Question

A high frequency proton scatters off of an electron. At what angle should a detector be placed to detect the photon if the change in wavelength is 1.4 x 10-4 nm?

Answer 1

According to the Compton's effect, the change in wavelength due to the scattering is given by

                                   

Where = 2.43 x 10^-12 m is Compton wavelength of the electron, is scattering angle.

Given,

                              

putting all the values in the Compton scattering equation, we get

                              

or,

or,

or,

Hence, the detector should be placed at an angle of 19.54 degrees to detect the photon.