2013 NYJC H2 Physics P2 QP

© NYJC 2 Candida Name Class PHYS Paper 2 Candida No Add READ T Write yo Write in You may Do not u Answer At the en The num part que 2013 N S J H ate SICS 2 Structure ates answe ditional Mate THESE INS our name, cla dark blue or y use a soft p use staples, p all questions nd of the exa mber of mark estion. NANYANG Science De C 2 PREL Higher 2 ed Question er on the Qu erials are re STRUCTION ass and tutor r black pen o pencil for an paper clips, s. amination, fa ks is given in This JC JUNIOR C epartment IMINARY E ns uestion Pap equired. NS FIRST r name on all n both sides y diagrams, highlighters, asten all your brackets [ ] s document Nan C2/Prelim/H2/9 COLLEGE t EXAMINAT per. l the work yo s of the pape graphs or ro glue or corre r work secure at the end o t consists of nyang Jun 9646/02 E TION Tutor Name ou hand in. r. ough working ection fluid. ely together. of each ques f 20 printed ior College 24 1 . tion or pages e 96 4 Septemb 1 hour 45 m For Examin 1 2 3 4 5 6 7 8 Total [Turn over 46/02 ber 2013 minutes ner’s Use r

2 © NYJC 2013 JC2/Prelim/H2/9646/02 Data Formulae uniformly accelerated motion, s = ut + ½at2 v2 = u2 + 2as work done on/by a gas, W = p∆V hydrostatic pressure, p = Ρgh gravitational potential,  = /Gm r displacement of particle in s.h.m. x = xo sin ωt velocity of particle in s.h.m. v = vo cos ωt =  22 xxo  mean kinetic energy of a molecule of an ideal gas E = 3 2 kT resistors in series, R = R1 + R2 + … resistors in parallel, 1/ R =1 / R1 + 1/R2 + … electric potential, V = Q / 4πεor alternating current/voltage, x = xo sin ωt transmission coefficient, T α exp(-2kd) where k =  2 2 8 mU E h   radioactive decay, x = xo exp (-λt) decay constant λ = 21 693.0 t speed of light in free space, c = 3.00 x 10 8 m s-1 permeability of free space, μo =4 π x 10-7 H m-1 permittivity of free space, εo = 8.85 x 10 -12 Fm-1 (1 / (36 π)) x 10-9 Fm-1 elementary charge, e = 1.60 x 10 -19 C the Planck constant, h = 6.63 x 10 -34 J s unified atomic mass constant, u = 1.66 x 10 -27 kg rest mass of electron, me = 9.11 x 10 -31 kg rest mass of proton, mp = 1.67 x 10 -27 kg molar gas constant, R = 8.31 J K -1 mol-1 the Avogadro constant, NA = 6.02 x 10 23 mol-1 the Boltzmann constant, k = 1.38 x 10 -23 J K-1 gravitational constant, G = 6.67 x 10 -11 N m2 kg-2 acceleration of free fall, g = 9.81 m s -2

© NYJC 2 1 (a) (b) 2013 State the ………… … A rigid ba Fig. 1.1. The supp 25 cm from A ball of distance velocity of relation bet … ………… … ar of mass 4 ort A is 45 m C. mass 140 of 50 cm f f the ball be JC tween force … ………… 450 g is held cm from the g falls ve from C, as efore, during 3 C2/Prelim/H2/9 e and mome ………… … d horizonta Fig. e centre of rtically ont o shown in g and after Fig. 1.2 9646/02 entum. … ………… … ally by two s 1.1 gravity C o o the bar s Fig. 1.1. T hitting the b 2 … ………… … supports A a of the bar a n such that i t The variati o bar is shown … ………… … and B, as s nd the supp t hits the b on with tim e n in Fig. 1.2 [Turn over … ….. [1] shown in port B is bar at a e of the 2. r For Examiner’s Use

4 © NYJC 2013 JC2/Prelim/H2/9646/02 For Examiner’s Use For the time that the ball is in contact with the bar, use Fig. 1.2 to determine (i) the magnitude of the change in momentum of the ball, change in momentum = ……………….. kg m s-1 [2] (ii) the magnitude of the force exerted by the ball on the bar. force by ball = ……………….. N [2] (c) Hence, calculate the magnitude of the force exerted on the bar by support A for the time that the ball is in contact with the bar. force by support A = ……………….. N [2]

5 © NYJC 2013 JC2/Prelim/H2/9646/02 [Turn over For Examiner’s Use 2 An unpowered artificial satellite of mass m has been placed in a stable orbit around the Sun in the same direction as that of the Earth. It is at a distance of 0.99 R from the Sun, where R is the orbital radius of the Earth as shown in Fig. 2.1. Fig. 2.1 (a) Ignore the very small force the satellite acts on the Earth. Show that the period of the Earth round the Sun TE is given by where MS is the mass of the Sun. [2] (b) Show that the resultant force on the satellite is given by 20.99 SGM m R , given that the mass of the Sun is 3.33 x 105 times the mass of Earth. [2] R 0.99R Sun Earth satellite 2 3/24 E S TR GM 

6 © NYJC 2013 JC2/Prelim/H2/9646/02 For Examiner’s Use (c) Hence determine the period of the satellite round the Sun in terms of the period of the Earth TE. Period of satellite = ………………………… [2] (d) ‘Since the satellite is going round the Sun in a stable orbit, it is in stable equilibrium.’ Comment on the statement. ………………………………………………………………………………………………… …………………………………………………………………………………………….. [1] 3 (a) State the principle of superposition. ………………………………………………………………………………………………… ………………………………………………………………………………………………… ……………………………………………………………………………………………... [1] (b) Figure 3.1 shows a double slit S 1 and S 2 emitting waves of amplitude A and of wavelength 590 nm. They are placed 0.800 mm apart and at a distance of 2.70 m from a line XY. Point O is in the center of the fringe pattern. Two polarizers P 1 and P2 are placed in front of S1 and S2 respectively. The polarizers are rotated such that a fringe pattern is observed along the line XY. S1 0.800 mm X Y O 2.70 m S2 S P1 P2 Fig. 3.1

7 © NYJC 2013 JC2/Prelim/H2/9646/02 [Turn over For Examiner’s Use (i) Show that the fringe separation along the line XY is 2.00 mm. [1] (ii) On Fig. 3.2, sketch the variation of intensity along the line XY. [2] Fig. 3.2 (c) The polarizer P 1 is rotated 90o along its plane. (i) Calculate the resultant amplitude at point O on the line XY in terms of A. amplitude = …………… [1] X 4 3 2 1 0 1 2 3 4 Y intensity mm

8 © NYJC 2013 JC2/Prelim/H2/9646/02 For Examiner’s Use (ii) Calculate the resultant amplitude at a point 1.00 mm from point O along the line XY in terms of A. amplitude = …………… [1] (iii) Describe the appearance of the fringe pattern. …………………………………………………………………………………………… ………………………………………………………………………………………... [1] 4 An ideal transformer has 5000 turns on its primary coil. It is used to convert a main supply of root mean square value of 230 V to an alternating voltage having a peak value of 12.0 V. (a) (i) Explain what is meant by root mean square value of 230 V. ………………………………………………………………………………………….. ………………………………………………………………………………………….. ………………………………………………………………………………………... [2] (ii) Calculate the number of turns on the secondary coil. number of turns = ……………….. [2]

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