Concept explainers
(a)
The wavelengths of photons scattered at angles
(a)
Answer to Problem 26P
The wavelengths of photons scattered at angles
Explanation of Solution
Write the expression to calculate the change in wavelength.
Here,
Write the expression to calculate the wavelengths of scattered photons.
Here,
Substitute equation (I) in (II) to calculate the wavelength of scattered photons.
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
and
Therefore the wavelengths of photons scattered at angles
(b)
The energy of electrons at scattering angles
(b)
Answer to Problem 26P
The energy of electrons at scattering angles
Explanation of Solution
The energy of the electrons will be the energy lost from the photons.
Write the expression to find the energy of electrons.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, the energy of electrons at scattering angles
(c)
The scattering angle with which the electron gets the greatest energy.
(c)
Answer to Problem 26P
The scattering angle with which the electron gets the greatest energy is
Explanation of Solution
When the scattering angle is
After the head on collision the photon scattered straight back and the kinetic energy gained by the initially stationary electron will be the maximum. The kinetic energy gained by the electron at scattering angle
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Chapter 3 Solutions
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