CAPE Physics Unit 2 · 2003 · Paper 2

59 questions and parts from this paper. Open one to see it in full, then practise it on Quelpr and get it marked against the mark scheme.

1. 1(a)(i)2 marksDraw a circuit diagram suitable for examining the I - V characteristic of the diode.
2. 1(a)(ii)2 marksExplain how the readings would be taken.
3. 1(b)(i)4 marksAssuming that I = A V^n, use the graph in Figure 1 to determine the value of n.
4. 1(b)(ii)2 marksDeduce the FULL equation relating the current, I, to the voltage, V, for the diode.
5. 2(a)2 marksDetermine the theoretical gain of the amplifier shown in Figure 2.
6. 2(b)4 marksOn the graph page on page 7, plot a graph of V_o versus V_i using the data in Table 1.
7. 2(c)(i)2 marksFrom your graph, determine the gradient of the linear section.
8. 2(c)(ii)1 markFrom your graph, determine the gain of the operational amplifier.
9. 2(c)(iii)1 markFrom your graph, determine the saturation voltages of the operational amplifier.
10. 3(a)2 marksComplete Table 2 to show the missing frequency values.
11. 3(b)3 marksOn the graph paper on page 9, plot a graph of stopping potential, V_s, versus frequency, f.
12. 3(c)(i)3 marksFrom the graph, determine Planck's constant.
13. 3(c)(ii)2 marksFrom the graph, determine the work function, in eV, of calcium.
14. 4(a)2 marksState Coulomb's law for electrostatic charges and define 'electric field'.
15. 4(b)(i)a)2 marksExplain why the pollen grain 'jumps' to the bee.
16. 4(b)(i)b)1 markExplain why the pollen grain clings to the bee during the flight.
17. 4(b)(i)c)2 marksExplain why the pollen grain 'jumps' away from the bee to the stigma.
18. 4(b)(ii)a)2 marksAssuming that a bee with a charge of 45.0 x 10^-12 C is a spherical conductor, calculate the magnitude of the bee's electric field at the location of a pollen grain 1.5 cm from the bee's centre.
19. 4(b)(ii)b)1 markState whether this field is uniform or non-uniform.
20. 4(c)(i)5 marksA spherical drop of water carrying a charge of 30 x 10^-12 C has a potential of 500 V at its surface. Calculate the radius of the drop.
21. 4(c)(ii)5 marksTwo such drops of the same charge and radius combine to form a single spherical drop. Calculate the potential at the surface of the new drop.
22. 5(a)(i)2 marksExplain what is meant by 'drift velocity', v.
23. 5(a)(ii)4 marksShow that the current, I, flowing through the conductor is given by I = n e v A, where n is the number of charge carriers, e is the charge on EACH carrier, v is the drift velocity, and A is the cross sectional area of…
24. 5(a)(iii)2 marksWrite down an equation defining the resistivity of a piece of metal of length l and cross sectional area A.
25. 5(b)(i)2 marksCalculate the current flowing through the wire.
26. 5(b)(ii)3 marksCalculate the length of the wire.
27. 5(c)2 marksGiven that each cubic metre of nichrome contains 9.0 x 10^28 conduction electrons, calculate the drift velocity of the electrons.
28. 5(d)(i)2 marksCalculate the average force experienced by EACH electron due to the field.
29. 5(d)(ii)3 marksCalculate the TOTAL force experienced by the wire due to the field.
30. 6(a)(i)6 marksState THREE characteristics of the ideal operational amplifier and their implications for the ideal operational amplifier.
31. 6(a)(ii)2 marksWhat effect does negative feedback have on the gain and bandwidth of an operational amplifier?
32. 6(b)(i)3 marksDetermine the output voltage, V_o, of the circuit.
33. 6(b)(ii)1 markSuggest a practical use for circuit B.
34. 6(b)(iii)3 marksThe entire circuit in Figure 6 saturates at +- 13 V. What is the maximum input voltage that will NOT saturate this circuit?
35. 6(c)5 marksThree signals V_1, V_2 and V_3 are to be combined to produce an output V_o = -3V_1 - V_2 - 5V_3. The input resistance of the inputs must NOT be less than 10 kOmega and all resistor values must be less than 200 kOmega.…
36. 7(a)(i)1 markState the relationship between peak voltage, V_p, and root mean square voltage, V_rms, for an alternating sinusoidal voltage.
37. 7(a)(ii)2 marksCalculate the value of the direct current that will produce the same quantity of thermal energy in a particular resistor, as an alternating current that has a maximum value of 2.60 A.
38. 7(b)7 marksExplain the operation of an ideal transformer when a small alternating voltage is supplied to its primary winding.
39. 7(c)(i)2 marksCalculate the turns ratio, N_p / N_s, of the transformer.
40. 7(c)(ii)5 marksThe average rate of energy consumption in the houses served by the transformer is 78 kW. Calculate the peak value of the current in BOTH windings of the transformer.
41. 7(c)(iii)3 marksCalculate the resistive load in the secondary circuit of the transformer.
42. 8(a)(i)2 marksExplain what is meant by wave-particle duality.
43. 8(a)(ii)3 marksExplain what is meant by de-Broglie hypothesis.
44. 8(a)(iii)3 marksExplain what is meant by the photoelectric effect.
45. 8(b)(i)2 marksFind its threshold wavelength.
46. 8(b)(ii)3 marksFind the maximum energy of the photoelectrons when the metal is illuminated by light of wavelength 4 x 10^-7 m.
47. 8(b)(iii)2 marksFind the stopping potential.
48. 8(c)5 marksExplain whether or not red light will cause electrons to be emitted from sodium in (b).
49. 9(a)(i)3 marksExplain what is meant by the terms, 'activity', 'decay constant' and 'half life' of a radioactive substance.
50. 9(a)(ii)1 markState an equation relating the activity to the decay constant.
51. 9(a)(iii)3 marksDraw a diagram to show the path of a stream of Beta particles and Gamma rays in a uniform electric field.
52. 9(a)(iv)1 markWhat instrument could be used to detect Beta and Gamma radiation?
53. 9(b)(i)2 marksWrite a nuclear equation to represent the ^99_42 Mo decaying to ^99_43 Tc.
54. 9(b)(ii)2 marksA patient is injected with an 8.2 x 10^7 Bq sample of 99 Tc. How many gamma ray photons are initially produced within the patient each second?
55. 9(b)(iii)2 marksA small tumor that has collected ^99 Tc emits 38 gamma ray photons per second at a given time. How many ^99 Tc nuclei are located in the tumor at this time?
56. 9(c)(i)a)2 marksCalculate the fraction of the original ^40 K atoms remaining in the rock.
57. 9(c)(i)b)2 marksCalculate the number of half lives that has elapsed.
58. 9(c)(i)c)1 markCalculate the age of the rock.
59. 9(c)(ii)1 markFrom your answers in (c)(i) deduce the age of the solar system.