5. In a Compton collision with an electron, a photon of violet light (λ=4000 Å) is backscatteredthrough an angle of 180°. (a) How much energy (eV) is transferred to the electron in thiscollision? (b) Compare your result with the energy this electron would acquire in aphotoelectric process with the same photon. (c) Could violet light eject electrons from a metalby Compton collision? Explain.6. An electron initially at rest recoils from a head-on collision with a photon. Show that thekinetic energy acquired by the electron is 2hfα/(1+2α), where α is the ratio of the photon’sinitial energy to the rest energy of the electron.7. A photon undergoing Compton scattering has an energy after scattering of 80 keV, and theelectron recoils with an energy of 25 keV. (a) Find the wavelength of the incident photon. (b)Find the angle at which the photon is scattered. (c) Find the angle at which the electronrecoils.