00:01
In this question we have to derive cot 5 is equals to 1 plus e tan theta by 2 where 5 is the recoil angle of electron and theta is the incident angle of photon where the incident photon scatters in two directions where one is the electron and second is the photon.
00:28
For here we have to apply the law of conservation of energy.
00:34
According to this, in the horizontal directions, h by lambda is equal h by lambda dash cos theta plus p .e.
00:45
Cos 5.
00:47
This will become our first equation.
00:49
Here, h by lambda is the momentum of, initial momentum of photon.
00:53
This is the final momentum of photon, and this term is final momentum of electron.
01:01
Then again using the law of conservation in the vertical direction we have 0 is equal to h by lambda dash sine theta minus pe sine 5.
01:15
This will become our second equation.
01:19
Now rearranging this equation we have pe cos 5 equals to h by lambda minus h by lambda dash cost theta.
01:30
This will be our third equation...