Question

3- Determine the maximum wavelength shift in the Compton scattering of photons from protons.

Answer 1

The Compton shift is given by,

$\lambda_f -\lambda_i=\frac{h}{mc}(1-\cos\theta)$

Maximum wavelength shift occurs when $\theta=180^o$

So, maximum shift,

$\lambda_f - \lambda_i =\frac{h}{mc}(1-cos180^o)=\frac{h}{mc}(1-(-1))=\frac{2h}{mc}$so, for proton,

$\lambda_f - \lambda_i=\frac{2h}{mc}=\frac{2*6.626*10^{-34}}{1.67*10^{-27}*3*10^{-8}}=2.64*10^{-15}m$(Answer)