An x-ray beam containing single-frequency (monoenergetic) photons with 50 keV energy collide with carbon-12 atoms. Considering single-event Campton scattering, if the scattered photons are redirected at 30 degrees off the original beam direction, calculate

(i) the Compton photons energy, and

(ii) the kinetic energy of the Compton electrons. The stationary mass of an electron (e-) is 9.109 1031 .

(iii) if we make the diffraction angle smaller (but still larger than 0), how does the Compton photon energy change, and how does the kinetic energy of the Compton electrons change?