A gamma ray of 810 keVenergy Compton scatters from an electron. Find the energy

Question

A gamma ray of 810 keVenergy Compton scatters from an electron. Find the energy of thephoton scattered at 110°, thekinetic energy of the scattered electron, and the recoil angle ofthe electron.
keV (photon)
keV(electron)
° I got 552.97KeV for the electron, and 15.16 degrees for therecoil angle. Not sure how to get the energy of the photon...cananyone help me out?? A gamma ray of 810 keVenergy Compton scatters from an electron. Find the energy of thephoton scattered at 110°, thekinetic energy of the scattered electron, and the recoil angle ofthe electron.
keV (photon)
keV(electron)
° I got 552.97KeV for the electron, and 15.16 degrees for therecoil angle. Not sure how to get the energy of the photon...cananyone help me out??

Explanation / Answer

hc/ = E = 810 keV, = 110o = hc/E = 1.531*10-12 m ' = + (h/mc)*(1 - cos) = 4.787*10-12m the energy of scattered photon = hc/' = 259 keV

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