Concept explainers
(a)
The vibrational frequency of
(a)
Answer to Problem 63CP
The vibrational frequency of
Explanation of Solution
Write the expression for the reduced mass of
Here,
Write the expression for the reduced mass of
Here,
Write the expression for the vibrational frequency of
Here,
Both
Write the expression for the vibrational frequency of
Here,
Multiply and divide inside the square root of above equation by
Use equation (II) in above equation to get an expression for
Conclusion:
In example
Substitute
Substitute
Substitute
Therefore, the vibrational frequency of
(b)
The moment of inertia of
(b)
Answer to Problem 63CP
The moment of inertia of
Explanation of Solution
Write the expression for the moment of inertia of
Here,
Write the expression for the moment of inertia of
Here,
Multiply and divide the right hand side of above equation by
Use equation (VI) in equation (VIII) to get
Conclusion:
The moment of inertia of
Substitute
Therefore, the moment of inertia of
(c)
The
(c)
Answer to Problem 63CP
The wavelengths of light that can be absorbed by
Explanation of Solution
The molecule lies in
Write the expression for the total energy of the
Here,
Write energy of the molecule in
Here,
Write energy of the molecule in
Here,
Write energy of the molecule in
Here,
Write the expression for the change in energy during transition from
Here,
Write the expression for the change in energy during transition from
Here,
Write the expression for the energy of wavelength absorbed during a transition.
Use equation (X) and (XI) in equation (XIII) to get
Conclusion:
Use equation (X) and (XI) in equation (XIII) to get
Substitute
Substitute
Use equation (X) and (XII) in equation (XIV) to get
Substitute
Substitute
Therefore, the wavelengths of light that can be absorbed by
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Chapter 43 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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