00:03
Given, a photon is scattered by a free electron at rest.
00:08
After scattering, the photon moves at an angle 120 degree.
00:13
Thus, the scattering angle given is 120 degree.
00:16
Wave length of the incident photon is given to be 0 .611 nanometers.
00:25
We need to find the kinetic energy of the recoil electron.
00:33
This problem is based on competent scattering according to which when an incident photon gets scattered from a free electron, its wavelength increases, let's say from an incident value lambda to another value lambda prime.
00:50
This wavelength shift, which is also known as compton shift, is given by the formula h by m0c 1 minus cos 5, where h is the planx constant, m0 is the rest mass of the electron, and h by m0c is defined as the compton wavelength.
01:10
Which carries a value 2 .246 into 10 to the power minus 12 meters.
01:20
Let the kinetic energy of the recoil electron be k.
01:26
Since the incident photon has a wavelength lambda and the free electron is initially at rest, the total energy of the system, which is the photon plus the free electron, will be hc by lambda and the rest mass of the electron that is m0c square.
01:47
After the scattering, the electron will also gain a kinetic energy...