2) Consider a photon that scatters from an electron at rest. If the photon scatters at an angle 60° with a wavelength (X') that is twice its incident wavelength (A), then the angle at which the electron____________ degrees. (Answer should be an integer.)

Answer: 30

3) For a particle in a one dimensional box, the ground state energy is given by Eo. The allowed energies of such a particle are

a) 2E0

b) 4E0

c) 6E0

d) 9E0

Answer:  b) 4E0, d) 9E0

4) Consider a particle in a two dimensional box whose ground state energy is E0. Then the energy E = 13€, is two fold degenerate.

a) True

b) False

Answer:  (A) TRUE

5) Suppose the 2nd energy level of a particle in a cubical box is given by E = 6Eg, where Eg is the ground state energy. Then the immediate 3rd energy level will be _______(Answer should be an integer.) fold degenerate.

Answer: 3

6) The non-zero commutator brackets are

a) [x,pr]

b) [x, py]

c) [x2, pr]

d) [x, pz]

Answer: (A), (C), (D)

Answer:  (A) TRUE