Concept explainers
(a)
The wavelength of the initial note.
(a)
Answer to Problem 29P
The wavelength of the initial note is
Explanation of Solution
Write the expression for wavelength.
Here,
Conclusion:
Substitute,
Therefore, the wavelength of the initial note is
(b)
The wavelength of the final note.
(b)
Answer to Problem 29P
The wavelength of the final note is
Explanation of Solution
Use equation (I) to obtain the wavelength of the final high note.
Conclusion:
Substitute,
Therefore, the wavelength of the final note is
(c)
The pressure amplitude of the initial note.
(c)
Answer to Problem 29P
The pressure amplitude of the initial note is
Explanation of Solution
Write the expression for the intensity of the wave.
Here,
Rewrite the equation (II) to obtain an expression for
Write the expression for sound level.
Here,
Conclusion:
Substitute,
Substitute,
Therefore, the pressure amplitude of the initial note is
(d)
The pressure amplitude of the final note.
(d)
Answer to Problem 29P
The pressure amplitude of the final note is
Explanation of Solution
The pressure amplitude is depends on the intensity, density, and speed, since all these quantities are same in case of initial and final note, the pressure amplitude of initial and final note are same.
Conclusion:
Substitute,
Substitute,
Therefore, the pressure amplitude of the final note is
(e)
The displacement amplitude of the initial note.
(e)
Answer to Problem 29P
The displacement amplitude of the initial note is
Explanation of Solution
Write the expression for the intensity in terms of displacement amplitude.
Here,
Substitute,
Conclusion:
Substitute,
Therefore, displacement amplitude of the initial note is
(f)
The displacement amplitude of the final note.
(f)
Answer to Problem 29P
The displacement amplitude of the final note is
Explanation of Solution
Use equation (VI) to obtain the value of the displacement amplitude of the final note.
Conclusion:
Substitute,
Therefore, displacement amplitude of the final note is
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Chapter 17 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
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