Concept explainers
(a)
The change in wavelength when a photon undergoes Compton scattering.
(a)
Answer to Problem 32E
Thechange in wavelength is
Explanation of Solution
Given that the wavelength of X-rays is
The expression for the change in wavelength during Compton scattering is as follows:
Here,
Conclusion:
Substitute
Therefore, the change in wavelength is
(b)
The change in frequency when a photon undergoes Compton scattering.
(b)
Answer to Problem 32E
The change in frequency is
Explanation of Solution
From part (a) the change in wavelength is
Write the expression for change in frequency.
Here,
Conclusion:
Substitute
Therefore, the change in frequency is
(c)
The energy acquired by the recoiling electron.
(c)
Answer to Problem 32E
The energy acquired by the recoiling electron is
Explanation of Solution
Write the mathematical expression for the kinetic energy of a recoiled electron from Compton scattering in terms of wavelength.
Here,
Conclusion:
The wavelength of the scattered photon is equal to the sum of the wavelength of a beam of X-rays and the change in wavelength.
From part (a) the change in wavelength is
The wavelength of the scattered photon is,
Substitute
Substitute
Therefore, the energy acquired by the recoiling electron is
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Chapter 26 Solutions
General Physics, 2nd Edition
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