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CAPE Physics Unit 2 · 2007 · Paper 2

60 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.

Practise this paper
  1. 1(a)1 markState why an ammeter and a rheostat were included in the solenoid circuit.
  2. 1(b)5 marksUsing the experimental data in Table 1 for a current of 0.94 A, plot a graph showing the variation of magnetic flux density B along the axis of the solenoid against distance x from the centre on the provided grid.
  3. 1(c)(i)1 markState what conclusions can be drawn about the region over which the formula B = μ₀ n I is valid.
  4. 1(c)(ii)1 markState what conclusion can be drawn about the magnetic field strength at the end of the solenoid.
  5. 1(d)2 marksUse the formula to calculate the total number of turns of wire in the solenoid.
  6. 2(a)4 marksPlot a graph of resistance R against temperature θ on the grid provided.
  7. 2(b)(i)1 markUse your graph to determine the resistance of the thermistor at 75 °C.
  8. 2(b)(ii)3 marksState, with reasons, whether the LED will be ON or OFF when the temperature of the thermistor is 75 °C.
  9. 2(b)(iii)2 marksDetermine the temperature at which the LED turns on as the temperature is increased from 40 °C.
  10. 3(a)1 markCalculate and fill in the missing ln I values in Table 3.
  11. 3(b)(i)4 marksPlot a graph of ln I against x on the provided grid and draw the best-fit line through the points.
  12. 3(b)(ii)a)2 marksFrom your graph, determine the linear absorption coefficient μ.
  13. 3(b)(ii)b)2 marksFrom your graph, determine the initial intensity I₀.
  14. 3(c)1 markExplain how the value of I₀ can be measured directly.
  15. 4(a)(i)2 marksExplain why the electromotive force (e.m.f.) of a battery is not necessarily equal to the potential difference across its terminals.
  16. 4(a)(ii)5 marksDescribe in detail, with the aid of a diagram, how a slide-wire potentiometer can be used to determine the e.m.f. of a battery, assuming a standard cell with e.m.f. 1.02 V is available.
  17. 4(a)(iii)2 marksExplain why a potentiometer is expected to give a more accurate measurement of e.m.f. than a moving coil voltmeter.
  18. 4(a)(iv)3 marksA cell has an e.m.f. of 1.51 V as measured by a potentiometer. When a 5.0 Ω resistor is connected in parallel with the cell, the terminal p.d. falls to 1.26 V. Calculate the internal resistance of the cell.
  19. 4(b)(i)6 marksCalculate the values of currents x and y.
  20. 4(b)(ii)2 marksDetermine the potential difference between points P and Q.
  21. 5(a)(i)1 markDefine the farad, the unit of capacitance.
  22. 5(a)(ii)2 marksDescribe how the dimensions of a parallel plate capacitor affect its capacitance.
  23. 5(b)(i)3 marksDerive the formula for the equivalent capacitance of two capacitors connected in series.
  24. 5(b)(ii)2 marksDerive the formula for the equivalent capacitance of two capacitors connected in parallel.
  25. 5(c)(i)4 marksFind the equivalent capacitance of the network of capacitors in the circuit shown in Figure 3.
  26. 5(c)(ii)2 marksCalculate the total charge stored by this system of capacitors.
  27. 5(c)(iii)2 marksDetermine the charge stored by the 8 μF capacitor and the potential difference across it.
  28. 5(c)(iv)2 marksFind the charge on the 10 μF capacitor.
  29. 5(c)(v)2 marksCalculate the total energy stored by this system.
  30. 6(a)(i)2 marksExplain the term 'depletion region' and state how it is formed.
  31. 6(a)(ii)3 marksDraw a diagram showing the p-n junction under forward bias, indicate the direction of current I_D, and comment on the thickness of the depletion region.
  32. 6(a)(iii)3 marksExplain why a significant current flows under forward bias whereas the current is virtually zero under reverse bias.
  33. 6(b)(i)1 markIdentify which segments of the display must be grounded to display the digit 2.
  34. 6(b)(ii)2 marksIf the current in each illuminated segment is 20 mA, calculate the total current drawn by the display when showing the digit 2.
  35. 6(b)(iii)2 marksCalculate the resistance required for each of the identical protective series resistors in the display circuit.
  36. 6(c)(i)2 marksFind the peak value of the potential difference across the 1 kΩ resistor.
  37. 6(c)(ii)1 markCalculate the peak value of the current I through the 1 kΩ resistor.
  38. 6(c)(iii)4 marksSketch the waveforms for V_i, I, and V_R using the same time scale, with each full cycle spanning at least 8 cm on the time axis.
  39. 7(a)(i)2 marksDraw up the truth tables for a 2-input NOR gate and a 2-input NAND gate.
  40. 7(a)(ii)2 marksShow how a NAND gate can be constructed using only the four NOR gates of a quad-NOR integrated circuit.
  41. 7(a)(iii)3 marksIn a two-door car, each door switch outputs logic 1 only when properly closed. A warning light must illuminate if either door is not closed. Construct a truth table for this system and draw the circuit diagram using an…
  42. 7(b)(i)3 marksDraw the logic circuit diagram for an S-R flip-flop and describe how the output can remain unchanged despite changes in the input state.
  43. 7(b)(ii)3 marksCopy and complete Table 4 showing the logic states at outputs X, Y, and Z for clock pulses 0 through 4, given all outputs start at zero.
  44. 7(c)(iii)a)2 marksWrite an equation expressing the output voltage V_out in terms of the input voltages V_x, V_y, and V_z.
  45. 7(c)(iii)b)3 marksCalculate the value of V_out for the binary inputs (Z, Y, X): (i) 001, (ii) 101, and (iii) 110.
  46. 7(c)(iii)c)2 marksBriefly explain how this circuit functions as a digital-to-analogue converter (DAC).
  47. 8(a)(i)4 marksDescribe, with a labelled diagram of the apparatus, an experiment to show that radioactive decay is a random process, using a small long-lived radium source. Describe how to present the data and state the conclusion.
  48. 8(a)(ii)2 marksState the mathematical relationship between the number of parent nuclei present and the activity of a radioactive source.
  49. 8(a)(iii)2 marksExplain the meaning of 'half-life' and state the equation relating half-life to the decay constant λ.
  50. 8(b)(i)3 marksCalculate the number of parent atoms present at time t = 0.
  51. 8(b)(ii)2 marksDetermine the activity of the source after 9 years.
  52. 8(b)(iii)3 marksCalculate the activity of the source after 12 years.
  53. 8(b)(iv)4 marksIf the source cannot be safely disposed of until its activity falls below 100 Bq, calculate the minimum number of years it must be stored.
  54. 9(a)3 marksExplain the meaning of 'photoelectric effect' and discuss why the existence of a threshold cut-off frequency provides evidence for the particle model of light over the wave model.
  55. 9(b)(i)4 marksCalculate the number of photons incident on the illuminated surface per second.
  56. 9(b)(ii)3 marksCalculate the number of photoelectrons emitted per second.
  57. 9(c)(i)2 marksExplain how the maximum kinetic energy of the photoelectrons can be determined experimentally.
  58. 9(c)(ii)3 marksWrite down the photoelectric equation based on the conservation of energy and define each term in the equation.
  59. 9(c)(iii)3 marksUse the photoelectric equation to calculate the threshold wavelength for photo-emission from the metal.
  60. 9(c)(iv)2 marksState, with a reason, whether photoelectric emission will occur when light of wavelength 680 nm is incident on this metal surface.

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