Concept explainers
(a)
The wave with higher wave speed and its value.
(a)
Answer to Problem 87P
The wave with higher wave speed is
Explanation of Solution
The given wave equations are,
Write the general expression for the travelling waves.
Here,
Write the expression for the wave speed of the given waves (I) and (II).
Conclusion:
Substitute
Substitute
It is clear from above that
Therefore, the wave with higher wave speed is
(b)
The wave with higher wavelength and its value.
(b)
Answer to Problem 87P
The wave with higher wavelength is
Explanation of Solution
The given wave equations are,
Write the expression for the wavelength
Conclusion:
Substitute
Substitute
It is clear from above that
Therefore, the wave with higher wavelength is
(c)
The wave with the faster maximum speed of a point in the medium and its value.
(c)
Answer to Problem 87P
The wave with faster maximum speed of a point in the medium is
Explanation of Solution
The given wave equations are,
Write the expression for the maximum speed
Conclusion:
Substitute
Substitute
It is clear from above that
Therefore, the wave with faster maximum speed of a point in the medium is
(d)
The wave which is moving in
(d)
Answer to Problem 87P
The wave which is moving in
Explanation of Solution
The given wave equations are,
Write the general expression for the travelling waves.
In the general wave equation,
From the given wave equations,
Conclusion:
Therefore, the wave which is moving in
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