Problem 3: (a) A photon (denoted by the symbol y, which is not the same as the y relativity factor in our equa- tions) of initial energy E; scatters off of an electron of mass me that is initially at rest (this is known as Compton scattering). If the scattering angles of the photon and electron are both 0, find 0. Before After e (b) Now let us no longer demand that the scat- tered photon and scattered electron have the same scattering angle. That is, let the photon scatter at angle 0 (not necessarily the same 0 that you calcu- lated in part a), and let the electron scatter at some unknown angle. Calculate the energy of the scat- tered photon as a function of scattering angle, E(60). Your answer can also be in terms of E¡, me, and other constants, but it should not be in terms of the electron's unknown scattering angle.

Problem 3: (a) A photon (denoted by the symbol y, which is not the same as the y relativity factor in our equa- tions) of initial energy E; scatters off of an electron of mass me that is initially at rest (this is known as Compton scattering). If the scattering angles of the photon and electron are both 0, find 0. Before After e (b) Now let us no longer demand that the scat- tered photon and scattered electron have the same scattering angle. That is, let the photon scatter at angle 0 (not necessarily the same 0 that you calcu- lated in part a), and let the electron scatter at some unknown angle. Calculate the energy of the scat- tered photon as a function of scattering angle, E(60). Your answer can also be in terms of E¡, me, and other constants, but it should not be in terms of the electron's unknown scattering angle.