HW5

1. Calculate the Compton shifts for experiments with individual helium atoms (of the most abundant kind) that move very very slowly (as in a laser cooled gas that is trapped), for wavelengths of 1 nm, 10 pm and 1 mm, and for an angle from the direction of the incoming radiation of 20 degrees. (2 points). Which kind of radiation would you prefer for these experiments - and most importantly - for what reason(s)? (3 points)

2. Derive the quantization conditions for the radii of the stable (not radiating) orbits in the Bohr model of the hydrogen atom. State clearly what you assume at the start of your derivation and show every step of the derivation to get full credit. (5 points)