A sound waves having certain frequency travels with a speed of 336 m/s and wavelength 3 cm. Calculate the frequency. Will it be audible?

1120 H z, Y e s

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11200 H z, Y e s

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11200 H z, N o

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1120 H z, N o

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Solution

The correct option is B $11200 H z, Y e s$
The relationship between frequency, speed of sound and wavelength of a sound wave is given as
$F r e q u e n c y = \frac{S p e e d o f s o u n d}{W a v e l e n g t h}$ .

Therefore, $F r e q u e n c y, ν = \frac{336 m / s}{0.03 m}$ , given that the speed of sound is 336 m/s and wavelength is 3 cm, that is 0.03 m.

$F r e q u e n c y ν = 11200 H z$ .

Hence, the frequency of the sound wave is 11,200 Hz which audible because the human auditory system is sensitive to frequencies from about 20 Hz to a maximum of around 20,000 Hz.

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