Photon-electron collision*
A photon of energy E0 and wavelength λ0 collides head-on with a free electron of rest mass m0 and speed V, as shown. The photon is scattered at 90?
(a) Find the energy E of the scattered photon
(b) The outer electrons in a carbon atom move with speed v/c ≈ 6 × 10-3. Using the result of part (a), estimate the broadening in wavelength of the Compton scattered peak from graphite for λ0 = 0.711 × 10-10 m and 90? scattering. The rest mass of an electron is 0.51 MeV and h/(m0c) = 2.426×10-12 m