Problem 9: A 50 keV X-rays is scattered through an angle of 900. What is the energy of the X-rays after Compton Effect?
Solution
Given
Energy of the incident X-rays photon, Ei = 50 keV
Scattering angle of photon after collision, θ = 900
Value of Planck’s constant, h = 6.63 × 10-34 J s
Asked: Energy of X-rays photon after collision, Ef
The Compton’s equation in terms of frequencies is
Dividing throughout by h and putting cosθ = cos900 = 0, we have from equation (A),
Here f’ is the frequency of photon (X-rays) after collision. Now the rest mass energy of electron is
Converting to eV, using the conversion equation,
We have
Put this and the value of hf = Ei = 50 keV in equation (1)
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