CJC 2024.H2.Phy.PRELIM.P1 - QP

PHYSICS 9749/01 Paper 1 Multiple Choice Questions 12 September 2024 1 hour Additional Materials: Multiple Choice Answer Sheet READ THESE INSTRUCTIONS FIRST Write your name and class in the spaces at the top of this page. Write in soft pencil. Do not use staples, paper clips, glue or correction fluid. Write and shade your name, NRIC / FIN number and HT group on the Answer Sheet (OMR sheet) , unless this has been done for you. 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 Answer Sheet (OMR sheet). Read the instructions on the Answer Sheet carefully. 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. This document consists of 15 printed pages and one blank page. [Turn over NAME CLASS 2T Catholic Junior College JC2 Preliminary Examinations Higher 2

2 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 NA = 6.02 x 1023 mol-1 the Boltzmann constant k = 1.38 x 10-23 mol-1 gravitational constant G = 6.67 x 10-11 N m2 kg-2 acceleration of free fall g = 9.81 m s-2

3 [Turn over FORMULAE uniformly accelerated motion s = u t + ½ a t2 v2 = u2 + 2as work done on / by a gas W = p V hydrostatic pressure p = gh gravitational potential  = - Gm r temperature T / K = T / ˚C + 273.15 pressure of an ideal gas p = 1 3 Nm V 〈c2〉 mean translational kinetic energy of an ideal gas molecule E = 3 2 kT displacement of particle in s.h.m. x = x0 sin t velocity of particle in s.h.m. v = v0 cos t = 22 0 xx −  electric current I = Anvq resistors in series R = R1 + R2 + ... resistors in parallel 1/R = 1/R1 + 1/R2 + ... electric potential V = Q 4πεor alternating current / voltage x = x0 sin t magnetic flux density due to a long straight wire B = μoI 2πd magnetic flux density due to a flat circular coil B = μoNI 2r magnetic flux density due to a long solenoid B = μonI radioactive decay x = x0 exp(-t) decay constant λ = 1 2 ln2 t

4 1 A car is travelling west with a speed of 15 m s-1. A drone moving south flies over the car with a speed of 20 m s-1. At this instant, which arrow represents the velocity of the drone relative to the car? A B C D 2 A basketball player throws a ball with an initial velocity of 6.5 m s -1 at an angle of 50° to the horizontal. The ball is 2.3 m above the ground when released and passes through the basket on its way down. What is the time taken for the ball to reach the top of the basket which is 3.0 m above the ground? A 0.17 s B 0.36 s C 0.54 s D 0.85 s car 15 m s-1 2.3 m 3.0 m 6.5 m s-1 50° basket ground

5 [Turn over 3 An object of mass 20 kg moves along a straight line on a smooth horizontal surface. A force F acts on the object in its direction of motion. A graph of F against time t is shown below. If the velocity of the object at t = 4.0 s is 4.0 m s-1, what is its velocity at t = 6.0 s? A 3.0 m s-1 B 3.3 m s-1 C 4.7 m s-1 D 5.0 m s-1 4 Water is ejected at a speed of 0.5 m s -1 onto a wall from the nozzle of a hose with a diameter of 0.01 m. The density of water is 1000 kg m-3. If the water does not rebound, what is the force exerted by the water on the wall? A 5.0 x 10-3 N B 2.0 x 10-2 N C 2.5 x 10-2 N D 7.9 x 10-2 N 5 A particle moving with kinetic energy K undergoes a head-on perfectly inelastic collision with an identical particle that is initially at rest. What is the total kinetic energy of both particles, in terms of K, after the collision? A 0.25 K B 0.5 K C K D 2K 6 One end of a spring is fixed to a support. A mass is attached to the other end of the spring as illustrated below. The variation of mass M with length L is shown in the graph below. What is the energy stored in the spring when it is extended to a length of 35 cm? A 0.00750 J B 0.0315 J C 0.132 J D 0.309 J L L / cm M / g M mass

6 7 A uniform cube of volume 0.729 m3 is floating in water. The density of water is 1000 kg m-3. A load of 400 N is then placed onto the cube. The cube remains afloat. What is the change in the depth of the cube submerged in the water after the load is added? A 0.0503 m B 0.0559 m C 0.494 m D 0.900 m 8 A right-angle rule hangs at rest from a peg P as shown below. The rule is uniform i n density and cross-sectional area. One arm is of length L while the other arm is of length 2L. What is the angle θ at which the rule will hang in equilibrium? A 8ᵒ B 14ᵒ C 42ᵒ D 76ᵒ 9 A car of mass 1200 kg travels along a horizontal road at a speed of 10 m s-1. At the time it just begins to accelerate at 0.20 m s -2, the total resistive force acting on the car is 160 N. What is the total output power developed by the car as it just begins its acceleration? A 800 W B 1600 W C 2400 W D 4000 W 10 The diagram shows a projectile being launched at an angle  to the vertical. Ignoring air resistance, what fraction of its initial kinetic energy does the projectile have at the top of its trajectory? A zero B cos  C cos2  D sin2  P  L 2L rule u

7 [Turn over 11 An object of mass m moves in a circular path of radius r at a constant angular speed ω. What is the work done by the centripetal force on the object? A zero B r2ω2 C mrω2 D mr2ω2 12 Two stars of mass M and 2M, a distance 3x apart, rotate in circles about their common centre of mass O. What is the angular speed of the star of mass 2M? A 1 3 √GM x3 B 1 3 √2GM x3 C 1 2 √GM x3 D √GM x3

8 13 A fixed mass of ideal gas undergoes changes of pressure and volume starting at X, as shown. Which graph shows how temperature (measured in kelvin) changes with volume? A B C D 14 The mass of an argon atom is 10 times that of a helium atom. At the same room temperature, what is the ratio of the mean translational kinetic energy of an argon atom to that of a helium atom? A 0.01 B 0.1 C 1 D 10

9 [Turn over 15 A man of mass 60 kg stands on an oscillating platform. The platform oscillates with a frequency of 0.50 Hz and an amplitude of 0.20 m. What is the minimum normal contact force exerted by the platform on the man? A zero B 120 N C 470 N D 590 N 16 A wave pulse of length 0.25 m is shown at time t = 0. It moves along a string, fixed at point O, at 0.50 m s-1. Which graph best represents the displacement of point P with time for the period t = 1.5 s to 2.0 s? A B C D 17 A narrow, parallel beam of unpolarised light is passed through two optical polarisers. The first polariser’s transmission axis is oriented at 60° to the vertical, while the second polariser’s transmission axis is oriented at 45° to the horizontal. The light at P has amplitude A. What is the amplitude of the light at Q? A A cos 15° B A cos 45° C A cos 60° D A cos 75°

10 18 A fabric consists of closely-spaced horizontal and vertical threads as shown. When a monochroma