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Compton explains this phenomenon using the Quantum theory of radiation. He considered X-ray as a stream of photons,
v' = The frequency of scattered photons.
m
0
= Rest mass of an electron.
p = Recoil momentum of an electron.
= Angle of the scattered photon.
= Angle of recoil electron.
According to the theory of relativity, the energy of an electron at rest is m
0
c
2
and after recoil is
From the law of conservation of energy,
