
Concept explainers
The velocity of the scattered electron.

Answer to Problem 27P
The velocity of the scattered electron is
Explanation of Solution
Given that the wavelength of the photon is
Write the expression for the south component of electron’s momentum.
Here,
Write the expression for the north component of the scattered photon’s momentum.
Here,
Since the south component of electron’s momentum is equal to the north component of the scattered photon’s momentum, the right hand sides of equations (I) and (II) can be equated.
Solve equation (III) for
Write the expression for the east component of electron’s momentum.
Here,
Write the expression for the east component of electron’s momentum in terms of the momentum of the photon.
Here,
Modify equation (VI) by replacing the momentum of photons in terms of their wavelength and using equation (V).
Solve equation (VII) for
Write the expression for the expression for the magnitude of velocity of the scattered electron.
Write the expression for the angle that the scattered electrons velocity make with the east direction.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
This indicates that the electron travels in a direction
Therefore, the velocity of the scattered electron is
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Chapter 27 Solutions
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