Exploring the Compton Effect: Solving Homework Questions on X-ray Scattering

[Propagandhi]

I have 3 homework questions that I need help with:

Q1 X-rays having an energy of 543 keV undergo Compton scattering from a target. The resulting Compton shift is 3.83x1E-13 m. Find the energy of the recoiling electron. (units: keV)


Q2 Find the maximum fractional energy loss for a 0.491 MeV gamma ray that is Compton scattered from a free electron.


Q3 Find the maximum fractional energy loss for a 0.778 MeV gamma ray that is Compton scattered from a free proton.

As far as these questions go, the only thing I can think of doing is somehow manipulating the compton shift equation

delta λ =h/MeC (1-costheta)

or should I use the equation E=hc/λ?

Any help with these problems is very appreciated. Also, if I'm not in the correct forum, please direct me to the correct one.

Thanks.

 

[skanda9051]

In 1st problem you have given scatter value (3.83*10-13 m) which is less value compare to incident wavelength:)that i have calculated (3.6*10-12m). According to compton effect wavelength should increas after scattering hence problem is wrong:-)