2024 HCI H2 Physics Paper 2 Question Paper

This paper consists of 25 printed pages, including 3 BLANK pages. HWA CHONG INSTITUTION JC2 Preliminary Examination Higher 2 CANDIDATE NAME CT GROUP 23S CENTRE NUMBER INDEX NUMBER PHYSICS Paper 2 Structured Questions Candidates answer on the Question Paper. No Additional Materials are required. 9749/02 10 September 2024 2 hours READ THESE INSTRUCTIONS FIRST Write your Centre Number, index number and name in the spaces at the top of this page. Write in dark blue or black pen on both sides of the paper. You may use a soft 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. The number of marks is given in brackets [ ] at the end of each question or part question. You are reminded of the need for good English and clear presentation in your answers. For Examiner’s Use Paper 2 1 6 2 11 3 5 4 8 5 9 6 10 7 9 8 22 Deductions Total 80

2 © Hwa Chong Institution 2024 9749 / 02 / Preliminary Examination 2024 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 2024 9749 / 02 / Preliminary Examination 2024 BLANK PAGE

4 © Hwa Chong Institution 2024 9749 / 02 / Preliminary Examination 2024 1 Fig. 1.1 shows an incident photon of momentum 7.30 x 10 -22 kg m s –1 colliding with a stationary electron. Fig. 1.1 After the collision, the photon is scattered off through an angle of 60o and has a momentum pp. The electron gets scattered off at an angle of 52 o with a momentum pe. Their scattering angles are measured with respect to the path of the incident photon. (a) Explain why linear momentum is conserved in this collision for the system of photon and electron. [1] (b) Consider the photon and electron as a system. (i) State the total momentum of the system along the 1. x-direction, momentum in x-direction = kg m s-1 [1] 2. y-direction. momentum in y-direction = kg m s-1 [1] 25° scattered electron momentum pe

5 © Hwa Chong Institution 2024 9749 / 02 / Preliminary Examination 2024 (ii) Applying the principle of conservation of momentum in both directions, determine the momentum pe of the electron after the collision. momentum pe of the electron = kg m s-1 [3] [Total: 6]

6 © Hwa Chong Institution 2024 9749 / 02 / Preliminary Examination 2024 2 (a) State Newton’s law of gravitation. [2] (b) Fig. 2.1 shows a hypothetical stable three -body system. The system comprises of three identical masses A, B and C orbiting about a common centre of rotation O. The radius of orbit is 7.60 × 108 m. Fig 2.1 The masses are equally distributed along the circular path of orbit, such that the distance between any two masses is always the same. The distance between the centres of any two masses is 1.32 × 10 9 m. Each mass is 6.20 × 1024 kg. (i) Show that the resultant force on mass A is 2.55 × 1021 N. [2] O radius of orbit 7.60 × 10 8 m mass B distance between two masses 1.32 × 10 9 m mass C mass A

7 © Hwa Chong Institution 2024 9749 / 02 / Preliminary Examination 2024 (ii) Hence, calculate the period of orbit of the three masses about O. Explain your working. period = s [3] (iii) Explain why gravitational potential near this system of three masses is always negative. [2] (iv) Calculate the gravitational potential energy of this system of three masses. gravitational potential energy = J [2] [Total: 11]

8 © Hwa Chong Institution 2024 9749 / 02 / Preliminary Examination 2024 3 (a) Describe what is meant by a polarised wave. [2] (b) A narrow beam of light is incident on three ideal polarising filters A, B and C as illustrated in Fig. 3.1. Fig. 3.1 The emergent beam after passing through filter A has an intensity of I. Filter C is fixed in position such that its polarising axis is at an angle of 45° from the polarising axis of filter A. Filter B is allowed to rotate. θ is the angle between the polarising axes of filter A and B. (i) Polarising filter B is rotated from θ = 0° to θ = 180°. Besides θ = 90°, there is another angle  where the intensity of light emergent from filter C is zero. State the value of this angle.  = o [1]

9 © Hwa Chong Institution 2024 9749 / 02 / Preliminary Examination 2024 (ii) Filter B is adjusted such that θ = 60°. Determine the intensity of light, in terms of I, that emerges from filter C. intensity = I [2] [Total: 5]

10 © Hwa Chong Institution 2024 9749 / 02 / Preliminary Examination 2024 4 An electron is travelling at right angles to a uniform magnetic field of flux density 1.2 mT, as illustrated in Fig. 4.1. Fig. 4.1 The magnetic field is directed into the plane of the paper. When the electron is at A, its velocity is 2.8 x 107 m s-1 in the direction shown. This is normal to the magnetic field. (a) (i) On Fig. 4.1, sketch the path of the electron, assuming that it does not leave the region of the magnetic field. [1] (ii) Show that the radius of the path of the electron is 13 cm. [2] region of uniform magnetic field into plane of paper • A