2024 JPJC Prelim H2 Physics P3 Printed

[Turn over Data READ THESE INSTRUCTIONS FIRST Write your name, class and index number in the spaces at the top of this page. Write in dark blue or black pen on both sides of the page. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. The use of an approved scientific calculator is expected, where appropriate. Section A Answer all questions. Section B Answer any one question only. You are advised to spend about one and half hours on Section A and half an hour on Section B. The number of marks is given in brackets [ ] at the end of each question or part question. This document consists of 25 printed pages and 3 blank pages. For Examiner’s Use 1 / 6 2 / 8 3 / 9 4 / 11 5 / 8 6 / 11 7 / 7 8 / 20 9 / 20 Total / 80 [Turn over JURONG PIONEER JUNIOR COLLEGE JC2 Preliminary Examination 2024 PHYSICS 9749/03 Higher 2 11 September 2024 Paper 3 Longer Structured Questions 2 hours Candidates answer on the Question Paper. No Additional Materials are required. Name: _______________________________ Class: ______________

2 2024/JPJC/Prelim/9749/03 Data speed of light in free space 81000.3 =c m s–1 permeability of free space 7 0 104 −=  H m–1 permittivity of free space 12 0 1085.8 −= F m–1 ( )( ) 910361 −=  F m–1 elementary charge 191060.1 −=e C the Planck constant 341063.6 −=h J s unified atomic mass constant 271066.1 −=u kg rest mass of electron 311011.9 −=em kg rest mass of proton 271067.1 −=pm kg molar gas constant 31.8=R J K–1 mol–1 the Avogadro constant 231002.6 =AN mol–1 the Boltzmann constant 231038.1 −=k J K–1 gravitational constant 111067.6 −=G N m2 kg–2 acceleration of free fall 81.9=g m s–2

3 2024/JPJC/Prelim/9749/03 [Turn over Formulae uniformly accelerated motion 2 2 1 atuts += asuv 222 += work done on/by a gas VpW = hydrostatic pressure ghp = gravitational potential GM r =− 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. txx sin0= velocity of particle in s.h.m. tvv cos0= 22 0 xx −=  electric current Anvq=I resistors in series ...21 ++= RRR resistors in parallel .../1/1/1 21 ++= RRR electric potential r QV 04= alternating current/voltage txx sin0= magnetic flux density due to a long straight wire 0 2B d  = I magnetic flux density due to a flat circular coil 0 2 NB r = I magnetic flux density due to a long solenoid 0Bn = I radioactive decay )exp(0 txx −= decay constant 1 2 ln2 t =

4 2024/JPJC/Prelim/9749/03 Section A Answer all the questions in the spaces provided. 1 A small parcel is released from a helicopter which is ascending steadily at 2.5 m s–1. (a) Neglecting air resistance, determine the speed of the parcel after 2.0 s. speed = ………………............... m s−1 [2] (b) Sketch, on the same axes in Fig. 1.1, two graphs to show the variation with time of the velocities of the helicopter (label H) and the parcel (label P) during the first 2.0 s. [2] v / m s−1 0 t / s 1.0 2.0 Fig. 1.1 (c) Using the sketch ed graphs, or otherwise, determine the distance between the helicopter and the parcel after 2.0 s. distance = ………………............... m [2] 0

5 2024/JPJC/Prelim/9749/03 [Turn over BLANK PAGE

6 2024/JPJC/Prelim/9749/03 2 (a) Explain why the gravitational field strength near the surface of a planet is approximately constant for small changes in height. ………………………………………………………………………………………………….. ………………………………………………………………………………………………….. ……………………………………………………………………………………………… [1] (b) An isolated planet of uniform density has mass M and radius R. Point P lies on a straight line passing through the centre of the planet, at a displacement x from the centre, as shown in Fig. 2.1. Fig. 2.1 Fig. 2.2 shows the variation with x of the gravitational field strength g at point P due to the planet for the values of x for which P is inside the planet. Fig. 2.2 planet mass M

7 2024/JPJC/Prelim/9749/03 [Turn over The magnitude of the gravitational field strength at the surface of the planet is Y. (i) State an expression for Y in terms of M and R. Identify any other symbols that you use. [1] (ii) Complete Fig. 2.2 to show the variation of g with x for values of x, up to 3R , for which point P is outside the planet. [3] (iii) A rock is projected vertically upwards from the surface of the planet with a speed of 314.7 10 m s − . The mass M of the planet is 236.4 10 kg and the radius R of the planet is 63.4 10 m . Calculate the distance travelled by the rock for it to lose half of its kinetic energy. distance = ........................................ m [3]

8 2024/JPJC/Prelim/9749/03 3 Two charged metal spheres A and B are situated in a vacuum. The distance between the centres of the spheres is 12.0 cm, as shown in Fig. 3.1. Fig. 3.1 The charge on each sphere may be assumed to be a point charge at the centre of the sphere. Point P is a variable point that lies on the line joining the centres of the spheres and is distance x from the centre of sphere A. The variation with distance x of the electric field strength E at point P is shown in Fig. 3.2. Fig. 3.2 -200 -150 -100 -50 0 50 100 150 0 2 4 6 8 10 12 sphere A sphere B x 12.0 cm P x / cm E / 106 N C−1 −50 −100 −150 −200

9 2024/JPJC/Prelim/9749/03 [Turn over (a) State the evidence provided by Fig. 3.2 that the spheres are conductors. ….................................................................................................................................... ……........................................................................................................................... [1] (b) The sphere A is positively charged. (i) State and explain the polarity of sphere B. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. ............................................................................................................................ [2] (ii) Use Fig. 3.2 to determine the ratio . ratio = ........................................ [2] (c) (i) State, in words, the relation between electric field strength and electric potential. ............................................................................................................................ [1] (ii) A point charge of −2.0 C is moved by an external force from x = 2.0 cm to x = 8.0 cm, along the line joining the centres of the spheres. Use Fig. 3.2 to estimate the work done by