Question

In Compton scattering, x-rays of 1 $A^o$ are scattered from a carbon block $(Z=6)$ and a Zinc block $(Z=30)$ at ${90}^0$ with the incident beam. The ratio of scattered wavelengths is:

• A. $1:5$
• B. $5:1$
• C. $1:1$
• D. $1:25$

Answer 1

The correct option is C $1:1$

By Compton effect scattered wavelength - incident wavelength $=\frac{h}{m_{e}C}(1-cos\theta )$

So, at ${90}^{\circ },cos{90}^{\circ }=0$

so, $\Delta \lambda =\frac{h}{m_{e}C}(1-0)$

$=\frac{h}{m_{e}C}$

So, $\Delta \lambda$ is independent by which block incident rays are hit and scattered and initial wavelength is fixed.

So, ratio of scattered wavelength will be $1:1$