Concept explainers
(a)
The wavelengths can absorbed by the
(a)
Answer to Problem 64P
The wavelengths can absorbed by the
Explanation of Solution
Write the expression for the absorbed energy associated from the transition between the energy levels.
Here,
Write the expression for the
Here,
Write the expression for wavelength.
Here,
Use equation (II) and (I) in (III) to solve for absorbed wavelength associated from the transition between the energy levels.
Conclusion:
Substitute
Substitute
Substitute
Substitute
Therefore, the wavelengths can absorbed by the
(b)
The recoil speed of the atom after absorption.
(b)
Answer to Problem 64P
The recoil speed of the atom after absorption are
Explanation of Solution
Write the expression for the energy of the photon.
Here,
Write the expression for
Write the expression for the momentum associated with the photon.
Use equation (V) and (VI) in (VII) to solve for
Write the expression for momentum associated with hydrogen atom.
Here,
Equate equation (IX) and (VII) to solve for recoil velocity.
Conclusion:
Substitute
Substitute
Therefore, the recoil speed of the atom after absorption are
(c)
The wavelength of each photon emitted and classify its region in
(c)
Answer to Problem 64P
The wavelength of photon emitted from
Explanation of Solution
Use equation (IV) to solve for the wavelength associated with the absorbed wavelength associated from the transition between the energy levels.
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, the wavelength of photon emitted from
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Chapter 27 Solutions
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