RVHS H2 Physics P3 QP

River Valley High School Page 1 of 26 H2 Physics 9749 2023 JC 2 Preliminary Examinations RIVER VALLEY HIGH SCHOOL JC 2 PRELIMINARY EXAMINATIONS H2 PHYSICS 9749 / 3 PAPER 3 15 SEPTEMBER 2023 2 HOURS CANDIDATE NAME CENTRE NUMBER S INDEX NUMBER CLASS 2 2 J INSTRUCTIONS TO CANDIDATES DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO. FOR EXAMINERS’ USE Section A – do all questions 1 / 9 2 / 6 3 / 7 4 / 5 5 / 6 6 / 12 7 / 7 8 / 8 Section B – do ONE question only 9 / 20 10 / 20 Deduction TOTAL / 80 Read these notes carefully. Write your name, centre number, index number and class in the spaces at the top of this page and on all work you hand in. Candidates answer on the Question Paper. Write in dark blue or black pen on both sides of the paper. You may use an HB pencil for any diagrams or graphs. Do not use staples, 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. The number of marks is given in brackets [ ] at the end of each question or part question. This document consists of 26 printed pages.

River Valley High School Page 2 of 26 H2 Physics 9749 2023 JC 2 Preliminary Examinations Data speed of light in free space, c = 3.00 × 108 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 = (1/(36π )) × 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 K–1 mol–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

River Valley High School Page 3 of 26 H2 Physics 9749 2023 JC 2 Preliminary Examinations Formulae uniformly accelerated motion 2 2 1 at uts + = 22 2v u as= + work done on / by a gas W pV= ∆ hydrostatic pressure p ghρ= gravitational potential φ = − GM / r temperature T / K = T / °C + 273.15 pressure of an ideal gas > < =2 3 1 cV Nmp mean translational kinetic energy of an ideal gas molecule kT E2 3= displacement of particle in s.h.m., x = x0 sin ωt velocity of particle in s.h.m., v = v0 cos ωt = ) (2 2 0 x x− ±ω electric current, I = Anvq resistors in series, 12RR R=++  resistors in parallel, 121/ 1/ 1/RR R=++  electric potential, r QV 04πε= alternating current/voltage, x = x0 sin ωt magnetic flux density due to a long straight wire, dB π µ 2 0 I= magnetic flux density due to a flat circular coil, r NB 2 0 Iµ= magnetic flux density due to a long solenoid, In B0µ= radioactive decay, x = x0 exp (−λt) decay constant, 2 1 2ln t=λ

River Valley High School Page 4 of 26 H2 Physics 9749 2023 JC 2 Preliminary Examinations Section A Answer all the questions in this Section in the spaces provided. 1 (a) Define random error and state a method to reduce the effects of it. ................................................................................................................................ ................................................................................................................................ ................................................................................................................................ ................................................................................................................................ ....................................................................................................................... [2] (b) The theory of gas flow through small diameter tubes at low pressures is an important consideration of high vacuum technique. One equation which occurs in the theory is ( ) 3 12kr p p MQ L RT −= where k is a number without units, r is the radius of the tube, p1 and p2 are the pressures at each end of the tube of length L, M is the molar mass of the gas, R is the molar gas constant and T is the thermodynamic temperature. Use the equation to find the base SI units of Q. base SI units of Q = ………………………………. [2]

River Valley High School Page 5 of 26 H2 Physics 9749 2023 JC 2 Preliminary Examinations (c) A factory produces solid copper cylinders. The length of a typical cylinder is measured as (28.0 ± 0.1) cm and diameter (6.0 ± 0.1) cm. (i) Given the density of copper is 8.96 g cm−3, determine the mass of a copper cylinder and its absolute uncertainty to the appropriate number of significant figures. mass = …………….…. ± ………………………. kg [4] (ii) Explain the effect o n the percentage uncertainty of the mass if the same length and diameter measurements were made using instruments of higher precision. ...................................................................................................................... ...................................................................................................................... .............................................................................................................. [1]

River Valley High School Page 6 of 26 H2 Physics 9749 2023 JC 2 Preliminary Examinations 2 Fig. 2.1 shows a ball to be shot at an angle θ above the level ground toward s a wall 20 m away from it. x is the displacement from the launching point in the direction of the wall. Fig. 2.1 Fig. 2.2 shows the variation of the vertical component of the ball’s velocity vy with displacement x. Fig. 2.2 -15 -10 -5 0 5 10 15 0 5 10 15 20 x x / m vy / m s−1 θ

River Valley High School Page 7 of 26 H2 Physics 9749 2023 JC 2 Preliminary Examinations (a) Show that the time taken for the ball to reach the wall is 1.02 s. [2] (b) Hence, or otherwise, determine the horizontal component of the ball’s velocity. horizontal velocity = ………………….. m s−1 [1] (c) Determine θ. θ = …………………..° [2] (d) The ball is now projected at different θ with the same speed. On Fig. 2.2, sketch the variation of v y with x if the ball were to hit the wall when it is at its maximum height. [1]

River Valley High School Page 8 of 26 H2 Physics 9749 2023 JC 2 Preliminary Examinations 3 (a) Define moment of a force. ................................................................................................................................ ...................................................................................................................... [1] (b) A uniform rod of length L with weight 400 N is attached to a vertical wall by strong adhesive as shown in Fig. 3.1. The other end of the rod is fastened to an inextensible rope. The structure is used to support a metal load of weight 2000 N. Fig. 3.1 (i) Calculate the tension in the rope. tension = ……………………. N [3] rope rod load 30o 60o wall

River Valley High School Page 9 of 26 H2 Physics 9749 2023 JC 2 Preliminary Examinations (ii) On Fig. 3.2, draw an arrow , R, to show the force on the wall by the rod. Show your working clearl