Concept explainers
(a)
The wavelength of the wave.
(a)
Answer to Problem 14PQ
The wavelength of the wave is
Explanation of Solution
Write the equation for the wavelength.
Here,
Write the expression for the wave vector.
Here,
Rewrite the expression for the wavelength from equation (I) by using (II).
Conclusion:
Substitute
Thus, the wavelength of the wave is
(b)
The expression for the wave function.
(b)
Answer to Problem 14PQ
The expression for the wave function is
Explanation of Solution
Write the equation of standard equation of the wave function.
Here,
Rewrite the expression for the wave function from equation (IV) by using (II).
Conclusion:
Substitute
Thus, the expression for the wave function is
(c)
The new wave function if the angular frequency doubled.
(c)
Answer to Problem 14PQ
The new wave function if the angular frequency doubled is
Explanation of Solution
Write the expression for the wave function from equation (IV) by using (II).
Conclusion:
Substitute
Thus, the new wave function if the angular frequency doubled is
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Chapter 17 Solutions
Student Solutions Manual For Katz's Physics For Scientists And Engineers: Foundations And Connections, Volume 1
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