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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Level

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PHYSICS Paper 5 Planning, Analysis and Evaluation 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.

9702/05
May/June 2009 1 hour 15 minutes

For Examiner’s Use 1 2 Total

This document consists of 8 printed pages.
SPA (SJF5063/CG) T76306/2 © UCLES 2009

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2 1 A student wishes to determine the Young modulus E of wood from the period of oscillation of a loaded wooden rule, as shown in Fig. 1.1. fixed end
For Examiner’s Use

load

l

Fig. 1.1 An equation relating the period of oscillation T to the overhanging length l of the rule is T2 = The constant k is given by k= 16π 2M wd 3 kl 3 . E

where M is the mass of the load, w is the width of the rule and d is the thickness of the rule. Design a laboratory experiment to determine the Young modulus of wood. You should draw a diagram 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) how to analyse the data, (e) how to determine E, (f) the safety precautions to be taken. [15]

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3 Diagram
For Examiner’s Use

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© UCLES 2009 9702/05/M/J/09

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4
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5 2 An experiment is carried out to investigate how the current I required to melt a wire varies with the diameter d of the wire. The equipment is set up as shown in Fig. 2.1.
For Examiner’s Use

A

wire Fig. 2.1

Question 2 continues on the next page.

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6 It is suggested that I and d are related by the equation I = pd where p and q are constants. (a) A graph is plotted with lg I on the y-axis and lg d on the x-axis. Express the gradient and y-intercept in terms of p and q. q For Examiner’s Use

gradient = ………………………………… y-intercept = ………………………………… [1] (b) Values of d and I are given in Fig. 2.2. d / 10–5 m 15 19 23 27 31 I/A 2.6 ± 0.1 3.5 ± 0.1 4.4 ± 0.1 5.4 ± 0.1 6.4 ± 0.1 Fig. 2.2 Calculate and record values of lg (d / 10–5 m) and lg (I / A) in Fig. 2.2. Include in the table the absolute errors in lg (I / A). [3] (c) (i) (ii) (iii) Plot a graph of lg (I / A) against lg (d / 10–5 m). Include error bars for lg (I/ A). [2] lg (d / 10–5 m) lg (I / A)

Draw the line of best fit and a worst acceptable straight line on your graph. Both lines should be clearly labelled. [2] Determine the gradient of the line of best fit. Include the error in your answer.

gradient = ………………………………… [2]

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7 0.85
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0.80 lg (I / A) 0.75

0.70

0.65

0.60

0.55

0.50

0.45

0.40

0.35 1.15

1.20

1.25

1.30

1.35

1.40
-5

1.45

1.50

lg (d / 10 m)

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8 (iv) Determine the y-intercept of the line of best fit. Include the error in your answer.
For Examiner’s Use

y-intercept = ………………………………… [2] (d) Using your answers to (c)(iii) and (c)(iv), determine the values of p and q. Include the error in your values. You need not give the units of p and q.

p = ………………………………… q = ………………………………… [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 2009

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