(VJC) 2024 H2 Prelim P3

VICTORIA JUNIOR COLLEGE 2024 JC2 PRELIMINARY EXAMINATION Higher 2 Name : __________________________ CT group : ________________ PHYSICS Paper 3 Longer Structured Questions Candidates answer on the Question Paper. No Additional Materials are required. 9749/03 17 September 2024 TUESDAY 8 am to 10 am (2 hours) READ THESE INSTRUCTIONS FIRST Write your name and Civics Group in the spaces at the top of this page. Write in dark blue or black pen on both sides of the paper. You may use an HB pencil for any diagrams, graphs or rough working. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE ON ANY BARCODES. The use of an approved scientific calculator is expected, where appropriate. Section A Answer all questions. Section B Answer one question only. You are advised to spend one and a half hours on Section A and half an hour on Section B. The number of marks is given in brackets [ ] at the end of each question or part question. For Examiner’s use Question Mark Section A 1 2 3 4 5 6 7 Section B 8 9 g Units sf Total / 80 This document consists of 27 printed pages and 1 blank page

2 Data speed of light in free space c = 3.00 × 108 m s-1 permeability of free space µo = 4 × 10-7 H m-1 permittivity of free space o = 8.85 × 10-12 F m-1 (1/(36)) × 10-9 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 mol-1 K-1 the Avogadro constant NA = 6.02 × 1023 mol-1 the Boltzmann constant k = 1.38 × 10-23 J K-1 gravitational constant G = 6.67 × 10-11 N m2 kg-2 acceleration of free fall g = 9.81 m s-2

3 Formulae uniformly accelerated motion s = ut + (½) at2 v2 = u2 + 2as work done on/by a gas W = pV hydrostatic pressure p = gh gravitational potential GM r =− temperature o/ K / C 273.15TT =+ pressure of an ideal gas 21 3 Nmpc V= mean translational kinetic energy of an ideal gas molecule 3 2E kT= displacement of particle in s.h.m. x = xo sin  t velocity of particle in s.h.m. 0 cos tvv = 22 0x x=  − electric current I = Anvq resistors in series R = R1 + R2 + … resistors in parallel 1/R = 1/R1 + 1/R2+ … electric potential 04 QV r= alternating current/voltage x = xo sin  t Magnetic flux density due to a long straight wire 0 2B d I = Magnetic flux density due to a flat circular coil 0 2 NIB r = Magnetic flux density due to a long solenoid 0B nI= radioactive decay x = xoexp(-t) decay constant 1/2 ln2 t =

4 Section A Answer all the questions in this section in the spaces provided. 1. A sphere is projected horizontally. The sphere is photographed onto the same film negative at intervals of 0.10 0 s with an uncertainty of 0.001 s. The 7 images of the sphere are shown against a grid in Fig. 1.1. The actual uncertainty for the distances measured is 0.1 cm. Air resistance is negligible. Fig. 1.1 (a) Use Fig.1.1 to determine the acceleration g of the sphere. [2] g = …………………………. Horizontal distance/ m Vertical distance/ m

5 (b) Explain how your choice of the data point from Fig 1.1 helps to improve the reliability of your calculation in (a). [1] ………………………………………………………………………………………………… ………………………………………………………………………………………………… (c) Use your answer in (a) to determine the actual uncertainty in the value of g. Hence give a statement of g, with its uncertainty, to an appropriate number of significant figures. [4] g = …………….  …………………. (d) Using existing data, explain how you can improve the accuracy of g obtained by plotting a different graph. Explain why this new method is more accurate. [2] ………………………………………………………………………………………………… ………………………………………………………………………………………………… ………………………………………………………………………………………………… …………………………………………………………………………………………………

6 2(a) Student A claims, “When a ball hits and rebounds off a wall, there is impulse on the ball, but not on the wall because the wall does not move.” Discuss whether Student A is correct. [2] ………………………………………………………………………………………………… ………………………………………………………………………………………………… (b) A ball B of mass 1.2 kg travelling at constant velocity collides head-on with a stationary ball S of mass 3.6 kg, as shown in Fig. 2.1. Frictional forces are negligible. The variation with time t of the velocity v of ball B before, during and after colliding with ball S is shown in Fig. 2.2. Fig. 2.1 Fig. 2.2 ball B ball S

7 (i) Using Fig. 2.2, explain whether momentum is conserved in this collision. [3] (ii) Determine quantitatively whether the collision is elastic or inelastic. [2]

8 3(a) A beam of vertically polarized light is incident normally on a polarizing filter, as shown in Fig 3.1 Fig 3.1 (i) The transmission axis of the filter is initially vertical. The filter is then rotated through an angle of 360° while the plane of the filter remains perpendicular to the beam. On Fig 3.2, sketch a graph to show the variation of the intensity of the light in the transmitted beam with the angle through which the transmission axis is rotated. [1] Fig 3.2 (ii) The intensity of the light in the incident beam is 7.6 W m-2. When the transmission axis of the filter is at angle θ to the vertical, the light intensity of the transmitted beam is 4.2 W m-2. Calculate the angle θ. [2]  = ………………………….

9 (b) State what is meant by the diffraction of a wave. [2] ………………………………………………………………………………………………… ………………………………………………………………………………………………… ………………………………………………………………………………………………… ………………………………………………………………………………………………… (c) A beam of light wavelength 4.3 x 10-7 m is incident normally on a diffraction grating in air, as shown in Fig 3.3. Fig 3.3 The third-order diffraction maximum of the light is at an angle of 68° to the direction of the incident light beam. (i) Calculate the line spacing a of the diffraction grating. [2] a = …………………………

10 (ii) Determine a different wavelength of visible light that will also produce a diffraction maximum at an angle of 68°. [2] Wavelength = …………………………..