42. Derive the Compton shift equation, Equation 39.13, by applying conservation principles for energy and momentum the collision shown in Figure 39.13. Assume that the elec- tron is free and initially at rest. X-rays are scattered at various angles by electrons in a target. In such a scattering event, a shift in waveleng th is observed for the scattered x-rays, a phenomenon known as the Compton effect. Classical physics does not predict the correct behavior in this effect. If the x-ray is treated as a photon, conservation of energy and linear momen- tum applied to the photon-electron collisions yields, for the Compton shift, h (1- cos 0) тс (39.13) where m, is the mass of the electron, c is the speed of light, and 0 is the scattering angle.

42. Derive the Compton shift equation, Equation 39.13, by applying conservation principles for energy and momentum the collision shown in Figure 39.13. Assume that the elec- tron is free and initially at rest. X-rays are scattered at various angles by electrons in a target. In such a scattering event, a shift in waveleng th is observed for the scattered x-rays, a phenomenon known as the Compton effect. Classical physics does not predict the correct behavior in this effect. If the x-ray is treated as a photon, conservation of energy and linear momen- tum applied to the photon-electron collisions yields, for the Compton shift, h (1- cos 0) тс (39.13) where m, is the mass of the electron, c is the speed of light, and 0 is the scattering angle.

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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Question

100%

42. Derive the Compton shift equation, Equation 39.13, by
applying conservation principles for energy and momentum
the collision shown in Figure 39.13. Assume that the elec-
tron is free and initially at rest.

X-rays are scattered at various angles by electrons in a target. In such a scattering
event, a shift in waveleng th is observed for the scattered x-rays, a phenomenon known
as the Compton effect. Classical physics does not predict the correct behavior in this
effect. If the x-ray is treated as a photon, conservation of energy and linear momen-
tum applied to the photon-electron collisions yields, for the Compton shift,
h
(1- cos 0)
тс
(39.13)
where m, is the mass of the electron, c is the speed of light, and 0 is the scattering
angle.

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