We have to show that , the fractional loss of energy of a photon during Compton collision is given by

Solution:             Click For PDF Version

Let the frequencies of the incident and scattered photon be , and , respectively.

The loss of energy of the photon in Compton scattering will be given by

where , and are the wavelengths of the incident and scattered photons, respectively.

Substituting,

,

we get

Using the Compton scattering formula

We rewrite