w w s er om .c GCE Advanced Level MARK SCHEME for the November 2005 question paper 9702 PHYSICS 9702/04 Core maximum raw mark 60 This mark scheme is published as an aid to teachers and students, to indicate the requirements of the examination. It shows the basis on which Examiners were initially instructed to award marks. It does not indicate the details of the discussions that took place at an Examiners’ meeting before marking began. Any substantial changes to the mark scheme that arose from these discussions will be recorded in the published Report on the Examination. All Examiners are instructed that alternative correct answers and unexpected approaches in candidates’ scripts must be given marks that fairly reflect the relevant knowledge and skills demonstrated. Mark schemes must be read in conjunction with the question papers and the Report on the Examination. The minimum marks in these components needed for various grades were previously published with these mark schemes, but are now instead included in the Report on the Examination for this session. • ap eP m e tr .X w UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS CIE will not enter into discussion or correspondence in connection with these mark schemes. CIE is publishing the mark schemes for the November 2005 question papers for most IGCSE and GCE Advanced Level and Advanced Subsidiary Level syllabuses and some Ordinary Level syllabuses. Page 1 1 (a) Mark Scheme A LEVEL – NOVEMBER 2005 GM / R2 = Rω2 …………….…………………...…..………………….. ω = 2π / (24 × 3600) ………………………………..……..…………… 6.67 × 10–11 × 6.0 × 1024 = R3 × ω2 R3 = 7.57 × 1022 ………………………………………………………… R = 4.23 × 107 m ……………………………………………………….. (b)(i) ∆Φ = = = ∆EP = = 2 3 GM/Re – GM/Ro …...………………………………………….….. (6.67 × 10–11 × 6.0 × 1024) ( 1 / 6.4 × 106 – 1 / 4.2 × 107) 5.31 × 107 J kg–1 …………………………………………………. 5.31 × 107 × 650 …………………………………………………. 3.45 × 1010 J …………………………………………………….. Paper 4 C1 C1 M1 A0 [3] C1 C1 C1 A1 [4] (c) e.g. satellite will already have some speed in the correct direction … B1 [1] (a) obeys the law pV = constant × T ………………………..……………….. at all values of p, V and T ………………………………………………. M1 A1 [2] (b) n = (2.9 × 105 × 3.1 × 10–2) / (8.31 × 290) …..………………..………... = 3.73 mol ………………………………………………………………. C1 A1 [2] (c) at new pressure, nn = 4.23 mol ….………………………………………. change = 0.50 mol ……………………………………………………….… number of strokes = 0.50 / 0.012 = 42 (must round up for mark) ……. C1 C1 A1 [3] correct statement, words or symbols B1 [1] (a) (b)(i) w (c) 3.4 290 × 2.9 300 …..…………………………...….. A1 [2] = 4.05 × 104 J …………………………………………………………. B1 [1] (iii) ∆U = 4.05 × 104 – 3050 = 37500 J …no e.c.f. from (a)………………… penalise 2 sig.fig. once only A1 [1] number of molecules = NA ………………………………………………. energy = 37500 / (6.02 × 1023) = 6.2 × 10–20 J (accept 1 sig.fig.) …………………………..…. C1 (a) (i) ω (ii) a0 (b) = 3.73 × = p∆V ………………………………………………………………….. = 1.03 × 105 × (2.96 × 10–2 – 1.87 × 10–5) = (–) 3050 J …………………..……………….…………..…………… (ii) q 4 Syllabus 9702 A1 = 2πf ………………………………………………………....………….. = 2π × 1400 = 8800 rad s–1 ………………………………………………………….. C1 = (–)ω2x0 ……………………………..………………………………… = (8800)2 × 0.080 × 10–3 = 6200 m s–2 …………………….……………………………………. C1 straight line through origin with negative gradient …….…………….... end points of line correctly labelled …………………………………….. (c) (i) zero displacement (ii) v C1 ………………………………………………………… = ωx0 ……………………………………………………………………. = 8800 × 0.080 × 10–3 = 0.70 m s–1 ……………………………………………………………. © University of Cambridge International Examinations 2005 A1 [2] [2] A1 [2] M1 A1 [2] B1 [1] C1 A1 [2] Page 2 5 (a) (b)(i) 6 Syllabus 9702 Paper 4 ½mv2 = qV ……(or some verbal explanation) …..……………..…… ½ × 9.11 × 10-31 × v2 = 1.6 × 10-19 × 1.2 × 104 ………………………… v = 6.49 × 107 m s–1 ………….………………………………………… B1 B1 A0 [2] within field: B1 B1 B1 [3] circular arc ………………..………………..…………….. in ‘downward’ direction ……………..………………….. beyond field: straight, with no ‘kink’ on leaving field ………………… (ii) 1. v is smaller …………………………………………………………………. deflection is larger ………………………………………………………… 2. (magnetic) force is larger ………………………………………………… deflection is larger ……………………………………………………….. M1 A1 M1 A1 (numerically equal to) force per unit length …………………….…….… on straight conductor carrying unit current ……………………………. normal to the field ………………………………………………………… M1 A1 A1 [3] (b) flux through coil = BA sinθ ……………………………………………….. flux linkage = BAN sinθ ………………..………………………………… B1 B1 [2] (c) (i) (induced) e.m.f. proportional to ………………………………..…..…..… rate of change of flux (linkage) …………………….……………………. M1 A1 [2] graph: B1 B1 B1 [3] energy required to separate the nucleons in a nucleus ..………..…….. nucleons separated to infinity / completely …………..……………….. M1 A1 [2] S shown at peak B1 [1] A1 [1] (a) (ii) 7 Mark Scheme A LEVEL – NOVEMBER 2005 (a) (i) (ii) (b)(i) two square sections in correct positions, zero elsewhere ….. pulses in opposite directions …………………………………… amplitude of second about twice amplitude of first ………….. …..……………………………………………………… 4 ……...…………………………………………………………………… (ii) 1. idea of energy as product of A and energy per nucleon …………… energy = (8.37 × 142 + 8.72 × 90) – 235 × 7.59 = 1189 +785 – 178 = 190 MeV ………(–1 for each a.e.) ………………………… 2. energy = mc2 ……………………………………………………………. 1 MeV = 1.6 × 10–13 J …………………………………………………. energy = (190 × 1.6 × 10–13) / (3.0 × 108)2 = 3.4 × 10–28 kg …………………………………………..…… © University of Cambridge International Examinations 2005 [2] [2] C1 A2 [3] C1 C1 A1 [3]