2025 HCI C2 Prelim H2 Physics P1 QP

This paper consists of 17 printed pages. HWA CHONG INSTITUTION JC2 Preliminary Examinations Higher 2 CANDIDATE NAME CT GROUP 24S CENTRE NUMBER INDEX NUMBER PHYSICS Paper 1 Multiple Choice Additional Materials: Optical Mark Sheet 9749/01 23 September 2025 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 / C2 Prelim 2025 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 / C2 Prelim 2025 1 What is a reasonable estimate for the volume of a typical basketball? A 70 cm3 B 700 cm3 C 7000 cm3 D 70000 cm3 2 A sandbag is released from a hot air balloon when it is 10 m above ground and ascending at a velocity of 4.0 m s -1. Which of the following graphs best shows how its displacement will vary with time? A B C D 3 Two identical frictionless trolleys A and B approach each other along a horizontal straight line, as illustrated in the figure below. Trolley A is moving faster than B. The trolleys collide and are in contact for a short period of time before separating. Which of the following statements is false? A It is not possible for both trolleys to be at rest simultaneously. B During the collision, the two trolleys exert equal and opposite forces on each other. C Trolley B must be moving to the right after the collision. D The collision must be elastic as trolley A remains in contact with trolley B for only a short period of time A B displacement/ m time/ s 10 -10 displacement/ m time/ s −10 displacement/ m time/ s −10 displacement/ m time/ s 10

4 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2025 4 A metre rule of mass 50 g is suspended horizontally from the ceiling by two springs at its ends, as shown. The spring at the 0.0 cm mark has spring constant 1k , while the spring at the 100 cm mark has spring constant 2k . The springs have the same length when they are unstretched. A 200 g mass is placed at the 25.0 cm mark. What is the ratio 2 1 k k such that the ruler is horizontal? A 0.33 B 0.43 C 2.3 D 3.0 5 A cube of density 0 of side L floats in a beaker of water of density 1 . The depth of the cube submerged in water is h. What is the magnitude of the upthrust on the cube? A 0gh B 1gh C 3 0gL D 3 1gL 25.0 cm 200 g 100.0 cm 0.0 cm h water L

5 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2025 6 The figure below shows a light shelf attached to the wall by a rope. A heavy book is on the shelf at the position shown. What is the direction of the force of the wall on the shelf? 7 The potential energy of a body when it is at point P a distance x from a reference point O is given by U = kx2, where k is a constant. What is the force acting on the body when it is at P? A magnitude of 2kx from O to P B magnitude of kx from O to P C magnitude of kx from P to O D magnitude of 2kx from P to O 8 A small sphere is set into circular motion in a horizontal plane within a smooth cone as shown. If the sphere is moving with a centripetal acceleration of 0.8g, what is the angle θ? A 37o B 39o C 51o D 53o book shelf wall B A C D

6 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2025 9 Which of the following statements regarding the gravitational field strength and acceleration of free fall at the surface of the Earth is true? A The gravitational field strength and the acceleration of free fall are always exactly equal at the Earth’s surface, approximately 9.8 m s-², regardless of location. B The acceleration of free fall is larger at the Equator than at the North and South Poles. C The gravitational field strength varies significantly from the Poles to the Equator , while the acceleration of free fall is constant across the Earth’s surface. D The gravitational field strength is numerically greater than or equal to the acceleration of free fall. 10 The diagram shows two circular orbits around the Earth. How would the kinetic energy and gravitational potential energy of a satellite change if it is moved from orbit 1 to orbit 2? kinetic energy gravitational potential energy A increase increase B increase decrease C decrease decrease D decrease increase Earth orbit 1 orbit 2

7 © Hwa Chong Institution 9749 / 01 / C2 Prelim 2025 11 Two vessels Y and Z are of the same volume. Vessel Y contains 8 moles of hydrogen gas molecules of molar mass 2 g mol -1 while vessel Z contains 8 m