1. Ultraviolet light of wavelength 280 nm is used in an experiment on photoelectric effect with lithium (c = 2.5 eV) cathode. Find (a) the maximum kinetic energy of the photoelectrons and (b) the stopping potential.
2. Consider an X-ray beam, with λ = 1.00 A° and also a y-ray beam from a Cs sample, with λ = 1.88 x 10-2 A°. If the radiation scattered from free electrons is viewed at 90° to the incident beam:
(a) what is the Compton wavelength shift in each case?
(b) What kinetic energy is given to recoiling electron in each case?
(c) What percentage of the incident photon energy is lost in the collision in each case?
3. Find the amplitude A in the wave function for the infinite potential well. Determine the probability of finding a particle of mass m between x = 0 and x = a/10 if it is in the n = 4 state.
4. Use a computer program or Mathematica to calculate values En, Ψn Ψn2 for an electron in an infinite potential well with a = 10 A° and a = 20 A°. Plot separately, to scale Ψn Ψn2 for n=1 to 6.