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A sound wave travels at a speed of 339 m s^-1. If its wavelength is 1.5 cm, what is the frequency of the wave? Will it be audible?

Q.14.    A sound wave travels at a speed of 339\: m\: s^{-1}. If its wavelength is 1.5 cm, what is the frequency of the wave? Will it be audible?

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Given,

The speed with which sound travels is 339\: m\: s^{-1}.

and the wavelength is 1.5 cm.

Then we know the relation,

v= \lambda \times \nu

Where, v is velocity, \lambda is the wavelength, and \nu is the frequency of the wave.

Hence, 

\nu = \frac{v}{\lambda} = \frac{339\ m/s}{0.015m} = 22600Hz.

Calculated frequency is out of audible range of human ears which is 20Hz\ to \ 20,000Hz.

Therefore, it is inaudible.

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