In a Compton scattering experiment, an x-ray photon scatters through an angle of 13.4° from a free electron that is initially at rest. The electron recoils with a speed of 1,560 km/s.
(a) Calculate the wavelength of the incident photon. In nm
(b) Calculate the angle through which the electron scatters.
Let final and initial wavelengths be . h= Planck's constant and c is speed of light. m=mass of electron, v=velocity of electron
So from Compton scattering formula,
Also from energy conservation
............(3)from (1) and (2)
Using (1) and (3) we get
From momentum conservation along y direction
=angle through which the electron scatters
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