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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Level * 1 9 3 5 2 3 9 1 1 5 * PHYSICS 9702/53 Paper 5 Planning,…
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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Level * 1 9 3 5 2 3 9 1 1 5 * PHYSICS 9702/53 Paper 5 Planning, Analysis and Evaluation May/June 2012 1 hour 15 minutes Candidates answer on the Question Paper. No Additional Materials are required. READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use a soft pencil for any diagrams, graphs or rough working. Do not use staples, paper clips, highlighters, glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer all questions. You may lose marks if you do not show your working or if you do not use appropriate units. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. For Examiner’s Use 1 2 Total This document consists of 8 printed pages. DC (KN/SW) 56772 © UCLES 2012 [Turn over 2 1 A fairground ride carries passengers in chairs which are attached by metal rods to a rotating For central pole, as shown in Fig 1.1. When the pole rotates with angular velocity ω, the rods Examiner’s make an angle θ to the vertical. Use ω θ rotating pole metal rod Fig 1.1 It is suggested that cos θ is inversely proportional to ω2. Design a laboratory experiment, using a small object to represent an occupied chair, to test the relationship between θ and ω. You should draw a diagram, on page 3, showing the arrangement of your equipment. In your account you should pay particular attention to (a) the procedure to be followed, (b) the measurements to be taken, (c) the control of variables, (d) the analysis of the data, (e) the safety precautions to be taken. [15] © UCLES 2012 9702/53/M/J/12 3 Diagram For Examiner’s Use ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ © UCLES 2012 9702/53/M/J/12 [Turn over 4 For ......................................................................................................................................................... Examiner’s Use ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... Defining the Methods of Method of Safety Additional For problem data collection analysis considerations detail Examiner’s Use © UCLES 2012 9702/53/M/J/12 5 2 A current-carrying wire is clamped at each end, as shown in Fig 2.1. A student investigates For how the deflection y at the centre of the wire varies with the current I. Examiner’s Use to to I circuit circuit y Fig. 2.1 For different currents, the deflection is recorded. Question 2 continues on the next page. © UCLES 2012 9702/53/M/J/12 [Turn over 6 It is suggested that y and I are related by the equation For Examiner’s y = sI r Use where r and s are constants. (a) A graph is plotted of lg y on the y-axis against lg I on the x-axis. Determine expressions for the gradient and y-intercept in terms of r and s. gradient = .................................................. y-intercept = .................................................. [1] (b) Values of I and y are given in Fig. 2.2. I / 10–2 A y / mm lg (I / 10–2 A) lg (y / mm) 50 2.6 ± 0.2 60 3.4 ± 0.2 70 4.4 ± 0.2 80 5.4 ± 0.2 90 6.6 ± 0.2 95 7.2 ± 0.2 Fig. 2.2 Calculate and record values of lg (I / 10–2 A) and lg (y / mm) in Fig. 2.2. Include the absolute uncertainties in lg (y / mm). [3] (c) (i) Plot a graph of lg (y / mm) against lg (I / 10–2 A). Include error bars for lg (y / mm).[2] (ii) Draw the straight line of best fit and a worst acceptable straight line on your graph. Both lines should be clearly labelled. [2] (iii) Determine the gradient of the line of best fit. Include the uncertainty in your answer. gradient = .................................................. [2] © UCLES 2012 9702/53/M/J/12 7 0.90 For Examiner’s Use 0.85 0.80 lg (y / mm) 0.75 0.70 0.65 0.60 0.55 0.50 0.45 0.40 0.35 1.65 1.70 1.75 1.80 1.85 1.90 1.95 2.00 lg (I / 10–2A) © UCLES 2012 9702/53/M/J/12 [Turn over 8 (iv) Determine the y-intercept of the line of best fit. Include the uncertainty in your For answer. Examiner’s Use y-intercept = .................................................. [2] (d) Using your answers to (c)(iii) and (c)(iv), determine values for r and s. Include the uncertainties in your answers. You need not be concerned with the units of r and s. r = .................................................. s = .................................................. [3] Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. University of Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge. © UCLES 2012 9702/53/M/J/12
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