Question

a 200MeV photon strikes a stationery photon and is back scattered. find the kinetic energy of the after the scattering
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Answer 1

Energy = 61.94 MeV.

• Compton scattering, where the wavelength of the scattered light differs from that of the incident radiation, is an example of elastic scattering of light by a free charged particle. The electrons in Compton's initial experiment could be viewed as being free after scattering since the energy of the X-ray photon (around 17 keV) was much higher than the binding energy of the atomic electron. The Compton shift is the change in wavelength of the light that occurs.
• The outcome is important because it shows that light cannot be completely explained as a wave phenomena. Traditionally, light of sufficient intensity for the electric field to accelerate a charged particle to a relativistic speed will cause radiation-pressure recoil and an associated Doppler shift of the scattered light, but the effect would become arbitrarily small at sufficiently low light intensities regardless of whether the electric field was present.

Now, according to the given information, a 200MeV photon strikes a stationery photon and is back scattered.

Then, wavelength = 200.19 pm

Again, we know that,

E = $\frac{hc}{wavelength}$ = $\frac{12400}{200.19} =61.94 MeV$.

Hence, Energy = 61.94 MeV.

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