Given
The range of frequencies audible to human is n=20 Hz to n'=20,000 Hz
Speed of sound is v=340 m/s.
To find
Sound with which of the following wavelengths would be audible by the average person?
Explanation
We know,
velocity is given by
[tex]v=n\lambda[/tex]Thus,
[tex]\begin{gathered} \lambda=\frac{v}{n} \\ \Rightarrow\lambda=\frac{340}{20}=17\text{ m} \end{gathered}[/tex]Again,
[tex]\begin{gathered} \lambda^{\prime}=\frac{v}{n^{\prime}} \\ \Rightarrow\lambda^{\prime}=\frac{340}{20000}=0.017\text{ m} \end{gathered}[/tex]Thus the sound between wavelength 0.017 m to 17 m would be audible.
Conclusion
The sound audible to the human is 5 m
