Question

X-rays of wavelength of $22pm$ are scattered from a carbon target at an angle of ${85}^0$ to the incident beam. The compton shift for X-rays is $(cos{85}^0=0.088)$

• A. $2.2pm$
• B. $1.1pm$
• C. $0.55pm$
• D. $4.4pm$

Answer 1

The correct option is A $2.2pm$

Compton shift is given as $\Delta \lambda =\frac{h}{mc}(1-cos\varphi )=\frac{6.62\times {10}^{-34}Js}{9.1\times {10}^{-31}Kg\times 3\times {10}^{8}m/s}(1-cos{85}^0)$

where $m$ is the mass of electron and $h$ is Planck's constant with $c$ as speed of light in air.

On calculation we get the shift as $\Delta \lambda =2.2\times {10}^{-12}meter=2.2picometer$

Option A is correct.