Answer:
a)
For this case we know the following values:
So then if we replace we got:
b)
With
And replacing we have:
And then the scattered wavelength is given by:
And the energy of the scattered photon is given by:
c)
Explanation
Part a
For this case we can use the Compton shift equation given by:
For this case we know the following values:
So then if we replace we got:
Part b
For this cas we can calculate the wavelength of the phton with this formula:
With
And replacing we have:
And then the scattered wavelength is given by:
And the energy of the scattered photon is given by:
Part c
For this case we know that all the neergy lost by the photon neds to go into the recoiling electron so then we have this: