(5) (a) Show from the Compton formula that the energy an electron gains in Compton scattering can be written as 1 Ke=E1 1+ - Eo (1 – cos 0) where Ke is the electron kinetic energy, Ey is the incoming photon energy and Eo is the electron rest energy. (b) Try the formula out (even if you can't derive it) on this question: a 50 keV photon scattering such that the electron kinetic energy is a maximum. What is the max Ee in the case? What happens when the photon energy is really large?
(5) (a) Show from the Compton formula that the energy an electron gains in Compton scattering can be written as 1 Ke=E1 1+ - Eo (1 – cos 0) where Ke is the electron kinetic energy, Ey is the incoming photon energy and Eo is the electron rest energy. (b) Try the formula out (even if you can't derive it) on this question: a 50 keV photon scattering such that the electron kinetic energy is a maximum. What is the max Ee in the case? What happens when the photon energy is really large?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:(5) (a) Show from the Compton formula that the energy an electron gains in Compton scattering
can be written as
1
Ke=E1
1+
-
Eo
(1 – cos 0)
where Ke is the electron kinetic energy, Ey is the incoming photon energy and Eo is the
electron rest energy.
(b) Try the formula out (even if you can't derive it) on this question: a 50 keV photon
scattering such that the electron kinetic energy is a maximum. What is the max Ee in the
case? What happens when the photon energy is really large?
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