Answers to PC1144 AY0708 Paper Part I 1(i) E = K.E. + rest energy 1(ii)Use E =mc2, p=mu 1(iii)E=pc=hc/ 2(i) Wavefunction & probability density
2(ii)Classically: Spend more time at end of amplitude Quantum: Zero probability at certain region, and non-zero
Answers to PC1144 0203 Paper 1(a)(i) Hint: Use inverse Lorentz transformation equation 1(a)(ii) Hint: Use Lorentz transformation equation 1(b) t 17 s 1(c) Excess = 19 m 2(a) Total energy is the sum of the kinetic energy and rest mass energy 2(b) v 0.901c
Answers to PC1144 0304 Paper Part I 1
t 3.04 years No. In the passengers frame the distance between Earth and X has contracted, while to a stationary observer on Earth (or X), the time in the spaceship has dilated. v 0.994c vc v 0.194c vc
2(a) 2(b) 2(c) 2
Answer to PC1144 AY0405 Paper Part I 1(a) Refer textbook 1(b) Photons of 10 different energies can be emitted. 2 Hint: Approach from conservation of momentum and energy 3(a)(b)
3(c) 4(a) 4(b) 5 Part II
The difference between the energy levels of the harmo
Answers to PC1144 AY0607 Paper Part I 1(a) 2(a) 3 4(a)
0.693 s 1(b) 205.6 m 49.38 minutes 2(b) 8.89 1011 m Probability = 0.198, greater than classical as classical probability = 0.10 1 (0) 2 (0) , 2 ( L) 3 ( L) At x 0 , 1 ( x) 2 ( x ) At x L , 2 ( x ) 3 (
Answer to PC1144 0506 Paper Part I 1 Mistakes: (i) The wavefunction is not sinuisoidal before the potential barrier. (ii) The wavefunction is discontinuous at both sides of potential barrier. One is not of the same value, another one has different first d