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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 Cssample, 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?

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 E_n, Ψ_n Ψ_n² for an electron in an infinite potential well with a = 10 A^° and a = 20 A^°. Plot separately, to scale Ψ_n Ψ_n²for n=1 to 6.

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