X-rays of wavelength 1.00 × 10−10m are incident on a target containing free electrons, ... a Compton scattered x-ray photon of wavelength 1.02×10−10m is detected at an angle of 90◦ to the ... Obtain as much information as possible about the momentum of the scattering electron before and after the scattering process.
According to quatum mechanics , the momentum of every body is always conserved just as it is written in relatively and classical physics , this are of the experiment that proves that the total energy and momentum is always conserved which the experiment is named x-ray scattering photons by electron.
So therefore the momentum after and before scattering is always conserved because it can't excide the laws of quatum mechanism.
The procedure is a perfect inelastic collision. Although kinetic energy is not conserved due to the distribution of kinectic force given to both the photon emitted and the recoilment of the electron after collision so therefore momentum is conserved from Compton's observation of is theoretical experiment of wave nature of matter.
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