The human ear can detect continuous sounds in the frequency range from 20 Hz to 20,000 Hz. Assuming that the speed of sound in air is 330 ms^-1 for all frequencies, calculate the wavelengths corresponding to the given extreme frequencies of the audible range.

Given,

V = 330 m s^-1

f_min = 20 Hz,

f_max = 20,000 Hz

From relation, V = fλ

λ_min = $\dfrac{V}{f_{max}}$ = $\dfrac{330}{20,000}$ = 1.65 x 10^-2 m or 16.5 mm

and

λ_max = $\dfrac{V}{f_{min}}$ = $\dfrac{330}{20}$ = 16.5 m

Thus, audible range of wavelength is from 16.5 mm to 16.5 m.