(a) Explanation Write the equation for the Compton shift in the photon’s wavelength. Δ λ = λ ′ − λ 0 (I) Here, Δ λ is the Compton shift in the photon’s wavelength, λ ′ is the wavelength of the scattered x-ray photon and λ 0 is the wavelength of the incident x-ray photon. Write the equation for the energy of incident photons. E 0 = h c λ 0 (II) Here, E 0 is the energy of the incident photons, h is the Planck’s constant and c is the speed of light in vacuum. Write the equation for the energy of the scattered photon E ′ = E 0 − K e (III) Here, E ′ is the energy of the scattered photon and K e is the kinetic energy of the electron. Write the equation for the energy of the scattered photon in terms of its wavelength. E ′ = h c λ ′ Rewrite the above equation for λ ′ . λ ′ = h c E ′ Put equation (III) in the above equation. λ ′ = h c E 0 − K e (IV) Write the equation for the kinetic energy of the electron. K e = 1 2 m e u 2 (V) Here, m e is the mass of the electron and u is the speed of the electron (b) To determine The angle through which the photon is scattered.

Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)

9th Edition

ISBN: 9781305266292

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Question

Chapter 40, Problem 30P

(a)

To determine

The Compton shift in the photon’s wavelength.

(b)

To determine

The angle through which the photon is scattered.

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Chapter 40, Problem 29P

Chapter 40, Problem 31P

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The Compton shift in the photon’s wavelength.

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The Compton shift in the photon’s wavelength.

The angle through which the photon is scattered.

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