Gamma rays (high-energy photons) of energy 1.02 MeV are scattered from electrons that are initially at rest. If the scattering is symmetric, that is, if the scattered photon and the recoil electron leave at equal angles above and below the original photon direction, find (a) the scattering angle and (b) the energy of the scattered photon.

Gamma rays (high-energy photons) of energy 1.02 MeV are scattered from electrons that are initially at rest. If the scattering is symmetric, that is, if the scattered photon and the recoil electron leave at equal angles above and below the original photon direction, find (a) the scattering angle and (b) the energy of the scattered photon.