Question

The human ear can detect continuous sounds in the frequency range from 20Hz to 20kHz. Assuming that the speed of sound in air is 330m/s for all frequencies, calculate the wavelengths corresponding to the given extreme frequencies of the audible range.

Answer 1

From relation $v=f\lambda$
For frequency $f=20Hz$
$\therefore \lambda =\frac{v}{f}$
$=\frac{330}{20}$
$16.5m$
For frequency $f=20000Hz$
$\therefore \lambda =\frac{330}{20000}$
$=16.5\times {10}^{-3}m$
$=16.5mm$