(a) A mass is undergoing simple harmonic motion with amplitude x₀. The maximum velocity of the mass has magnitude v₀. On [Figure 3.1], show the variation with displacement x of the velocity v of the mass. (b) A straight stiff wire carries a constant current in a region of uniform magnetic flux density. The angle θ between the direction of the current and the direction of the magnetic field is varied. The maximum force on the wire is F₀. On [Figure 3.2], show the variation with angle θ of the force F on the wire for values of θ between 0° and 90°. (c) A sinusoidal supply has frequency 250 Hz and r.m.s. potential difference 2.8 V. On the axes of [Figure 3.3], show quantitatively the variation with time t of the voltage V for one cycle of the varying voltage. (d) One particular fission reaction may be represented by the equation ²³⁵U + ¹n → ¹⁴¹Ba + ⁹²Kr + 3¹n. The variation with nucleon number A of the binding energy per nucleon B_E is shown in [Figure 3.4]. On [Figure 3.4], mark on the line the position of (i) the nucleus ²³⁵U (label this point U), (ii) the nucleus ¹⁴¹Ba (label this point Ba), (iii) the nucleus ⁹²Kr (label this point Kr).

1. (a)On Fig. 3.1, show the variation with displacement x of the velocity v of the mass.[2]
2. (b)On Fig. 3.2, show the variation with angle θ of the force F on the wire for values of θ between 0° and 90°.[2]
3. (c)On the axes of Fig. 3.3, show quantitatively the variation with time t of the voltage V for one cycle of the varying voltage.[2]
4. (d)(i)the nucleus ²³⁵U (label this point U),[2]
5. (d)(ii)the nucleus ¹⁴¹Ba (label this point Ba),
6. (d)(iii)the nucleus ⁹²Kr (label this point Kr).

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.