Question

A person has a hearing range from $20Hz$ to $20KHz$. What are the typical wavelengths of sound waves in air corresponding ton these two frequencies? Take the speed of sound in air as $344m{s}^{-2}$.

Answer 1

Given : Velocity of sound in air $v=344$ $m{s}^{-1}$

Wavelength of the sound waves $\lambda =\frac{v}{\nu }$

For ${\nu }_1=20$ Hz, ${\lambda }_1=\frac{344}{20}=17.2$ m

For ${\nu }_2=20$ kHz, ${\lambda }_2=\frac{344}{20\times 1000}=1.72\times {10}^{-2}$ m