Question

If the scattering angle of the photon in Compton effect is ${180}^0$, the Compton shift is

• A. Equal to the Compton wavelength of the electron
• B. four times the Compton wavelength of the electron
• C. two times the Compton wavelength of the electron
• D. half the compton wavelength of the electron

Answer 1

The correct option is C two times the Compton wavelength of the electron

$\lambda -{\lambda }^1=\frac{h}{m_{e}c}(1-cos\theta )$
where
$\lambda$ is initial wavelength
${\lambda }^1$ is the wavelength after & scattering
$h$ is the plank constant
$m_e$ is the electron rest mass.
$c$ is the speed of light
$\theta$ is the scattering angle.