Answer to Question #304569 in Quantum Mechanics for Sura

Question

. (a) Find the change in wavelength of 80-pm x-rays that are

scattered 120° by a target. (b) Find the angle between the directions of the recoil electron and the incident photon. (c) Find

the energy of the recoil electron.

Answer 1

$\Delta \lambda=\lambda(1-\cos\varphi)=3.6~pm,$

$\theta=\arctan(1-\frac{\Delta \lambda}{\lambda})=87.4°,$

$E=hc(\frac 1{\lambda}-\frac 1{\lambda+\Delta\lambda})=9.3~\cdot 10^{-17}~J .$