Aphoton with energy 662 kev collides with an electron in a metal sample and is scattered causing the electron to recoil. the electron is assumed to be stationary before the collision. write down the relativistic equation of conservation of energy and the equations for the conservation of the horizontal and vertical components of momentum for this collision but do not solve these. (a) a gamma ray photon of wavelength 1.88 pm strikes a metal target and the wavelength of the scattered radiation is measured at an angle (b) 0 90° to the incident beam. calculate: i) the wavelength of the scattered radiation, ii) the kinetic energy of the recoiling electron, ii) the fraction of the energy of the incident photon lost in the collision with the electron, and (iv) the angle made by the trajectory of the recoiling electron with the incident beam. write down an expression for the photon's fractional loss in energy k/e in the type of collision considered in (b) and hence demonstrate with a numerical estimate that the fractional energy loss for visible light is orders of magnitude less than for gamma-ray photons. (n. b., k is kinetic energy, e is total energy)