Compton Effect Solved Problem

Consider a photon, that is scattered from an electron at rest. If the photon scatters at an angle of 60^{\circ} with a wavelength {\lambda}', that is twice its incident wavelength {\lambda}, then the angle at which electron recoils will be \underline{\hspace{3cm}} degrees. (Answer should be an integer)}
Answer:
The correct Answer is 60^{\circ}
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