(a) In a Compton scattering event, an incident photon with a wavelength λ0 is scattered by a free electron initially at rest such that the scattered photon propagates in a direction perpendicular to that of the scattered electron, as shown in Figure 5 on page 6. The scattering angle of the scattered photon is θ.
(i) Using the concept of momentum conservation, show that the wavelength of the scattered photon is fixed at a constant value of λ' = 2.43 pm, irrespective of θ.
(ii) If θ = 30°, determine the momentum pe and the kinetic energy of the scattered electron.