Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Question
Chapter 38, Problem 41P
To determine
To find:
a) Value for Compton shift
b) Value for fractional Compton shift
c) Value for change in photon energy
d) Value for Compton shift
e) Value for fractional Compton shift
f) Value for change in photon energy
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A photon with wavelength X scatters off an electron at rest, at an angle with the incident direction.
The Compton wavelength of the electron Ac = 0.0024 nm.
a)
For λ = 0.0006 nm and 0 = 53 degrees, find the wavelength X' of the scattered photon in
nanometres.
b)
Obtain a formula for the energy of the electron Ee after collision, in terms of the universal constants
h, c and the variables X, X' and Ac. The answer must be expressed in terms of these variables
only. (Please enter an algebraic expression using latex format; do not input any numerical values)
c)
Using the energy conservation condition, find the value of the electron energy Ee after scattering in
units of keV.
d)
Write an algebraic expression for the electron's momentum pe in
terms of its energy Ee, its mass me and the speed of light c.
e)
What is the de Broglie wavelength of the scattered electron ? Express your answer in terms of Ee,
me, and X and c.
f)
Find the value of the de Broglie wavelength of the scattered electron…
What are (a) the Compton shift Δλ, (b) the fractional Compton shift Δλ/λ, and (c) the change ΔEphoton in photon energy for light of wavelength λ = 590 nm scattering from a free, initially stationary electron if the scattering is at 90° to the direction of the incident beam? What are (d) Δλ, (e) Δλ/λ, and (f) ΔEphoton for 90° scattering for photon energy 50.0 keV (x-ray range)?
X rays of wavelength 0.0123 nm are directed in the positive direction of an x axis onto a target containing loosely bound electrons. For Compton scattering from one of
those electrons, at an angle of 156°, what are (a) the Compton shift, (b) the corresponding change in photon energy, (c) the kinetic energy of the recoiling electron,
and (d) the angle between the positive direction of the x axis and the electron's direction of motion? The electron Compton wavelength is 2.43 x 10-12 m.
Chapter 38 Solutions
Fundamentals of Physics Extended
Ch. 38 - Prob. 1QCh. 38 - Prob. 2QCh. 38 - Prob. 3QCh. 38 - Prob. 4QCh. 38 - Prob. 5QCh. 38 - Prob. 6QCh. 38 - Prob. 7QCh. 38 - Prob. 8QCh. 38 - Prob. 9QCh. 38 - Prob. 10Q
Ch. 38 - Prob. 11QCh. 38 - Prob. 12QCh. 38 - Prob. 13QCh. 38 - Prob. 14QCh. 38 - Prob. 15QCh. 38 - Prob. 16QCh. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - Prob. 12PCh. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - Prob. 19PCh. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Prob. 27PCh. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - Prob. 30PCh. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Prob. 33PCh. 38 - Prob. 34PCh. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46PCh. 38 - Prob. 47PCh. 38 - Prob. 48PCh. 38 - Prob. 49PCh. 38 - Prob. 50PCh. 38 - Prob. 51PCh. 38 - Prob. 52PCh. 38 - Prob. 53PCh. 38 - Prob. 54PCh. 38 - Prob. 55PCh. 38 - Prob. 56PCh. 38 - Prob. 57PCh. 38 - Prob. 58PCh. 38 - Prob. 59PCh. 38 - Prob. 60PCh. 38 - Prob. 61PCh. 38 - Prob. 62PCh. 38 - Prob. 63PCh. 38 - Prob. 64PCh. 38 - Prob. 65PCh. 38 - Prob. 66PCh. 38 - Prob. 67PCh. 38 - Prob. 68PCh. 38 - Prob. 69PCh. 38 - Prob. 70PCh. 38 - Prob. 71PCh. 38 - Prob. 72PCh. 38 - Prob. 73PCh. 38 - Prob. 74PCh. 38 - Prob. 75PCh. 38 - Prob. 76PCh. 38 - Prob. 77PCh. 38 - Prob. 78PCh. 38 - Prob. 79PCh. 38 - Prob. 80PCh. 38 - Prob. 81PCh. 38 - Prob. 82PCh. 38 - Prob. 83PCh. 38 - Prob. 84PCh. 38 - Prob. 85PCh. 38 - Prob. 86PCh. 38 - Prob. 87PCh. 38 - Prob. 88PCh. 38 - Prob. 89PCh. 38 - Prob. 90P
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