AJC H2 PHY P3

1 9749/03/AJC/2017Prelim [Turn Over Name: _____________________________ ( ) PDG: ______/ 16 2017 JC2 Preliminary Examination PHYSICS Higher 2 9749/03 Paper 3 Longer Structured Questions Thursday 14 September 2017 2 hours Candidates answer on the Question Paper. No Additional Materials are required. READ THESE INSTRUCTIONS FIRST Write your name, class index number and PDG in the spaces provided above. 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 paper clips, glue or correction fluid. 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 half hours on Section A and half an hour on Section B. 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. ANDERSON JUNIOR COLLEGE This document consists of 21 printed pages and 1 blank page. For Examiner’s Use Paper 3 (80 marks) 1 2 3 4 5 6 7 8 9 Significant Figure Total (80 marks)

2 9749/03/AJC/2017Prelim Data speed of light in free space c  3.00 x 108 m s-1 permeability of free space 0  4 x 10-7 H m-1 permittivity of free space 0  8.85 x 10-12 F m-1 (1/(36 )) x 10-9 F m-1 elementary charge e  1.60 x 10-19 C the Planck constant h  6.63 x 10-34 J s unified atomic mass constant u  1.66 x 10-27 kg rest mass of electron me 9.11 x 10-31 kg rest mass of proton mp  1.67 x 10-27 kg molar gas constant R  8.31 J K-1 mol-1 the Avogadro constant N A  6.02 x 1023 mol-1 the Boltzmann constant k  1.38 x 10-23 J K-1 gravitational constant G  6.67 x 10-11 N m2 kg-2 acceleration of free fall g  9.81 m s-2

3 9749/03/AJC/2017Prelim [Turn Over Formulae uniformly accelerated motion s 2 2 1 atut  2v asu 22  work done on/by a gas W Vp hydrostatic pressure p gh gravitational potential  r Gm temperature T/K  T/C + 273.15 pressure of an ideal gas p   2 3 1 cV Nm mean translational kinetic energy of an ideal gas molecule E kT2 3 displacement of particle in s.h.m. x  x0 sin  t velocity of particle in s.h.m. v  v0 cos  t  22 xxo  electric current I  Anvq resistors in series R  R1 + R2 + … resistors in parallel 1/R  1/R1 + 1/R2 + … electric potential V  r Q o4 alternating current/voltage x  x0 sin  t magnetic flux density due to long straight wire B  d o   2 I magnetic flux density due to a flat circular coil B  r No 2 I magnetic flux density due to a long solenoid B  Ino radioactive decay x  x0 exp(–t) decay constant   2 1 2ln t

4 9749/03/AJC/2017Prelim Section A Answer all the questions in this section. 1 Fig. 1.1 shows a trolley of mass 0.80 kg, on a bench surface, connected to a mass M by a string. The mass M is released and the trolley moves along the surface. Fig. 1.2 shows the variation of the velocity v of the trolley with time t for the motion from A to B. Fig. 1.1 Fig. 1.2 (a) Calculate the acceleration of the trolley between A and B. acceleration = …………………………….m s -2 [1] 0.80 kg not to scale floor A CB M pulley 2.0 m 0 1.0 2.0 3.0 4.0 0.4 0.8 1.2 1.6 2.0 2.4 0 v / m s-1 t / s A B

5 9749/03/AJC/2017Prelim [Turn Over (b) Show that the distance from A to B is 0.72 m. [1] (c) When the trolley reaches B the mass M has just reached the floor. (i) Ignoring any resistive forces, calculate the time it takes the trolley to travel from B to C. time = …………………………………..s [2] (ii) On Fig. 1.1, complete the graph for the trolley moving from B and coming to rest at the pulley at C. [2] (iii) Using energy considerations, determine the mass M. M = …………………………………..kg [2] 2 Bodies A and B of mass 2M each are located at a distance D from one other as shown in Fig. 2.1. Fig. 2.1 (a) (i) Determine the net gravitational potential p at P, in terms of M, D and the gravitational constant G, due to masses A and B. p = ………………………….. [2] P 60 60 A B X D

6 9749/03/AJC/2017Prelim (ii) A stationary mass m is released at P and it moves to point X under the influence of gravitational field by A and B. Determine the speed of the mass, vx, when it reaches X in terms of m, G, M and D. v x = ……………………….. [2] (b) Electrical charges of +2Q and -Q were induced in bodies A and B respectively and it was assumed that the electrical charges were evenly distributed on the surfaces of A and B. Taking direction towards B as positive, sketch on the axes provided below, (i) the variation with distance from A of the gravitational field strength and gravitational potential between AB. Label your graphs g for gravitational field strength and  for gravitational potential respectively. Fig 2.2 [2] 0 surface of B Potential/ Field strength distance from A surface of A

7 9749/03/AJC/2017Prelim [Turn Over (ii) the variation with distance from A of the electric field strength and electric potential between AB. Label your graphs E for electric field strength and V for electric potential respectively. Fig 2.3 [2] (iii) At point R in Fig 2.4 below, a body of mass M and charge + Q is being released from rest. Fig 2.4 Suggest with a reason the direction of the body’s subsequent motion. ………………………………………………………………………………………….…… ………………………………………………………………………………………….…… …………………………………………………………………………………………….[2] 60 60 A B X P D R 0 Potential/ Field strength distance from A surface of A surface of B

8 9749/03/AJC/2017Prelim 3 In a heat engine, the working substance is an ideal monatomic gas with 3.0 moles of molecules. The gas undergoes a cycle of thermodynamic processes ABCDA as it drives the engine as shown in Fig 3.1.  Fig 3.1 (a) Determine the thermodynamic temperature of the gas at B. temperature = ………………………………. K [2] (b) Determine the change in internal energy of the gas in process BC. change in internal energy = ………………………………... J [2] D C B A 1.2 3.8 P/ 106 Pa V/ 10-3 m3 0.6 2.0 2.2 4.3

9 9749/03/AJC/2017Prelim [Turn Over (c) Determine the work done by the gas in process BC. work done by gas = ………………………………... J [2] (d) Determine the heat absorbed by the gas in process BC. heat absorbed = ………………………………... J [2]

10 9749/03/AJC/2017Prelim 4 (a) Light is an example of transverse electromagnetic wave. Light can be polarized. Explain how this gives evidence for light being a transverse wave. …………………………………………………………………………………………….……….. ………………………………………………………………………… ………………….......... [1] (b) Fig. 4.1 shows an ideal polarizer A arranged so that its polarizing direction is vertical. Polariser B is oriented with its plane parallel to that of A and with its polarizing