2024 HCI H2 Physics Paper 1 Question Paper

_____________________________________________________________________________________________ This paper consists of 16 printed pages. HWA CHONG INSTITUTION JC2 Preliminary Examination Higher 2 CANDIDATE NAME CT GROUP 23S CENTRE NUMBER INDEX NUMBER PHYSICS Paper 1 Multiple Choice Additional Materials: Optical Mark Sheet 9749/01 17 September 2024 1 hour INSTRUCTIONS TO CANDIDATES Write in soft pencil. Do not use staples, paper clips, glue or correction fluid. Write your name, CT, NRIC or FIN number on the optical mark sheet (OMS). Shade your NRIC or FIN in the spaces provided. There are thirty questions on this paper. Answer all questions. For each question, there are four possible answers A, B, C and D. Choose the one you consider correct and record your choice in soft pencil on the separate OMS. Each correct answer will score one mark. A mark will not be deducted for a wrong answer. Any rough working should be done in this booklet. The use of an approved scientific calculator is expected, where appropriate.

2 © Hwa Chong Institution 9749 / 01 / Preliminary Examination 2024 Data Formulae speed of light in free space, c = 3.00  10 8 m s -1 permeability of free space, o = 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 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 uniformly accelerated motion work done on / by a gas hydrostatic pressure gravitational potential temperature pressure of an ideal gas mean kinetic energy of a molecule of an ideal gas displacement of particle in s.h.m. velocity of particle in s.h.m. electric current resistors in series resistors in parallel electric potential alternating current / voltage magnetic flux density due to a long straight wire magnetic flux density due to a flat circular coil magnetic flux density due to a long solenoid radioactive decay decay constant s = ut + 2 1 at2 v 2 = u 2 + 2as W = p V p = gh r Gm−= T/K = T/ C + 273.15 P = 21 3 Nm cV  kTE 2 3= x = xo sin t v = vo cos t = )( 22 xxo − I = Anvq R = R1 + R2 + . . . 1/R = 1/R1 + 1/R2 + . . . r QV o4= x = xo sin  t 2 oμB d=  I 2 oμNB r= I B = onI x = xo exp ( -t ) 1 2 ln2 t =

3 © Hwa Chong Institution 9749 / 01 / Preliminary Examination 2024 1 A thermometer can be read to an accuracy of  0.5 oC. This thermometer is used to measure a temperature rise from 20 oC to 80 oC. What is the percentage uncertainty in the measurement of the temperature rise? A 0.5 % B 0.8 % C 1.3 % D 1.7% 2 The acceleration−time graph of an object moving along a straight line is shown below. The object was initially at rest. At which point on the graph is the object farthest from the starting point? 3 An elevator is moving downwards with a downward acceleration of 5.8 m s -2. A ball, held 2.0 m above the floor of the elevator and at rest with respect to the elevator, is released. How long does it take for the ball to reach the floor of the elevator? A 0.51 s B 0.64 s C 0.83 s D 1.0 s acceleration time A B C D

4 © Hwa Chong Institution 9749 / 01 / Preliminary Examination 2024 4 A man walking inside a shallow swimming pool managed to accelerate himself forward with a constant horizontal acceleration, a. Given the following information, which equation describes the horizontal motion of the man? Mass of man: m Upthrust: U Drag force of water: fD Frictional force from the floor of the pool: f Acceleration due to gravity: g A f – fD = ma B mg – U = ma C fD – f + mg – U = ma D f – fD + U = ma 5 The graph shows the force delivered to an incoming ball by a tennis player. After the impact, the 60 g ball leaves the racket with a speed of 30 m s-1. What was the magnitude of the momentum, in N s, of the tennis ball before the player hit it? A 1.2 B 1.8 C 4.8 D 20 t / ms F / N

5 © Hwa Chong Institution 9749 / 01 / Preliminary Examination 2024 6 A thruster is used to launch a 500 kg rocket vertically upward from rest. This thruster ejects exhaust at a speed of 1000 m s-1. What should be the minimum rate, in kg s-1, at which the exhaust leaves the thruster at the instant of launch? A 0.5 B 2.0 C 4.9 D 20 7 A uniform rod has a wooden section and a solid rubber handle, as shown. The length of the handle is l and the length of the wooden section is 5.00 l. The rod balances a distance 2.40 l from the rubber end. What is the ratio density of rubber density of wood ? A 5.42 B 5.00 C 2.89 D 0.345 5.00 l l 2.40 l

6 © Hwa Chong Institution 9749 / 01 / Preliminary Examination 2024 8 A shelf made of uniform material is held horizontally against a wall by a metal cable. The forces acting on the shelf are its weight, the force exerted by the metal cable, and the force exerted by the hinge. Which arrow could represent the direction of the force the hinge exerts on the shelf? 9 A block of mass 0.20 kg is dropped from a height of 15 cm above a light spring of spring constant 85 N m - 1, as shown below. The block lands on a light board and compresses the spring. Determine the maximum compression of the spring. A 2.3 cm B 4.6 cm C 8.3 cm D 11 cm A B C D shelf metal cable hinge wall 15 cm 0.20 kg light board

7 © Hwa Chong Institution 9749 / 01 / Preliminary Examination 2024 10 A speed boat with two engines, each of power 32 kW, can travel at a maximum speed of 14 m s-1. The total drag force on the boat is directly proportional to the speed of the boat. What is the maximum speed of the boat when only one engine is working? A 3.5 m s-1 B 7.0 m s-1 C 9.9 m s-1 D 11 m s-1 11 In an amusement park ride, a person sits in a cage which moves in a vertical circle at a constant speed. The person stays stationary with respect to the cage. At the instant shown, what is the direction of the force exerted by the cage on the person? D C B A

8 © Hwa Chong Institution 9749 / 01 / Preliminary Examination 2024 12 An object of mass m is moving radially away from Earth of mass M. For a small distance x above the surface of the Earth, the variation with x of the