# A sound wave travels at a speed of $339\ ms^{-1}$. If its wavelength is $1.5\ cm$, what is the frequency of the wave? Will it be audible?

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Given:
A sound wave travels at a speed of $339\ ms^{-1}$. If its wavelength is $1.5\ cm$.

To do:
To find the frequency of the wave if its wavelength is $1.5\ cm$ and also will have to check whether it is audible or not.

Solution:

Speed of sound $(v)=339\ ms^{-1}$

Wavelength of sound $(\lambda)=1.5\ cm$

$\lambda=0.015\ m$

Speed of sound$=Wavelength\times Frequency$

Frequency$=\frac{Speed\ of\ sound}{Wavelength}$

Frequency$=\frac{339}{0.015}$

Frequency$=22600\ Hz$

Therefore, the frequency of the sound wave is $22600\ Hz$. Based on the value of the frequency of this sound wave let us check whether it is audible or not:

Audibility of the sound wave:
It is known that the frequency range of audible sound for humans lies between $20\ Hz$ to $20,000\ Hz$. Here, the frequency of the given sound is more than 20,000 Hz, so it is not audible.
Updated on 10-Oct-2022 13:23:20