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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level *7714514366* PHYSICS 9702/21 Paper…

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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level *7714514366* PHYSICS 9702/21 Paper 2 AS Structured Questions October/November 2010 1 hour 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 For Examiner’s Use question. 1 2 3 4 5 6 7 Total This document consists of 15 printed pages and 1 blank page. DC (NF/SW) 23601/3 © UCLES 2010 [Turn over 2 Data speed of light in free space, c = 3.00 × 10 8 m s –1 permeability of free space, μ0 = 4π × 10 –7 H m–1 permittivity of free space, ε0 = 8.85 × 10 –12 F m–1 elementary charge, e = 1.60 × 10 –19 C the Planck constant, h = 6.63 × 10 –34 J s unified atomic mass constant, u = 1.66 × 10 –27 kg rest mass of electron, me = 9.11 × 10 –31 kg rest mass of proton, mp = 1.67 × 10 –27 kg molar gas constant, R = 8.31 J K –1 mol –1 the Avogadro constant, NA = 6.02 × 10 23 mol –1 the Boltzmann constant, k = 1.38 × 10 –23 J K –1 gravitational constant, G = 6.67 × 10 –11 N m 2 kg –2 acceleration of free fall, g = 9.81 m s –2 © UCLES 2010 9702/21/O/N/10 3 Formulae uniformly accelerated motion, s = ut + at 2 v 2 = u 2 + 2as work done on/by a gas, W = p ⌬V Gm gravitational potential, φ =– r hydrostatic pressure, p = ρgh Nm 2 pressure of an ideal gas, p = V c simple harmonic motion, a = – ω 2x velocity of particle in s.h.m., v = v0 cos ωt v = ± ω √⎯(x⎯ 0⎯ 2 ⎯ –⎯ x⎯ ⎯ 2⎯ ) Q electric potential, V = 4πε0r capacitors in series, 1/C = 1/C1 + 1/C2 + . . . capacitors in parallel, C = C1 + C2 + . . . energy of charged capacitor, W = QV resistors in series, R = R1 + R2 + . . . resistors in parallel, 1/R = 1/R1 + 1/R2 + . . . alternating current/voltage, x = x0 sin ω t radioactive decay, x = x0 exp(– λt ) 0.693 decay constant, λ = t © UCLES 2010 9702/21/O/N/10 [Turn over 4 Answer all the questions in the spaces provided. For Examiner’s Use 1 (a) Two of the SI base quantities are mass and time. State three other SI base quantities. 1. ...................................................................................................................................... 2. ...................................................................................................................................... 3. ...................................................................................................................................... [3] (b) A sphere of radius r is moving at speed v through air of density ρ. The resistive force F acting on the sphere is given by the expression F = Br 2ρv k where B and k are constants without units. (i) State the SI base units of F, ρ and v. F .............................................................................................................................. ρ .............................................................................................................................. v .............................................................................................................................. [3] (ii) Use base units to determine the value of k. k = ................................................ [2] © UCLES 2010 9702/21/O/N/10 5 BLANK PAGE Please turn over for Question 2. © UCLES 2010 9702/21/O/N/10 [Turn over 6 2 A ball is thrown horizontally from the top of a building, as shown in Fig. 2.1. For Examiner’s Use 8.2 m s–1 60° P x Fig. 2.1 The ball is thrown with a horizontal speed of 8.2 m s–1. The side of the building is vertical. At point P on the path of the ball, the ball is distance x from the building and is moving at an angle of 60° to the horizontal. Air resistance is negligible. (a) For the ball at point P, (i) show that the vertical component of its velocity is 14.2 m s–1, [2] (ii) determine the vertical distance through which the ball has fallen, distance = ............................................ m [2] © UCLES 2010 9702/21/O/N/10 7 (iii) determine the horizontal distance x. For Examiner’s Use x = ............................................ m [2] (b) The path of the ball in (a), with an initial horizontal speed of 8.2 m s–1, is shown again in Fig. 2.2. 8.2 m s–1 Fig. 2.2 On Fig. 2.2, sketch the new path of the ball for the ball having an initial horizontal speed (i) greater than 8.2 m s–1 and with negligible air resistance (label this path G), [2] (ii) equal to 8.2 m s–1 but with air resistance (label this path A). [2] © UCLES 2010 9702/21/O/N/10 [Turn over 8 3 (a) State the relation between force and momentum. For Examiner’s .................................................................................................................................... [1] Use (b) A rigid bar of mass 450 g is held horizontally by two supports A and B, as shown in Fig. 3.1. ball 45 cm C A B 50 cm 25 cm Fig. 3.1 The support A is 45 cm from the centre of gravity C of the bar and support B is 25 cm from C. A ball of mass 140 g falls vertically onto the bar such that it hits the bar at a distance of 50 cm from C, as shown in Fig. 3.1. The variation with time t of the velocity v of the ball before, during and after hitting the bar is shown in Fig. 3.2. 6 4 velocity downwards / m s–1 2 0 0 0.2 0.4 0.6 0.8 1.0 1.2 time / s –2 –4 –6 Fig. 3.2 © UCLES 2010 9702/21/O/N/10 9 For the time that the ball is in contact with the bar, use Fig. 3.2 For Examiner’s (i) to determine the change in momentum of the ball, Use change = .................................. kg m s–1 [2] (ii) to show that the force exerted by the ball on the bar is 33 N. [1] (c) For the time that the ball is in contact with the bar, use data from Fig. 3.1 and (b)(ii) to calculate the force exerted on the bar by (i) the support A, force = ............................................ N [3] (ii) the support B. force = ............................................ N [2] © UCLES 2010 9702/21/O/N/10 [Turn over 10 4 (a) A uniform wire has length L and constant area of cross-section A. For The material of the wire has Young modulus E and resistivity ρ. Examiner’s A tension F in the wire causes its length to increase by DL. Use For this wire, state expressions, in terms of L, A, F, DL and ρ for (i) the stress σ, ............................................................................................................................ [1] (ii) the strain ε, ............................................................................................................................ [1] (iii) the Young modulus E, ............................................................................................................................ [1] (iv) the resistance R. ............................................................................................................................ [1] (b) One end of a metal wire of length 2.6 m and constant area of cross-section 3.8 × 10–7 m2 is attached to a fixed point, as shown in Fig. 4.1. wire 2.6 m load 30 N Fig. 4.1 © UCLES 2010 9702/21/O/N/10 11 The Young modulus of the material of the wire is 7.0 × 1010 Pa and its resistivity For is 2.6 × 10–8 Ω m. Examiner’s A load of 30 N is attached to the lower end of the wire. Assume that the area of Use cross-section of the wire does not change. For this load of 30 N, (i) show that the extension of the wire is 2.9 mm, [1] (ii) calculate the change in resistance of the wire. change = ............................................ Ω [2] (c) The resistance of the wire changes with the applied load. Comment on the suggestion that this change of resistance could be used to measure the magnitude of the load on the wire. .......................................................................................................................................... .......................................................................................................................................... .................................................................................................................................... [2] © UCLES 2010 9702/21/O/N/10 [Turn over 12 5 (a) State what is meant by the diffraction of a wave. For Examiner’s .......................................................................................................................................... Use .......................................................................................................................................... .................................................................................................................................... [2] (b) Plane wavefronts are incident on a slit, as shown in Fig. 5.1. slit Fig. 5.1 Complete Fig. 5.1 to show four wavefronts that have emerged from the slit. [2] © UCLES 2010 9702/21/O/N/10 13 (c) Monochromatic light is incident normally on a diffraction grating having 650 lines per For millimetre, as shown in Fig. 5.2. Examiner’s Use third order second order first order monochromatic zero order light first order grating second order third order Fig. 5.2 An image (the zero order) is observed for light that has an angle of diffraction equal to zero. For incident light of wavelength 590 nm, determine the number of orders of diffracted light that can be observed on each side of the zero order. number = ................................................ [3] (d) The images in Fig. 5.2 are viewed, starting with the zero order and then with increasing order number. State how the appearance of the images changes as the order number increases. .......................................................................................................................................... .................................................................................................................................... [1] © UCLES 2010 9702/21/O/N/10 [Turn over 14 6 (a) A lamp is rated as 12 V, 36 W. For Examiner’s (i) Calculate the resistance of the lamp at its working temperature. Use resistance = ............................................ Ω [2] (ii) On the axes of Fig. 6.1, sketch a graph to show the current-voltage (I–V ) characteristic of the lamp. Mark an appropriate scale for current on the y-axis. I/A 0 6 12 V/V Fig. 6.1 [3] © UCLES 2010 9702/21/O/N/10 15 (b) Some heaters are each labelled 230 V, 1.0 kW. The heaters have constant resistance. For Examiner’s Determine the total power dissipation for the heaters connected as shown in each of the Use diagrams shown below. (i) 230 V power = .......................................... kW [1] (ii) 230 V power = .......................................... kW [1] (iii) 230 V power = .......................................... kW [2] © UCLES 2010 9702/21/O/N/10 [Turn over 16 7 (a) Uranium (U) has at least fourteen isotopes. For Explain what is meant by isotopes. Examiner’s Use .......................................................................................................................................... .......................................................................................................................................... .................................................................................................................................... [2] (b) One possible nuclear reaction involving uranium is 235U + 10n 141Ba + 92Kr + x 10n + energy. 92 56 Z (i) State three quantities that are conserved in a nuclear reaction. 1. ............................................................................................................................... .................................................................................................................................. 2. ............................................................................................................................... .................................................................................................................................. 3. ............................................................................................................................... .................................................................................................................................. [3] (ii) For this reaction, determine the value of 1. Z, Z = ................................................ [1] 2. x. x = ................................................ [1] 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 2010 9702/21/O/N/10

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