Answer to Question #281420 in Physics for Grazi

Question

X-rays of wavelengths 1×10^-10 are scattered from a carbon block to undergo a 90° Campton scattering.

a) calculate the Campton shift

b) what is the kinetic energy of the recoiling electron

Answer 1

The shift is

$$\lambda-\lambda'=\frac h{m_ec}(1-\cos\theta)=2.45·10^{-12}\text{ m}.$$

The kinetic energy of the recoiling electron:

$$E_r=\frac{hc/\lambda}{1+h/(m_e\lambda c)(1-\cos\theta)}=12.1\text{ keV}.$$