Compton Scattering: .1 MeV Photon & Recoil Energies

phyguy321
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Homework Statement


A photon of initial energy .1 MeV undergoes Compton scattering at an angle of 60degrees.
Find:
The energy of the scattered photon
The recoil energy of the electron
the recoil angle of the electron

Homework Equations


\Delta\lambda= (h/mc)(1-cos\theta)

The Attempt at a Solution

 
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I don't think that formula will help you very much except for the energy of the scattered photon. You really need to use relativistic conservation of energy and momentum for the whole event.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.

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