Explanation 1) Concept: Here we have to initial kinetic energy to find wavelength. From Compton shift, we have to find new wavelength. From new wavelength, we can find energy and kinetic energy. 2) Formula: i) E = h c λ ii) ∆ λ = h c m e ( 1 - c o s ϕ ) 3) Given: Initial energy is 50.0 k e V . 4) Calculations: a) Energy of x ray photon is 50 K e V , ∴ E = 50 × 10 3 e V We can convert this in joules using the conversion factor as below: E = 50 × 10 3 × 1.6 × 10 - 19 J E = 80 × 10 - 16 J Now, we can write the energy as E = h c λ Rearranging this for wavelength, we get λ = h c E Substituting the values, we get λ = 6.63 × 10 - 34 × 3 × 10 8 80 × 10 - 16 ∴ λ = 2.48625 × 10 - 11 m Now, we can calculate Compton shift as follows: ∆ λ = h c m e ( 1 - c o s ϕ ) For maximum shift, we should have ϕ = 180 ° . ∆ λ = h m e c ( 1 - cos ⁡ 180 ) ∆ λ = 6.63 × 10 - 34 × 2 9

Fundamentals Of Physics 11th Edition Loose-leaf Print Companion Volume 2 With Wileyplus Card Set

11th Edition

ISBN: 9781119463252

Author: David Halliday

Publisher: John Wiley and Sons

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Chapter 38, Problem 37P

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To find:

a) Energy of backscattered photon

b) Kinetic energy of electron

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Chapter 38, Problem 36P

Chapter 38, Problem 38P

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Consider a collision between an x-ray photon of initial energy 50.0 keV and an electron at rest, in which the photon is scattered backward and the electron is knocked forward. (a) What is the energy of the backscattered photon? (b) What is the kinetic energy of the electron?

An incident x-ray photon is scattered from a free electron that is initially at rest. The photon is scattered straight back at an angle of 180 from its initial direction. The wavelength of the scattered photon is 0.0830 nm. (a) What is the wavelength of the incident photon? (b) What are the magnitude of the momentum and the speed of the electron after the collision? (c) What is the kinetic energy of the electron after the collision?

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Chapter 38 Solutions

Fundamentals Of Physics 11th Edition Loose-leaf Print Companion Volume 2 With Wileyplus Card Set

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a) Energy of backscattered photon b) Kinetic energy of electron

Solution Summary: The author explains how to calculate the energy of backscattered photon and kinetic energy.

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To find: a) Energy of backscattered photon b) Kinetic energy of electron

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Chapter 38 Solutions

To find:

a) Energy of backscattered photon

b) Kinetic energy of electron