCQJBBBAAAEEEEDAawIEgV6rMfKLAAIIIIAAAggkQIAgMAGIJIEAAggggAACCHhNgCDQazVGfhFAAAEEEEAAgQQIEAQmAJEkEEAAAQQQQAABrwkQBHqtxsgvAggggAACCCCQAAGCwAQgkgQCCCCAAAIIIOA1AYJAr9UY+UUAAQQQQAABBBIgQBCYAESSQAABBBBAAAEEvCZAEOi1GiO/CCCAAAIIIIBAAgQIAhOASBIIIIAAAggggIDXBAgCvVZj5BcBBBBAAAEEEEiAAEFgAhBJAgEEEEAAAQQQ8JoAQaDXaoz8IoAAAggggAACCRAgCEwAIkkggAACCCCAQIYINB/QuvkbdKi5RVKTTr21QSu3nJQdpf/xpU5V3q8++StV15SsHLWo+dDzKl1Yo/NdXIIgMP3fCHKAAAIIIIAAAgkRuKi6Z57WiVmzNC43R2qq1+b5P9KhqwlJPAGJXKthC36mwIXnNK1fskKwHOVOmKsVA17W97Z93Gnwm6wcJACKJBBAAAEEEEAAgXgFrAesSs8ceUAryu6QvwOcASpe+IDOLX5ZezvpcfS3UbzfK85DAAEEEEAAgcwWaDmr2h//VNc8cJeGWnTTVKcVw6drbWOjaheO0FeCt2Bb1HyqTpUrStWnTx/16ZOvu1dUqu5UU1v5WtRUt1L5fe7Xprq39Pz80W3nlWrFlgNqjHmLte1Wb2mlToWd05aec/3LUW4HX1HjoSqtuDu//TqVdTrl3M6OdvvYzV+hVtRdbK8TK29++2s5Q6fr4Zm1WvPPp2L2BhIEtvPxDAEEEEAAAQQ8KtByeo9erhyiByYPbu0F7DdNa07u0fK8PJVsPqGrzi1YqflklR4tflxv3/o9XbgaUODqIa259W3NKXhQ6w5dCin9z/VXc16VHq3V1cBV/a7hYeknD+rB9QfUHHJW+9NrNXTyPSqp3al9p79sf1mfq35XrTR3hgo73AK+ovM1SzXh3t26dc0hXQ0EFPjd36vg7cdV/Pg2nW9pS7OxVrvqP29LszW9Rl3QkTMX2wK8FjXV71aVSlRaeFPreTm3aNSkIap9/V91Oiwobc8aQWC7Bc8QQAABBBBAwJMCLWo+d1of5A3V4Fuv6aQEn+vAP76ot2b+UM89Pkl5FgXl5Knou3+vV5d/qmUra0J68UZpwcb/pceL8pSjHOUOK9Oqp+9Xw/ptOhDjFmvO0Lv0QMl7qvqXo+2BYtNR7aqS5paOUb/InDXt04bFNRr97JNt15GUO0oLXnxBc3c8pw17L6o1zUvtAV/LRZ05Ij047y/0QTDAixZoXqNbBw9VXoegtD0TBIHtFjxDAAEEEEAAAU8KXNGnZ06rcfRQDbIJIbEeTkB2QaMnjWwNAIPn5WpQwRDpg9M659yGtTdGaNKoW0LGFuYod9BQjQ7rlQsm0PokZ4hKH74nJFC8ovO7a1RV8G3dX9TWQxf8SFvvXWO+xg4eEHIdCwTzVTD6gqp2HVVTzmBNfmB8sEev5fS/6vUPSvSdR/+7Rrv5jRpotuVXH6nhXPS+y06kgrnkCQIIIIAAAgggkMECzTrX8FGX+Wv59IyONHZyWuNpnfn0Sicn2Fuht2EjT71GA2eUa67abt+2fKRdL+/U6LkzW2crR57uHB/S2uk3t40HtDGKfdTnKyO0sNbNaOht5stOj+eHc2foLwqn6IHRbzu3iZ1yhd4Kjnqdji8SBHY04RUEEEAAAQQQ8JRAW09eF3nOuXWwxuZ1clKXt5Pts1F67kKT7DdGpXPl9OJdsl672vHt4xRDzws+v0+bG/6ggI0HjPi5sGaacwu59ZbweTWcO6P6XW/rawX5ys0ZoMFjpSNnzurUvp36IOqYw+BFoj4hCIzKwosIIIAAAggg4B2BtvFv7u3RWBl3ArR8fbD/eMQs37aexLDbyZG3Ud1xhyGTL6Je5yYVlpZIVTV6peYN1Zbco8lDr41yZo76Fc7Q3LwT2n/s1+EzeG3B67uHqrSybZFrJ+D7o6o2r9HmqoFtQaVdZ6o+qFqnv6s6H2XMYVt+NUQFg3KjXF/ht6CjnsGLCCCAAAIIIIBARgu44/Uibuc6Y+v6tub8crOaW25S0f9coq/v+L5WvrC/LRBs0snKFZqz9lZVPFeuYcHusUNa+8x61ThLx7Q4s4qXzHlDMzc+rOIOs3xDcXLUr6hMSwtqtOzJf1OJu2RN6Cnu836T9djGqdqx+Ht64UBjayDYfFI1zzytZXpUz90/rC1QawssX9uq1+ROfmkr897XtLVhavusYDdttY2TjBmEStb1yAMBBCIE7H8NfjDgO8B3gO9A59+BiKYzzYe/CexZflegZPOJwNVgTv4YuLDnB4Fip02/L7C54Q+BQOBq4HcNewKbl5e0tfN5geLlmwN7Gn7b9qmrgd/ueTKQp5LA8s1bAxXzRrWelzcvUFHbEPhdMO3Onvwh0LD5voDyHg1Un/tjyInu608G9vzWzeVvAw17NgeWF+e15WdUYF5FdaD+QujnAoHAb/cElucpkLd8T8DNaeDqicDmkryASjYHGtzk3Ks5730twsN9s/V3H/sVDBp5ggACCCCAAAIIeFLAdgx5Qfc+Ia1743FN6GyWcKfls8WYn9Lw6af1bMNWLRgW7VZupwlkxJstpyo1s/i0Vpx8NuYWdcFOz4zIMZlAAAEEEEAAAQR6JNC6Z+7TRTv149qz4WPsepSelz90UXs3v65BXdy6Jgj0ch2TdwQQQAABBBAIERig4r95Qrds367DwfX+Qt72xdPWPZTXXHxY/6uLPZS5HeyLLwSFRAABBBBAAAEEwgXoCQz34AgBBBBAAAEEEPCFAEGgL6qZQiKAAAIIIIAAAuECBIHhHhwhgAACCCCAAAK+ECAI9EU1U0gEEEAAAQQQQCBcgCAw3IMjBBBAAAEEEEDAFwIEgb6oZgqJAAIIIIAAAgiECxAEhntwhAACCCCAAAII+EKAINAX1UwhEUAAAQQQQACBcIH/D1ze7TYDd68bAAAAAElFTkSuQmCC"></p>
<p>The table shows the data collected by the student. The uncertainty in each measurement of length is ±0.1 cm.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>(i) Outline why OY has a greater percentage uncertainty than OX for each pair of data points.</p>
<p>(ii) The refractive index of the water is given by \(\frac{{{\rm{OX}}}}{{{\rm{OY}}}}\)when OX is small.</p>
<p>Calculate the fractional uncertainty in the value of the refractive index of water for OX = 1.8 cm.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A graph of the variation of OY with OX is plotted.<img src="data:image/png;base64,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"></p>
<p>(i) Draw, on the graph, the error bars for OY when OX = 1.8 cm <strong>and</strong> when OY = 5.8 cm.</p>
<p>(ii) Determine, using the graph, the refractive index of the water in the container for values of OX less than 6.0 cm.</p>
<p>(iii) The refractive index for a material is also given by \(\frac{{\sin i}}{{\sin r}}\) where <em>i</em> is the angle of incidence and <em>r</em> is the angle of refraction.</p>
<p>Outline why the graph deviates from a straight line for large values of OX.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A radio wave of wavelength \(\lambda \) is incident on a conductor. The graph shows the variation with wavelength \(\lambda \) of the maximum distance <em>d</em> travelled inside the conductor.</p>
<p style="text-align: center;"><img 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"></p>
</div>
<div class="specification">
<p>For \(\lambda \) = 5.0 x 10<sup>5</sup> m, calculate the</p>
</div>
<div class="specification">
<p>The graph shows the variation with wavelength \(\lambda \) of <em>d </em><sup>2</sup>. Error bars are not shown and the line of best-fit has been drawn.</p>
<p style="text-align: center;"><img 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"></p>
<p>A student states that the equation of the line of best-fit is <em>d </em><sup>2</sup><sup> </sup>= <em>a</em> + <em>b</em>\(\lambda \). When <em>d </em><sup>2</sup> and \(\lambda \) are expressed in terms of fundamental SI units, the student finds that <em>a</em> = 0.040 x 10<sup>–4</sup> and <em>b</em> = 1.8 x 10<sup>–11</sup>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest why it is unlikely that the relation between<em> d</em> and \(\lambda \) is linear.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>fractional uncertainty in <em>d</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>percentage uncertainty in <em>d </em><sup>2</sup>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the fundamental SI unit of the constant <em>a</em> and of the constant <em>b</em>.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAxYAAABwCAYAAACD++Z9AAAL1UlEQVR4Ae3dX2hkVx0H8N+NSytS8yD7kAx9CLJ090Fr0SBUKmSlbnwQEcEKYozEhz7qSxtcqIKrK9VSEVRUaFAWRBAXUQSTlhjFviy7ZXH7sDuEJQ91koe1lDEP24Wdkfwrd5pMN97MpffM/QSWOXNmzplzPr+bZL6Zmb1Zt9vthi8CBAgQIECAAAECBAgcQWDkCGMNJUCAAAECBAgQIECAwLaAYOFAIECAAAECBAgQIEDgyALH9mbIsmyv6ZIAAQIECBAgQIAAAQIHCvT7JMVbwWLrDlvhot8dD5xVJwECBAgQIECAAAECtRC4V1bwVqhaHAY2SYAAAQIECBAgQKBcAcGiXF+zEyBAgAABAgQIEKiFgGBRizLbJAECBAgQIECAAIFyBQSLcn3NToAAAQIECBAgQKAWAoJFLcpskwQIECBAgAABAgTKFRAsyvU1OwECBAgQIECAAIFaCAgWtSizTRIgQIAAAQIECBAoV0CwKNfX7AQIECBAgAABAgRqISBY1KLMNkmAAAECBAgQIECgXAHBolxfsxMgQIAAAQIECBCohYBgUYsy2yQBAgQIECBAgACBcgUEi3J9zU6AAAECBAgQIECgFgKCRS3KbJMECBAgQIAAAQIEyhUQLMr1NTsBAgQIECBAgACBWggIFrUos00SIECAAAECBAgQKFdAsCjX1+wECBAgQIAAAQIEaiEgWNSizDZJgAABAgQIECBAoFwBwaJcX7MTIECAAAECBAgQqIWAYFGLMtskAQIECBAgQIAAgXIFBItyfc1OgAABAgQIECBAoBYCgkUtymyTBAgQIECAAAECBMoVECzK9TU7AQIECBAgQIAAgVoIDEmwaEfzxR/HbCOLLNv6Nx3zC8vR3Oz0FLHTXIjprBHTC9ej95aeu7lCgAABAgQIECBAgMD/KTAEweKNuPLcl+Pk+XbMXnkzut1u3G19O8b+/o2YOrcS7RzIyENzsdhtxeLcqRiCjed2pkmAAAECBAgQIEDg3RU49u4+/NEfvdO8GGefel+8cGM+PjV+3/aEI+Mn4yNj98f61bXY6ESMShFHhzYDAQIECBAgQIAAgXcQSD5Y7LwKMbe7xU5sNv8RS6+24ubGm++wbTcRIECAAAECBAgQIDBIgcT/lr8VJC7G/OlGZNmHY/a538XSq69HdFpx7cX/xJkvfSJOJL7DQRbbXAQIECBAgAABAgTKEkj7FYv2Spyb+k5sfG8p/vu3D8UDu0pbH9L+5XojHpk47rMUZR055iVAgAABAgQIECCQE0j47/mdaF9+KS6s3x9jE2NvhYqI27H6z7/GUnwwTj64FzVyO9YkQIAAAQIECBAgQGDgAgkHi5EYnXw8ZsZbcemVm7G5TdOO5sXvxpNf/33E+ImYGNv5MPfA1UxIgAABAgQIECBAgECPQMLBIiJGp+KZlZ/Gx//y+Xj/9vkrvhgvvHE6nv3D0zG+vhprG3d6Njvo81jszJdFY36557+17X3Q67Ew3YiscTaW2/3OnnE7mgtPRJZNxvzyrZ7h+SuVfLxIeO2dIa+N/cXWK5jJfm+p32Dr51jY/nVSyd8jjvXBHus8K+sZh6pN/plfeu2su3Xih92vrZPL5a7udbskQIAAAQIECBAgQKDmAvfKCmm/YlHz4to+AQIECBAgQIAAgaoICBZVqYR1ECBAgAABAgQIEEhYQLBIuHiWToAAAQIECBAgQKAqAoJFVSphHQQIECBAgAABAgQSFhAsEi6epRMgQIAAAQIECBCoioBgUZVKWAcBAgQIECBAgACBhAUEi4SLZ+kECBAgQIAAAQIEqiIgWFSlEtZBgAABAgQIECBAIGEBwSLh4lk6AQIECBAgQIAAgaoICBZVqYR1ECBAgAABAgQIEEhYQLBIuHiWToAAAQIECBAgQKAqAoJFVSphHQQIECBAgAABAgQSFhAsEi6epRMgQIAAAQIECBCoioBgUZVKWAcBAgQIECBAgACBhAUEi4SLZ+kECBAgQIAAAQIEqiIgWFSlEtZBgAABAgQIECBAIGEBwSLh4lk6AQIECBAgQIAAgaoICBZVqYR1ECBAgAABAgQIEEhYQLBIuHiWToAAAQIECBAgQKAqAoJFVSphHQQIECBAgAABAgQSFhAsEi6epRMgQIAAAQIECBCoioBgUZVKWAcBAgQIECBAgACBhAUEi4SLZ+kECBAgQIAAAQIEqiIgWFSlEtZBgAABAgQIECBAIGEBwSLh4lk6AQIECBAgQIAAgaoICBZVqYR1ECBAgAABAgQIEEhYQLBIuHiWToAAAQIECBAgQKAqAsMRLNrLMd9oxPTC9ehURdY6CBAgQIAAAQIECNRIYCiCRWdjLa6uN+KRieMxFBuq0QFoqwQIECBAgAABAsMhMATPwzux+dpqXBs/E9OTHxiOqtgFAQIECBAgQIAAgcQEhiBYvB6XF5di/eTdWFt6PmYbWWRZI07PX4zmZu8bozrNhZjOvGUqsWPUcgkQIECAAAECBBIQSD9YdG7F2tVWxMrVuDHy2fhZqxt3W7+JRy89HU/+4nJs5oow8tBcLHZbsTh3ylumci6aBAgQIECAAAECBI4qkH6w2GzFjWsRUz86F8984VQ8EBEj45+Mr818NFae/2Ncave+anFUMOMJECBAgAABAgQIENgvkHiw6ET78ktxYf2xmPncw9uhomeL66uxtnGnp8sVAgQIECBAgAABAgQGL5B4sLgTG2ursX7mM/HYiffu1xk/ERNj9+3v10OAAAECBAgQIECAwEAFEg8Wm/HajZsHgOz0j888HpOjiW/xgN3pIkCAAAECBAgQIFA1gbSfdbf/FYsXruwz7TT/FM/+MGJm+uEY3XerDgIECBAgQIAAAQIEBi2QdLDYOTHeVHx17OX49cq/t8+63Vl/OX7y/Z/HnW/9IL45dXzQXuYjQIAAAQIECBAgQOAAgYSDxd6J8R6N2fNPxelXzsaDWRbv+div4u5Xfht/Pv/pGH/b7gZ9Houd+bJozC9H+wDc7a7O9ViYbkTWOBvLff+HqtvRXHgismwy5pdv9ZspKvl4kfDah7029hfh+Nz5MbR9Dh8/q5L9Oet72ffy7jODSj4PcHwe+viMQ1n1fRqYxA1Zt9vt7q00y7LIXd3rdkmAAAECBAgQIECAQM0F7pUV3vY3/Zpr2T4BAgQIECBAgAABAoUEBItCbAYRIECAAAECBAgQIJAXECzyGtoECBAgQIAAAQIECBQSECwKsRlEgAABAgQIECBAgEBeQLDIa2gTIECAAAECBAgQIFBIQLAoxGYQAQIECBAgQIAAAQJ5AcEir6FNgAABAgQIECBAgEAhAcGiEJtBBAgQIECAAAECBAjkBQSLvIY2AQIECBAgQIAAAQKFBASLQmwGESBAgAABAgQIECCQFxAs8hraBAgQIECAAAECBAgUEhAsCrEZRIAAAQIECBAgQIBAXkCwyGtoEyBAgAABAgQIECBQSECwKMRmEAECBAgQIECAAAECeQHBIq+hTYAAAQIECBAgQIBAIQHBohCbQQQIECBAgAABAgQI5AUEi7yGNgECBAgQIECAAAEChQQEi0JsBhEgQIAAAQIECBAgkBcQLPIa2gQIECBAgAABAgQIFBIQLAqxGUSAAAECBAgQIECAQF5AsMhraBMgQIAAAQIECBAgUEhAsCjEZhABAgQIECBAgAABAnkBwSKvoU2AAAECBAgQIECAQCEBwaIQm0EECBAgQIAAAQIECOQFBIu8hjYBAgQIECBAgAABAoUEBItCbAYRIECAAAECBAgQIJAXECzyGtoECBAgQIAAAQIECBQSECwKsRlEgAABAgQIECBAgEBeQLDIa2gTIECAAAECBAgQIFBIQLAoxGYQAQIECBAgQIAAAQJ5gazb7Xa3OrIsy/drEyBAgAABAgQIECBAYJ/AbnzY139sr6ffHfZud0mAAAECBAgQIECAAIF+At4K1U9GPwECBAgQIECAAAEChxYQLA5N5Y4ECBAgQIAAAQIECPQTECz6yegnQIAAAQIECBAgQODQAv8DiqEpNWxqncgAAAAASUVORK5CYII="></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the distance travelled inside the conductor by very high frequency electromagnetic waves.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A student measures the refractive index of the glass of a microscope slide.</p>
<p>He uses a travelling microscope to determine the position <em>x</em><sub>1</sub> of a mark on a sheet of paper. He then places the slide over the mark and finds the position <em>x</em><sub>2</sub> of the image of the mark when viewed through the slide. Finally, he uses the microscope to determine the position <em>x</em><sub>3</sub> of the top of the slide.</p>
<p><img 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" alt></p>
<p>The table shows the average results of a large number of repeated measurements.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The refractive index of the glass from which the slide is made is given by<br>\[\frac{{{x_3} - {x_1}}}{{{x_3} - {x_2}}}\].</p>
<p>Determine</p>
<p>(i) the refractive index of the glass to the correct number of significant figures, ignoring any uncertainty.</p>
<p>(ii) the uncertainty of the value calculated in (a)(i).</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>After the experiment, the student finds that the travelling microscope is badly adjusted so that the measurement of each position is too large by 0.05mm.</p>
<p>(i) State the name of this type of error.</p>
<p>(ii) Outline the effect that the error in (b)(i) will have on the calculated value of the refractive index of the glass.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>After correcting the adjustment of the travelling microscope, the student repeats the experiment using a glass block 10 times thicker than the original microscope slide. Explain the change, if any, to the calculated result for the refractive index and its uncertainty.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A student investigates the oscillation of a horizontal rod hanging at the end of a vertical string. The diagram shows the view from above.<br><img 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" alt></p>
<p>The student starts the rod oscillating and measures the largest displacement for each cycle of the oscillation on the scale and the time at which it occurs. The student begins to take measurements a few seconds after releasing the rod.</p>
<p>The graph shows the variation of displacement <em>x</em> with time <em>t</em> since the release of the rod. The uncertainty for <em>t</em> is negligible.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the graph above, draw the line of best fit for the data.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the percentage uncertainty for the displacement when <em>t</em>=40s.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The student hypothesizes that the relationship between <em>x</em> and <em>t</em> is \(x = \frac{a}{t}\) where <em>a</em> is a constant.<br>To test the hypothesis <em>x</em> is plotted against \(\frac{1}{t}\) as shown in the graph.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(i) The data point corresponding to <em>t</em>=15s has not been plotted. Plot this point on the graph above.</p>
<p>(ii) Suggest the range of values of <em>t</em> for which the hypothesis may be assumed to be correct.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br>