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CAPE Physics Unit 2 · 2004 · Paper 2

50 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)(i)1 markIdentify the problem affecting the circuit in Figure 1a.
  2. 1(a)(ii)1 markRedraw the circuit so that it will work.
  3. 1(a)(iii)1 markState which readings should be taken.
  4. 1(b)(i)a)3 marksDetermine the e.m.f., E, of the battery using the graph in Figure 1b.
  5. 1(b)(i)b)3 marksDetermine the internal resistance, r, of the battery using the graph in Figure 1b.
  6. 1(b)(ii)1 markExplain how the result would have been affected if the resistance of the voltmeter were comparable to that of R.
  7. 2(a)(i)4 marksPlot a graph of input voltage, V_i, against output voltage, V_o, on the grid provided on page 7.
  8. 2(a)(ii)2 marksUse the graph to determine the turns ratio of the transformer.
  9. 2(a)(iii)1 markCalculate the number of turns in the primary windings if the number of turns in the secondary windings is 30 000.
  10. 2(b)(i)1 markComplete the design of the circuit on the diagram to achieve this objective using all given components.
  11. 2(b)(ii)2 marksSketch on Figure 2b the output voltage that would be seen on the oscilloscope.
  12. 3(a)4 marksShow that the photoelectric equation hf - Φ = (1/2)m_e v^2 can be written as V = (hc/e)(1/λ) - (hc/e)(1/λ_0), where V is stopping potential, c is speed of light, e is electron charge, λ is wavelength of light used, and…
  13. 3(b)(i)3 marksUse the graph in Figure 3b to determine Planck's constant.
  14. 3(b)(ii)3 marksUse the graph in Figure 3b to determine the cut-off wavelength λ_0.
  15. 4(a)(i)3 marksState THREE facts about the electrostatic force that exists between these point charges.
  16. 4(a)(ii)1 markWrite an expression for the electric field experienced by charge q_2 due to charge q_1.
  17. 4(a)(iii)3 marksCopy Figure 4a into your answer booklet and draw the resulting electric field lines. Indicate with an X the point where the resulting electric field is zero.
  18. 4(b)(i)7 marksFind the value of d.
  19. 4(b)(ii)2 marksState what assumption was made to calculate the value of d.
  20. 4(c)4 marksCalculate the electric potential at point P located at the centre of the square. (Use Coulomb's constant 1/(4πε_0) = 9 × 10^9 N m^2 C^-2).
  21. 5(a)3 marksExplain, with the aid of a diagram, Fleming's Left Hand Rule.
  22. 5(b)(i)3 marksCopy Figure 5 into your answer booklet and draw the path of the electron as it passes through the magnetic field. On the same diagram, draw the path if the electron is replaced with a proton.
  23. 5(b)(ii)2 marksExplain what work is done on the electron as it passes through the magnetic field.
  24. 5(b)(iii)3 marksShow that the path described by the electron in the magnetic field is a circle of radius r given by r = mv / (Be), where m is mass of electron and e is electron charge.
  25. 5(b)(iv)2 marksOn the Figure 5 copied in your answer booklet, draw the path of the electron if the magnetic field B was reduced to half its value.
  26. 5(c)7 marksDetermine the mass, m_x, of the second particle.
  27. 6(a)(i)4 marksShow that the closed loop voltage gain, A, in the circuit is given by A = 1 + R_f / R_i.
  28. 6(a)(ii)2 marksExplain how the circuit differs from that of an inverting amplifier circuit.
  29. 6(a)(iii)2 marksState what the input impedance of the non-inverting amplifier is.
  30. 6(b)2 marksThe saturation voltage of the non-inverting amplifier is 15 V. If R_f = 100 kΩ and R_i = 50 kΩ, determine the maximum input voltage, v_i, such that saturation just occurs.
  31. 6(c)6 marksDetermine the value of R_f and the range of the rheostat R_s.
  32. 6(d)4 marksDesign a circuit to combine two signals v_1 and v_2 to form an output v_o = -v_1 - 20v_2, where the minimum input resistance for both signal inputs is no less than 10 kΩ.
  33. 7(a)(i)2 marksConstruct the truth tables for the AND gate and the Exclusive-OR (EX-OR) gate.
  34. 7(a)(ii)4 marksConstruct the truth table for the circuit in Figure 7a and state whether or not the circuit will work.
  35. 7(b)(i)3 marksExplain the operation of the Half-Adder.
  36. 7(b)(ii)3 marksCopy the waveforms A and B from Figure 7b into your answer booklet and carefully sketch the resulting output waveforms S and C directly underneath.
  37. 7(b)(iii)5 marksDraw a circuit to implement a Full-Adder using the half-adder circuit shown in Figure 7b, and explain its operation.
  38. 7(b)(iv)3 marksDetermine the sum output, S, and carry output, C_out, for the Full-Adder inputs shown in Figure 7c.
  39. 8(a)(i)3 marksExplain the term: Continuous x-ray spectrum.
  40. 8(a)(ii)3 marksExplain the term: Characteristic x-ray spectrum.
  41. 8(a)(iii)2 marksExplain the term: Cut-off wavelength.
  42. 8(b)(i)4 marksCalculate the photon energies corresponding to K_β and K_α in eV.
  43. 8(b)(ii)4 marksDetermine which substance from the table could be used as a filter to absorb the K_β line much more strongly than the K_α line, and explain your answer.
  44. 8(b)(iii)4 marksCalculate the cut-off wavelength in picometers for molybdenum.
  45. 9(a)(i)5 marksIn the equation N = N_0 e^(-λt), explain the meaning of the symbols and define the terms activity, A, and half-life, t_(1/2).
  46. 9(a)(ii)3 marksShow that the half-life of the sample can be written as (N ln 2) / A.
  47. 9(b)(i)2 marksDetermine the half-life of the sample from Figure 9.
  48. 9(b)(ii)2 marksDetermine the decay constant of the sample from Figure 9.
  49. 9(b)(iii)2 marksDetermine the activity at 1000 s from Figure 9.
  50. 9(c)6 marksCalculate the rate at which thermal energy is generated in 1 kg of Plutonium-238. (1 year = 3.156 × 10^7 s).

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