Cambridge A Level Physics 9702 — 2004 Oct/Nov Paper 3 · Variant 1

This document consists of 7 printed pages and 1 blank page. SP (NF/SLM) S63119/3 © UCLES 2004 [Turn over UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level PHYSICS 9702/03 Paper 3 Practical Test October/November 2004 1 hour 15 minutes Candidates answer on the Question Paper. Additional Materials: As specified in the Confidential Instructions 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 in the spaces provided on the Question Paper. You may use a soft pencil for any diagrams, graphs or rough working. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer the one question. You are expected to record all your observations as soon as they are made, and to plan the presentation of the records so that it is not necessary to make a fair copy of them. The working of the answers is to be handed in. Marks are mainly given for a clear record of the observations actually made, for their suitability and accuracy, and for the use made of them. Additional answer paper and graph paper should be submitted only if it becomes necessary to do so. You are reminded of the need for good English and clear presentation in your answers. At the end of the examination, fasten all your work securely together. Centre Number Candidate Number Name For Examiner’s Use If you have been given a label, look at the details. If any details are incorrect or missing, please fill in your correct details in the space given at the top of this page. Stick your personal label here, if provided.

2 9702/03/O/N/04 1 In this experiment you will investigate the oscillations of a pendulum with a yielding support. (a) (i) Tie the end of the thread to a hole in the end of the hacksaw blade so that the length l of the pendulum is about 0.5 m. Record the value of l. l = … m (ii) Place the blade between the two blocks of wood and tighten the wing nuts so that the blade is held firmly. (iii) Clamp the wooden blocks to the bench so that the blade protrudes horizontally from the wooden blocks as shown in Fig. 1.1. The length d from the blocks to the thread should be 0.24 m. Fig. 1.1 l d wing nut wing nut For Examiner’s Use © UCLES 2004

3 9702/03/O/N/04 [Turn over (b) (i) Measure and record the value of d. d = … (ii) Determine the percentage uncertainty in this value of d. % uncertainty in d = … (c) (i) Gently displace the pendulum so that it performs small oscillations in a vertical plane perpendicular to the blade, as shown in Fig. 1.2. Fig. 1.2 (ii) Make and record measurements to determine the period T of these oscillations. T = … For Examiner’s Use © UCLES 2004

4 9702/03/O/N/04 (d) Adjust the position of the blade to give a new value of d and repeat (b)(i) and (c) until you have a total of six sets of readings for d and T, where 7.0 cm < d < 24.0 cm. Include the values of T 2 and d 3 in your table of results below. (e) (i) Plot a graph of T 2 (y-axis) against d 3 (x-axis). (ii) Draw the line of best fit. (iii) Determine the gradient and y-intercept of this line. gradient = … y-intercept = … For Examiner’s Use © UCLES 2004

5 9702/03/O/N/04 [Turn over For Examiner’s Use © UCLES 2004

6 9702/03/O/N/04 (f) Theory suggests that T and d are related by the equation T 2 = kd3 + , where g is the acceleration of free fall and k is a constant. Use your answers from (e)(iii) and the value of l to find values for k and g. Include appropriate units in each case. k = … g = … (g) A clockmaker wishes to make a pendulum clock whose pendulum has a period of two seconds. Calculation shows that the length of a pendulum of this period with a fixed support would be about one metre. The clockmaker wants to make a small case, and therefore considers using a pendulum with a yielding support. (i) Use the results of your experiment to calculate a value for d that would give a period of two seconds for the pendulum you have used. d = … 4π2l g For Examiner’s Use © UCLES 2004

7 9702/03/O/N/04 (ii) Use your answer to (i) to suggest whether the use of a yielding support would save space. … … … … For Examiner’s Use © UCLES 2004

8 9702/03/O/N/04 BLANK PAGE Every reasonable effort has been made to trace all copyright holders. The publishers would be pleased to hear from anyone whose rights we have unwittingly infringed. University of Cambridge International Examinations is part of the University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS GCE Advanced Subsidiary and Advanced Level MARK SCHEME for the November 2004 question paper 9702 PHYSICS 9702/03 Paper 3 (Practical Test), maximum raw mark 25 This mark scheme is published as an aid to teachers and students, to indicate the requirements of the examination. This shows the basis on which Examiners were initially instructed to award marks. It does not indicate the details of the discussions that took place at an Examiners’ meeting before marking began. Any substantial changes to the mark scheme that arose from these discussions will be recorded in the published Report on the Examination. All Examiners are instructed that alternative correct answers and unexpected approaches in candidates’ scripts must be given marks that fairly reflect the relevant knowledge and skills demonstrated. Mark schemes must be read in conjunction with the question papers and the Report on the Examination. • CIE will not enter into discussion or correspondence in connection with these mark schemes. CIE is publishing the mark schemes for the November 2004 question papers for most IGCSE and GCE Advanced Level syllabuses.

Grade thresholds taken for Syllabus 9702 (Physics) in the November 2004 examination. minimum mark required for grade: maximum mark available A B E Component 3 25 22 20 14 The thresholds (minimum marks) for Grades C and D are normally set by dividing the mark range between the B and the E thresholds into three. For example, if the difference between the B and the E threshold is 24 marks, the C threshold is set 8 marks below the B threshold and the D threshold is set another 8 marks down. If dividing the interval by three results in a fraction of a mark, then the threshold is normally rounded down.

November 2004 GCE A AND AS LEVEL MARK SCHEME MAXIMUM MARK: 25 SYLLABUS/COMPONENT: 9702/03 PHYSICS Paper 3 (Practical Test)

Page 1 Mark Scheme Syllabus Paper A and AS LEVEL – NOVEMBER 2004 9702 3 © University of Cambridge International Examinations 2005 1 (b) Uncertainty = 1 mm (i.e. 0.5 mm at each end) 1 Percentage uncertainty in first value of d 1 (i.e. ratio correct and x 100) If working not clear (e.g. bald 0.4% to 0.5%), then 1/2 in this section (c) (ii) Repeated readings in first set of measurements There must be at least two values of t. 1 (d) Readings 3 Expect to see 6 sets of raw readings (1 mark). Write the number of readings as a ringed total by the table. Check a value for T 2. Underline checked value and tick if correct (1 mark). If the number of oscillations has not been recorded, do not award this mark. If T 2 incorrect, write in correct value. Ignore small rounding errors. Check a value for d 3. Underline this value and tick if correct (1 mark). If incorrect, write in correct value. Ignore small rounding errors. Minor help given by Supervisor, then -1. Excessive help then -2. Reasonable time used for oscillations 1 At least half of the raw times must be greater than 20 s. Quality of results 1 Judge by scatter of points about the line of best fit. This mark may be scored for 5 trend plots with small scatter. Wrong trend/curved trend will not score this mark. This mark can only be scored if the plotted points occupy more than 2 large squares in the y-direction. Column headings 2 Apply to T 2 and d 3 only. One mark each. The headings must contain a quantity and a unit Consistency in raw values 2 Apply to t and d only. One mark each All the values of t should be given to the nearest 0.01 s or 0.1 s. All the values of d must be given to the nearest millimetre. Significant figures 2 Apply to T 2 and d 3 only. One mark each. All the values of T 2 must be given to 3 or 4 s.f. If d given to 1 s.f., then accept d 3 to 1 or 2 s.f. If d given to 2 s.f., then accept d 3 to 2 or 3 s.f. If d given to 3 s.f., then accept d 3 to 3 or 4 s.f. Check each value by row in the table.

Page 2 Mark Scheme Syllabus Paper A and AS LEVEL – NOVEMBER 2004 9702 3 © University of Cambridge International Examinations 2005 (e) Axes 1 Scales must be such that the plotted points occupy at least half the graph grid in both the x and y directions. Scales must be labelled with the quantity plotted. Ignore units. Do not allow awkward scales (e.g. 3:10, 6:10, 7:10 8:10 etc.). There must be no more than 3 large squares without a scale marking. Plotting of points 1 Write the number of plots as a ringed total on the graph grid. All observations must be plotted. Check a suspect plot. Circle and tick if correct. If incorrect, show correct position with arrow, and -1. Work to half a small square. Line of best fit 1 There must be a reasonable balance of points about the line of best fit. Allow one ‘off trend’ plot to be ignored. Only allow a straight line through a linear trend. Determination of gradient 1 ∆ used must be greater than half the length of the drawn line. ∆x/∆y scores zero. Check the read-offs. Do not allow tangents to curves. y-intercept 1 The value may be read directly or calculated using y = mx + c and a point on the line. Work to half a small square. (f) Gradient equated with k 1 Do not award this mark if wrong graph (e.g. T vs d, d 3 vs T 2 etc.) Value of k with unit (e.g. s2 m-3 or s2 cm-3) 1 Unit must be consistent with value. Any POT error will not score this mark. Intercept equated with g l 4 2 π 1 Value of g with unit (e.g. m s-2 or cm s-2) 1 This mark is conditional on the previous mark being scored. Unit must be consistent with value. Value should be 19.7/y-intercept. Method of working must be correct. Simultaneous equation method can score 1 mark if the units of k and g are correct.

Page 3 Mark Scheme Syllabus Paper A and AS LEVEL – NOVEMBER 2004 9702 3 © University of Cambridge International Examinations 2005 (g) (i) Calculation of d when T = 2 s 1 Method of working must be correct. A final numerical answer is expected (ii) d too large for case (approx 45 cm width). 1 Accept sensible answers consistent with candidate's result from (g) (i). Be generous. Accept values to 0.50 m as small. Some justification needed. 25 marks in total