2023 JPJC Prelim H2 Phy P1

2023/JPJC/Prelim/9749/01 [Turn over Data READ THESE INSTRUCTIONS FIRST Write in soft pencil. Do not use staples, paper clips, highlighters, glue or correction fluid. Write your name, class and index number on the Answer Sheet in the spaces provided. There are thirty questions in 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. 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 rough working should be done in this booklet. The use of an approved scientific calculator is expected, where appropriate. This document consists of 20 printed pages. JURONG PIONEER JUNIOR COLLEGE JC2 Preliminary Examination 2023 PHYSICS 9749/01 Higher 2 19 September 2023 Paper 1 Multiple Choice 1 hour Additional Material: Multiple Choice Answer Sheet Name: _______________________________ Class: ______________

2 2023/JPJC/Prelim/9749/01 Data speed of light in free space 810 00. 3 × =c m s−1 permeability of free space 7 0 104 −× =π µ Hm−1 permittivity of free space 12 0 10 85. 8 −× =ε Fm−1 ( )( ) 910 361 −×= π Fm−1 elementary charge 191.60 10e −= × C the Planck constant 346.63 10h −= × Js unified atomic mass constant 271.66 10u −= × kg rest mass of electron 31 e 9.11 10m −= × kg rest mass of proton 27 p 1.67 10m −= × kg molar gas constant 8.31R = JK−1 mol−1 the Avogadro constant 23 A 6.02 10N = × mol−1 the Boltzmann constant 231.38 10k −= × JK−1 gravitational constant 116.67 10G −= × Nm2 kg−2 acceleration of free fall 81. 9=g m s−2

3 2023/JPJC/Prelim/9749/01 [Turn over Formulae uniformly accelerated motion 2 2 1 at uts + = asu v 22 2+ = work done on/by a gas V p W∆ = hydrostatic pressure ghp ρ= gravitational potential GM rφ =− temperature /K / C 273.15TT = +  pressure of an ideal gas 21 3 Nmpc V= mean translational kinetic energy of an ideal gas molecule 3 2E k T= displacement of particle in s.h.m. t x xωsin0= velocity of particle in s.h.m. t v vωcos0= 22 0 x x− ± =ω electric current Anvq=I resistors in series ...2 1+ + =R R R resistors in parallel .../ 1 / 1 / 121 + + =R R R electric potential r QV 04πε= alternating current/voltage t x xωsin0= magnetic flux density due to a long straight wire 0 2B d µ π= I magnetic flux density due to a flat circular coil 0 2 NB r µ= I magnetic flux density due to a long solenoid 0Bn µ= I radioactive decay )exp(0 t x xλ− = decay constant 1 2 ln2 tλ =

4 2023/JPJC/Prelim/9749/01 1 The radiancy R is defined as the total energy emitted per unit time per unit area from a black body at thermodynamic temperature T. It is given by R = σT4 where σ is called the Stefan-Boltzmann constant. W hat is the correct unit for σ? A W m−2 K4 B kg s −3 K−4 C J s m−2 K−4 D J s−1 m−2 K4 2 Two vectors X and Y are shown in the given diagram. In which vector diagram does the vector Z represent the difference between X and Y such that Z = X − Y? A B C D X Y Y X Z Y X Z Y X Z Y X Z

5 2023/JPJC/Prelim/9749/01 [Turn over 3 Two stones P and Q are thrown from the top of a cliff, one straight up and the other straight down, at the same initial speed. Both eventually hit the ground. The effect of air resistance on the stones is negligible. Which statement will be true of the speeds with which the stones hit the ground? A Stone P hits the ground with the greater speed. B Stone Q hits the ground with the greater speed. C Both stones hit the ground with the same speed. D The comparative speeds of impact depend on the height of the cliff. 4 An object accelerates uniformly from rest in a straight line. During the first 10 seconds it travels a total distance of 24 m. What is distance travelled by the object in the next 15 s? A 36 m B 54 m C 126 m D 150 m P Q

6 2023/JPJC/Prelim/9749/01 5 Two blocks A and B of masses 2.0 kg and 5.0 kg respectively are connected by an inextensible string as shown. Both the table and the pulley are frictionless. When B is released, what is the acceleration of A? A 7.0 m s −2 B 9.8 m s−2 C 16 m s−2 D 25 m s −2 6 Two masses m and 3m move towards each other in opposite directions with speeds 2 v and v respectively. The masses collide and stick together. What is the speed of mass m after the collision? A 4 v B 2 v C v D 4 5v A B table

7 2023/JPJC/Prelim/9749/01 [Turn over 7 A boat floating in fresh water displaces 35.6 kN of water. The density of sea water is 1024 kg m−3. What is the volume of sea water it will displace when floating in the sea? A 3720 m 3 B 34.8 m 3 C 3.63 m 3 D 3.54 m3 8 A spring X of force constant 5.0 N m −1 is connected in series with a spring Y of force constant 10.0 N m−1 as shown. A force of 1.5 N is applied to the other end. What is the total elastic potential energy stored in the springs? A 0.23 J B 0.34 J C 0.68 J D 1.5 J 5.0 N m−1 10.0 N m−1 X Y 1.5 N

8 2023/JPJC/Prelim/9749/01 9 T wo boxes X and Y of masses 2.0 kg and 3.0 kg respectively are connected by a light inextensible rope passing over a smooth pulley. X and Y are on smooth inclined planes. X starts from rest and moves up the plane inclined at 30° to the horizontal. What will be the final speed of Y after X has travelled 3.0 m along the plane? A 1.6 m s −1 B 2.3 m s −1 C 3.3 m s−1 D 4.3 m s −1 30° 40° X Y 3.0 m

9 2023/JPJC/Prelim/9749/01 [Turn over 10 A mass m1 is attached to one end of an elastic string of an unstretched length L. When the mass is rotating with a linear speed v on a smooth table in a horizontal circle, an extension e is obtained. A second mass m2 rotates with the same linear speed v. The radius is twice that produced by m1. What is the mass m2? A 12( )mL e e + B 12 ( 2)mL e e + C 12 (2 )m Le e + D 12 (2 2 )mL e e + 11 A skateboarder rests on top of a smooth ramp of height h and radius of curvature r. He moves off from his position of rest at A and slides down the smooth ramp. The mass of the skateboarder is m. What is the magnitude of the contact force R exerted by the ramp on the skateboarder at the lowest point of the ramp? A mg B mg2 C mg3 D mg4 r h A smooth ramp

10 2023/JPJC/Prelim/9749/01 12 A satellite of mass 50 kg moves from a point where the gravitational potential due to the Earth is −30 MJ kg−1 to another point where the gravitational potential is −70 MJkg−1. During this change of position, it has moved A close r to the Earth and lost 2000 MJ of potential energy. B closer to the Earth and lost 40 MJ of potential energy. C further from the Earth and gained 2000 MJ of potential energy. D further from the Earth and gained 40 MJ of potential energy. 13 A fixed mass of ideal gas undergoes changes in pressure p and volume V starting with process A, as shown. Which statement about the processes is not necessarily true? A Temperature of the gas is doubled in process A. B Work done by the gas in process A is 4P oVo. C Heat is removed from the system i