Concept explainers
(a)
The energy of the scattered photon,
(a)
Answer to Problem 31P
The energy of the scattered photon is
Explanation of Solution
Write the equation for the final energy,
Here,
Write the expression for wavelength in terms of initial wavelength and change in wavelength
Here,
Write the equation for the initial energy,
Here,
Write the equation for the difference in wavelength,
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Thus, the energy of the scattered photon is
(b)
The recoil kinetic energy of the electron.
(b)
Answer to Problem 31P
The recoil kinetic energy of the electron is
Explanation of Solution
Write the equation for the final energy,
Here,
Write the equation for the initial energy,
Here,
Write the expression of total energy
Here,
Conclusion:
Substitute
Therefore, the recoil kinetic energy of the electron is
(c)
The recoil angle of the electron.
(c)
Answer to Problem 31P
The recoil angle of the electron is
Explanation of Solution
Write the equation for the Conservation of momentum along
Here,
Write the equation for the Conservation of momentum along
Here,
Divide the expression (I) and (II)
Conclusion:
Substitute
Therefore, the recoil angle of the electron is
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Chapter 3 Solutions
Modern Physics
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