Concept explainers
Suppose your friend is foolish enough to play his keyboard instrument underwater, where the speed of sound is 1,500 m/s.
a. Show that the wavelength of the middle-C tone in water would be 5.86 m.
b. Explain why middle C (or any other tone) has a longer wavelength in water than in air.
(a)
To show that the wavelength of middle-C tone in water is 5.86 m where the speed of sound in water is 1,500
Answer to Problem 50A
The wavelength of middle-C tone in water is 5.86 m where the speed of sound in water is 1,500
Explanation of Solution
Given:
Frequency (
Speed of sound in water (
Formula used:
Calculation:
Put the given values and we get;
Conclusion:
Thus, the wavelength of middle-C tone in water is 5.86 m where the speed of sound in water is 1,500
(b)
The reason that middle C tone has longer wavelength in water than in air.
Answer to Problem 50A
The speed of a sound wave in water (1,500
Explanation of Solution
Introduction:
For any wave, the relation between speed, frequency and wavelength is given as follows;
Since the frequency of middle-C tone (256 Hz) remain same in both air and water so wavelength becomes directly proportional to speed of the wave. And it is known that the speed of a sound wave in water (1,500
Conclusion:
Thus, the wavelength of sound wave in air is 1.33 m for the frequency 256 Hz.
Chapter 26 Solutions
Conceptual Physics: The High School Physics Program
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