Show that the maximum kinetic energy of the recoil electron in Compton scattering is given by2hfmc²K. E.max (electron) = hf ·2hf1+ mc²At what angles and does this occur? If we detect a scattered electron at angle = 0° of 100 keV, whatenergy photon was scattered?

Show that the maximum kinetic energy of the recoil electron in Compton scattering is given by 2hf K. E.max (electron) = hf- mc² 2hf 1 + mc2 At what angles and does this occur? If we detect a scattered electron at angle = 0° of 100 keV, what energy photon was scattered?

Show that the maximum kinetic energy of the recoil electron in Compton scattering is given by 2hf K. E.max (electron) = hf- mc² 2hf 1 + mc2 At what angles and does this occur? If we detect a scattered electron at angle = 0° of 100 keV, what energy photon was scattered?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Quantum Physics

Section: Chapter Questions

Problem 21P

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Concept explainers

Compton effect

The incoming photons' energy must be in the range of an X-ray frequency to generate the Compton effect. The electron does not lose enough energy that reduces the wavelength of scattered photons towards the visible spectrum. As a result, with visible lights, the Compton effect is missing.

Recoil Velocity

The amount of backward thrust or force experienced by a person when he/she shoots a gun in the forward direction is called recoil velocity. This phenomenon always follows the law of conservation of linear momentum.

Question

Show that the maximum kinetic energy of the recoil electron in Compton scattering is given by
2hf
mc²
K. E.max (electron) = hf ·
2hf
1+ mc²
At what angles and does this occur? If we detect a scattered electron at angle = 0° of 100 keV, what
energy photon was scattered?

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