MI 2024 PU3 H2 PHYSICS PRELIM P1 QP

Class Adm No Candidate Name: This document consists of 16 printed pages. [Turn over 2024 Preliminary Examinations Pre-University 3 H2 PHYSICS 9749/1 Paper 1 Multiple Choice 17 September 1 hour Additional Materials: Multiple Choice Answer Sheet READ THESE INSTRUCTIONS FIRST Do not turn over this page until you are told to do so. Write in soft pencil. Do not use staples, paper clips, highlighters, glue or correction fluid. Write your name, class and admission number on the Answer Sheet 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 OMR Answer Sheet. Read the instructions on the Answer Sheet very carefully. Each correct answer will score one mark. A mark will not be deducted for a wrong answer. Any working should be done in this booklet. The use of an approved scientific calculator is expected, where appropriate. H

2 Data speed of light in free space c = 3.00  108 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–1mol–1 the Avogadro constant NA = 6.02  1023mol–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

3 [Turn over Formulae uniformly accelerated motion s = ut + at2 v2 = u2 + 2as work done on/by a gas W = p V hydrostatic pressure p =  g h gravitational potential  = temperature T/K = T / °C + 273.15 pressure of an ideal gas p = 1 3 𝑁𝑚 𝑉 < 𝑐2 > mean kinetic energy of a molecule of an ideal gas E = displacement of particle in s.h.m. x = xo sin t velocity of particle in s.h.m. v = vo cost v =  electric current I = Anvq resistors in series R = R1 + R2 + … resistors in parallel = electric potential V = alternating current/voltage x = xo 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 = onI radioactive decay x = x0exp(–t) decay constant,  = 𝑙𝑛2 𝑡1/2 2 1  r Gm− kT2 3 )( 22 xxo − R 1 ...11 21 ++ RR r Q 04

4 1 The energy E stored in a certain electronic component is given by E = Qn 2k where Q is the total charge in the component, n is an unknown integer and k is a physical quantity with SI base units A2 s4 kg-1 m-2. What is the value of n? A -2 B -1 C 1 D 2 2 Three quantities a, b and c are related by the equation a = b2c a and b have fractional uncertainties ∆𝑎 𝑎 and ∆𝑏 𝑏 respectively. What is the fractional uncertainty of c? A ∆𝑎 𝑎 + ∆𝑏 𝑏 B ∆𝑎 𝑎 - ∆𝑏 𝑏 C ∆𝑎 𝑎 + 2 ∆𝑏 𝑏 D ∆𝑎 𝑎 - 2 ∆𝑏 𝑏 3 A ball is released from rest above the ground. The graph shows how the veolcity of the bouncing ball varies with time. At which point on the graph does the ball reach the maximum height after the first bounce?

5 [Turn over 4 The acceleration of free fall on the Moon is one-sixth of that on Earth. On Earth it takes time t for a stone to fall from rest a distance of 2 m. What is the time taken for a stone to fall from rest a distance of 2 m on the Moon? A 6 t B 6 t C 6t D 6t 5 The graph shows how the resultant force applied to an object of mass 4.0 kg varies with time. The force is applied in the same direction as the initial velocity. Given that the initial speed of the object is 2.5 m s –1, what is the speed of the object after 1.0 s? A 2.5 m s–1 B 5.0 m s–1 C 10 m s–1 D 15 m s–1 6 An object of uniform density with uniform cross sectional area is shown in the diagram (drawn to scale). Along which vertical line is its centre of gravity most probably located? A B D C time/s resultant force / N

6 7 A 3.50 g balloon is filled with helium (density = 0.180 kg m–3) to a volume of 5.00 m3 and is then connected to the top of a table via a light spring of spring constant 100 N m–1. The balloon causes the spring to stretch. What is the extension of the spring when the balloon is in equilibrium given that the density of air is 1.29 kg m–3? A 0.055 m B 0.201 m C 0.544 m D 0.632 m 8 The variation of the extension x of a light spring with the force F applied is shown below. Slotted masses with a total weight of 3.0 N were initially hung on the spring. What is the decrease in the elastic potential energy stored in the spring when a slotted mass weighing 0.5 N is removed from the system? A 0.013 J B 0.015 J C 0.028 J D 0.056 J x / cm F / N 10 5.0 0

7 [Turn over 9 Two identical objects rest on a flat rough horizontal circular disc. The disc starts from rest and starts spinning about its central axis with increasing rate. When the disc spins at a certain rate, one of the objects slides off the disc. Which of the following statements is correct? A The friction experienced by P and Q are always equal. B P experiences larger friction than Q. C Q will start to slide first due to larger angular velocity. D Q will start to slide first due to larger radius. 10 A small bob of mass m is suspended from a fixed point O by a light, inextensible cord. The bob is raised until the cord is horizontal and it is then released from rest. It moves in an arc of a circle as shown. What is the tension in the cord at the lowest point P? A zero B mg C 2mg D 3mg 11 The planet Jupiter has a radius of 7.15  107 m and is approximately 318 times more massive than the Earth. Given that the Earth has a radius of 6370 km, what is the acceleration due to gravity on the surface of Jupiter? A 2.41  10-5 N kg-1 B 2.73  10-3 N kg-1 C 24.8 N kg-1 D 273 N kg-1 P Q

8 12 Two points in space, P and Q, have gravitational potentials of -7.0 J kg -1 and -3.0 J kg-1 respectively as shown below. When a mass is moved from P to Q, it gains gravitational potential energy of 20 J. When it is moved from Q to R, it loses gravitational potential energy of 5.0 J. What is the gravitational potential at R? A - 8.0 J kg-1 B - 4.0 J kg-1 C - 2.0 J kg-1 D 2.0 J kg-1 13 Two objects at different temperatures are in thermal contact. Which quantity determines the transfer of thermal energy between the objects? A the temperature of the objects B the internal energy of the objects C the heat capacity of the objects D the mass of each object 14 A balloon contains 2.0 moles of helium gas at a temperature of 27 ⁰C. The molar mass of helium is 4.0 g mol-1. What is the average translational kinetic energy of the helium atoms in the balloon? A 5.6  10-22 J B 6.2  10-21 J C 30 J D 7500 J P P = - 7.0 J kg-1 Q Q = - 3.0 J kg-1 R R

9 [Turn over 15 In a heating experiment, energy is supplied at a constant rate to a liquid. The temperature of the liquid rises at 4.0 K per minute just before it begins to boil. After 40 minutes of boiling, all the liquid has boiled away. For this liquid, what is the ratio specific latent heat of vaporisation specific heat capacity ? A 1 160 K B 1 40 K C 40 K D 160 K 16 An object undergoing simple harmonic motion takes 0.30 s to travel from one point of zero velocity to the next such point. The distance between these two points is 0.36 m. Which of the following shows th