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83’ AL Physics/Structural Questions/Marking/P.1 PLK VICWOOD K.T. CHONG SIXTH FORM COLLEGE 83’ AL Physics: Structural Questions Marking Scheme 1. (a) Force time 0 Award marks for (i) single polarity (note that is acceptable). (ii) increase/decrease in magnitude of force. (iii) sinusoidal type shape (need not be exact sinusoidal since an exact ‘Hooke’s Law’ sponge was not specified. However, we would expect ½ ½ rather ½ ½ than , for example). (iv) symmetry about ‘highest point’. (b) Force 0 time Award marks for (i) same polarity as in (a). (ii) constant magnitude of force (any decrease would not be significant for a ball thrown in the air, and should not be credited). 2 (c) Experiments required are: (i) To show that a constant force produces a constant acceleration (e.g. form 4/5 experiments using trolleys, runways and ticker tape vibrators). 2 (ii) To show that acceleration due to gravity is constant (e.g. using a falling mass and a ticker tape vibrator, or stroboscopic photographs of falling bodies). ( Experiments (ii) and (i) together suggest that the gravitational force is constant, which would obviously not be the case for a ‘sponge’ theory. ) 2 83’ AL Physics/Structural Questions/Marking/P.2 2. (a) Using Bernoulli’s principle. 1 Difference in pressure = 1.29 (90 2 55 2 ) Pa 2 = 3270 Pa 1 Lifting force = 3270 200 N = 6.5 105 N 1 At the point of taking off, wt. of plane = lifting force 1 6.5 10 kg 10 = 6.5 104 kg 1 Mass of plane = 5 (b) out of syllabus 3. (a) Student A Agree. No intermolecular attraction; no potential energy. Internal energy is the total kinetic energy. Student B Disagree. There will be intermolecular potential energy which will contribute to the internal energy. 1 1 Student C Agree. The internal energy of a gas can be increased by the process of work. (Must give correct reason to get mark(s)) (b) Work done on piston (converted into internal energy) Ei = pressure volume change 1 1 = (101 10 3 ) m( ) 0.60 958 Energy supplied to evaporate water, Es = m(2.3 106) E1 101 10 3 = 100 % = 7.3% Es 0.60 (2.3 10 6 ) 4. (a) The maximum collect current is given by 6 6 I~ R~ = 600 R 10 10 3 1 1 1 1 1 1 83’ AL Physics/Structural Questions/Marking/P.3 (b) Thermistor should be in position X. 1 Reason: To make the lamp glow collector current must increase base current must increase p.d. across Y component must increase thermistor X 6V resistor Y (c) thermistor 4.7 k The full 6 V supply p.d. is divided between X and Y. If the resistance of the thermistor decrease, the proportion of this p.d. across Y (the resistor) will rise. 1 The lamp starts glowing for a p.d. across R of 1.1 V (given). 1 6V R 1.1 V 1 R 1.1 = R 4.7 6 6 R = 1.1 R + (4.7 1.1) 4.9 R = 1.1 4.7 1.1 4.7 R = 4.9 = 1.05 k 1 1 Choose R = 1 k, say. 5. Lamp A comes on before Lamp B. 1 When a constant voltage V is applied across an inductance L the rate of increase of current through the coil is V/L i.e. the current will always take a finite time to reach its final value. In the resistor the current change is virtually instantaneous. 1 (N.B. Candidates need not mention induced back e.m.f. In fact Nuffield suggests that this term leads to confusion and should be avoided. However, credit should be given for correct explanations in terms of back e.m.f.) (b) The vector diagram is as follows: Vy1 VL = IL 1 Vy2 VR = IR 83’ AL Physics/Structural Questions/Marking/P.4 tan = L = L R R tan …… (1) 1 From the CRO traces phase difference between Vy1 and Vy2 = 3 ms 1 Since period = 20 ms 3 3 = 2 = 0.94 rad. = 20 10 1 sub. in (1), R tan 500 tan(0.94 ) L = 100 ~ 2.18 H L = 1 (c) y1 y2 For full marks candidates should show L ) R (ii) /2 phase difference i.e. 2.5 cm (not 1.5 cm as in first case). (iii) Y2 leading Y1 (iv) Y2 inverted (as compared with original) (v) Y1 same polarity (as original) (i) amplitude ratio approx. 1.4 (= ½ 1 ½ ½ ½ 83’ AL Physics/Structural Questions/Marking/P.5 ( Note that the exact positions of the waveforms on the CRO screen will depend on the triggering level and slope. Candidates need not draw waveforms in positions shown above (the combined pattern can be shifted all to the left or to the right). The relative positions, however, must be as indicated above.) 6. out of syllabus 7. (a) (i) 1066 MW 0.323 = 3300 MW Power generated = 1 (ii) Power lost to the atmosphere = 3300 (0.18 + 0.007) MW = 617 MW 1 (b) Power delivered to cooling water = 3300 0.49 MW = 1617 MW 1 48 1000 4200 = 1617 106 where : rise in temperature 1617 10 6 C 48 1000 4200 = 8 C i.e. = 1 1 (c) Mass difference = (235.0409 + 1.0086) (140.9141 + 91.9250 + 3 1.0086) u = 0.1846 u = 3.064 10-28 kg Using E = mc2, energy released by one nuclide of U235 = 0.1846 1.66 10-27 (3 108)2 J = 2.76 10-11 J No. of nuclides undergone fission = 1 3300 10 6 2.76 10 11 = 1.2 1020 (d) 1 1.2 10 20 0.235 kg 6 10 23 = 4.7 10-5 kg Mass of U235 need in 1 sec = 1 Mass required in 10 years = 4.7 10-5 365 24 3600 10 kg = 14,800 kg ~ 15,000 kg 1 1