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CAPE Physics Unit 2 · 2001 · Paper 1

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.

  1. 1(a)3 marksState THREE properties of the electrostatic force between two stationary, charged particles.
  2. 1(b)1 markWrite an equation to express the magnitude of the electric force between two charges.
  3. 1(c)(i)1 markLocate on Figure 1 the forces F₁ and F₂ acting on Q₃ due to Q₁ and Q₂, respectively.
  4. 1(c)(ii)2 marksCalculate a value for F₁.
  5. 1(c)(iii)1 markCalculate a value for F₂.
  6. 1(c)(iv)2 marksHence calculate the magnitude of the resultant force acting on Q₃.
  7. 2(a)(i)1 markIndicate on Figure 2 the direction of the velocity of the charged particle, v.
  8. 2(a)(ii)1 markIndicate on Figure 2 the direction of the magnetic force acting on the charge particle, F.
  9. 2(b)4 marksExplain why the magnetic field does not affect the kinetic energy of the charged particle.
  10. 2(c)(i)3 marksCalculate the orbital speed of the proton.
  11. 2(c)(ii)1 markCalculate the period of revolution of the proton.
  12. 3(a)1 markDefine 'capacitance'.
  13. 3(b)(i)1 markWrite a formula for the capacitance of a parallel plate air capacitor in terms of the area of the plates, A, and their distance apart, d.
  14. 3(b)(ii)3 marksHence show that the energy per unit volume, U, of the capacitor is given by U = (ε₀ E²) / 2, where ε₀ is the permittivity of free space.
  15. 3(c)(i)2 marksCalculate the capacitance in air.
  16. 3(c)(ii)3 marksCalculate the energy per unit volume, U.
  17. 4(a)(i)1 markFind the amplitude of the current.
  18. 4(a)(ii)1 markFind the period of the alternating current.
  19. 4(a)(iii)1 markFind the frequency of the alternating current.
  20. 4(b)2 marksFor the waveform represented in Figure 4, write an equation which represents how the alternating current, I, varies with time, t.
  21. 4(c)(i)2 marksSketch a graph to show how the current varies as it flows through the resistor.
  22. 4(c)(ii)1 markTo smoothen the rectified potential difference across the resistor, a capacitor is placed in the circuit of Figure 5. Indicate on Figure 5 where you would place this capacitor.
  23. 4(c)(iii)1 markShow on the graph sketched in part (c)(i) the effect on the current of placing the capacitor in the circuit.
  24. 4(c)(iv)1 markOn the sketched graph, label the region where the capacitor is being charged.
  25. 5(a)5 marksWith the aid of a labelled diagram explain the principle of operation of an ideal transformer.
  26. 5(b)(i)1 markCalculate the current in the transmission cable.
  27. 5(b)(ii)2 marksCalculate the power lost in the transmission cable.
  28. 5(iii)2 marksCalculate the percentage power lost in the transmission cable if the voltage was not stepped up.
  29. 6(a)5 marksDraw a truth table for the logic network shown in Figure 6.
  30. 6(b)3 marksDesign a logic network using a combination of AND and NOR gates to give the same output as in part (a).
  31. 6(c)2 marksName and draw the single gate which is equivalent to the network.
  32. 7(a)2 marksWhy are the energy values of these levels negative?
  33. 7(b)(i)2 marksAn incoming electron of kinetic energy 20.0 × 10⁻¹⁹ J collides inelastically with the hydrogen electron in its ground state. Indicate, by means of vertical arrows on the left side of the energy level diagram, possible…
  34. 7(b)(ii)1 markWhat becomes of the incident electron?
  35. 7(c)(i)2 marksAn incoming photon of wavelength 1.02 × 10⁻⁷ m collides with a similar hydrogen electron in its ground state also. Calculate the energy of this photon.
  36. 7(c)(ii)1 markIndicate on the right side of the energy level diagram the possible level(s) to which the absorbing electron rises.
  37. 7(c)(iii)1 markWhat becomes of the incident photon?
  38. 7(c)(iv)1 markState what would be the case in (c)(i) if the photon had a shorter wavelength of 0.95 × 10⁻⁷ m.
  39. 8(a)(i)1 markComplete the nuclear reaction: ²₁H + ³₁H = ⁴₂He + ______
  40. 8(a)(ii)1 markComplete the nuclear reaction: ²³⁵₉₂U + ¹₀n = ¹⁴⁸₅₇La + ⁸⁵₃₅Br + ______
  41. 8(b)(i)3 marksCalculate the energy released in EACH of the reactions given in Part (a).
  42. 8(b)(ii)2 marksCalculate the energy released per unit mass of combining nuclides for EACH of the reactions given in Part (a).
  43. 8(c)(i)1 markGive ONE problem associated with using reaction (a)(i) as a source of energy.
  44. 8(c)(ii)1 markGive ONE problem associated with using reaction (a)(ii) as a source of energy.
  45. 8(c)(iii)1 markHow can the second reaction be controlled?
  46. 9(a)3 marksFor radioactive decay A = λN, complete the table giving the name of EACH term and the corresponding S.I. unit.
  47. 9(b)(i)1 markState the physical condition which ensures a good though not exact obedience to the radioactive decay law N = N₀ exp(-λt).
  48. 9(b)(ii)1 markCalculate the number of atoms in 1 g of ²²⁶₈₈Rn.
  49. 9(c)(i)2 marksA particular radioactive element has a half-life of 100 years. Calculate its value of λ.
  50. 9(c)(ii)3 marksAfter how many years will it take a whole year for this element to emit the same number of particles as it does in one day now? (1 year = 365 days).

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