Question

In Compton scattering process, the incident X-radiation is scattered at an angle ${60}^o$. The wavelength of the scattered radiation is $0.22A^o$. The wavelength of the incident X-radiation in $A^o$

• A. 0.508
• B. 0.408
• C. 0.232
• D. 0.208

Answer 1

The correct option is D 0.208

By compton formula
$\Delta \lambda ={\lambda }_f-{\lambda }_i=\frac{h}{m_{e}C}(1-cos\theta )$
$0.22A^{\circ }-\lambda {}_i=0.024A^{\circ }(1-\frac{1}{2})(\because cos{60}^{\circ }=1/2)$
${\lambda }_i=0.22-0.012$
$=0.208A^{\circ }$

So, the answer is option (D).