Given that sound travels in air at 340 ms $^{- 1}$ , find the wavelength of the waves in air produced by the 20 kHz sound source.If the same source is put in a water tank, what would be the wavelength of the sound waves produced in water? Speed of sound in water = 1480 ms $^{- 1}$ .

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Solution

Given:
Speed of sound in air = 340 ms $^{- 1}$
Frequency of source = 20 kHz = 20,000 Hz
Speed of sound in water = 1480 ms $^{- 1}$

In Air,
We know that,
Speed of sound = Wavelength x Frequency
=> 340 = Wavelength x 20,000
=> $W a v e l e n g t h = \frac{340}{20, 000}$
=> Wavelength = 0.017 m

In Water,
We know that,
Speed of sound = Wavelength x Frequency
=> 1480 = Wavelength x 20,000
=> $W a v e l e n g t h = \frac{1480}{20, 000}$
=> Wavelength = 0.074 m

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Given that sound travels in air at 340 ms−1, find the wavelength of the waves in air produced by the 20 kHz sound source.If the same source is put in a water tank, what would be the wavelength of the sound waves produced in water? Speed of sound in water = 1480 ms−1.

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