An x-ray photon is scattered from a free electron (mass m) at rest. The wavelength of the scattered photon is A', and the final speed of the struck electron is v.
(a) What was the initial wavelength λ of the photon? Express your answer in terms of λ', v, and m.
(b) Through what angle Φ is the photon scattered? Express your answer in terms of λ, λ', and m.
(c) Evaluate your results in parts (a) and (b) for a wavelength of 5.10 x 10-3nm for the scattered photon and a final electron speed of 1.80 x 108 m/ s. Give Φ in degrees.