Problem 2: Compton Effect
a) In a Compton scattering experiment, the wavelength of the incident x-rays is 7.078 × 10^-2 [nm], while the wavelength of the outgoing x-ray is 7.314 × 10^-2 [nm]. At what angle was the scattered radiation measured?
b) In a Compton scattering experiment, a detector is set at an angle of 57°. What must the frequency of the incoming x-rays be in order to produce a final x-ray with a frequency 1% less than the initial frequency?
Problem 3: de Broglie Matter Waves
a) Show that the de Broglie wavelength of a particle is approximately the same as that of a photon with the same energy for the case when the energy of the particle is much greater than its rest energy.