SHOW YOUR COMPLETE SOLUTION. MUCH BETTER IF YOU'LL WRITE THE SOLUTION ON A PAPER. 4. [10 pts.] Compton scattering. Consider an incident photon with energy E on a target electron of mass m initially at rest in the lab frame (see gure). Show that the energy of the scattered photon E' is given by E' E _ E l + 1 (l cos 6) H (7) where E is the incident energy of the photon. (Hint: refer to the gure on the right showing the momentum vectors forming a triangle then use the law of cosines.) t [m) .. .... x [m) Figure 1: Spacetime diagram template. Dotted lines are invariant hyperbolas while the dashed lines are the light cones