In the compton scattering process, the incident X-radiation is scattered at an angle `60^(@)`.The wavelenght of scattered radiation is 0.22 Á.The wavelength of the incident X-radiation inÁ units

Options

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

Answer

D

Explanation

In a compton scattering process ,
Scattering angle ,`0=60^(@)`
Wavelength ,`lamda=0.22Å`
The expression for Comption effect is given as ,
`lamda-lamda^(')=(h)/(meC)(1-cos0)`
Where
`h=6.62xx10^(-34),m_(e)=9.1xx10^(-31),c=3xx10^(8)`
`implies 0.22-lamda^(')-(6.62xx10^(-34))/((9.1xx10^(-31))(3xx10^(8)))(1-cos60`
`implies 0.22-lamda^(')=0.024(1-(1)/(2))`
`implies 0.22-lambda^(')=0.024x(1)/(2)`
`implies lamda^(')=0.22-0.012`
`lamda^(')=0.208Å`