A sound wave is travelling in air at a speed of 343 m/s. The wavelength of the sound wave is 0.1 cm. Find the frequency of the sound wave. Is the sound audible to humans?

Longitudinal wave

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Transverse wave

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Yes, 20000 Hz

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No, 20000 Hz

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Solution

The correct option is B
Transverse wave

Speed of the sound = 343 m/s
We know that, speed = frequency $\times$ wavelength
Wavelength = 0.001 m
Thus, frequency = $\frac{s p e e d}{w a v e l e n g t h}$ = 343000 Hz
As the frequency of the sound is beyond 20,000 Hz, it is beyond the audible range of humans.
Hence, the sound is inaudible to humans.

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