Concept explainers
(a)
The wave function for the wave if
(a)
Answer to Problem 68PQ
The wave function for the wave is
Explanation of Solution
It is given that the sinusoidal wave is travelling in the negative direction.
Write the general equation for the sinusoidal wave travelling in negative
Here,
Write the expression for
Here,
Write the expression for
Here,
Conclusion:
It is given that the amplitude of the wave is
Substitute
Substitute
It is given that the value of the wave function at
Substitute
Substitute
Therefore, the wave function for the wave is
(b)
The wave function for the wave if
(b)
Answer to Problem 68PQ
The wave function for the wave if
Explanation of Solution
All quantities of the wave are same as in part (a) except for the phase. Equation (I) can be used to find the wave function.
Conclusion:
Substitute
Substitute
Therefore, the wave function for the wave if
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Chapter 17 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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