A person has a hearing range from `20 Hz` to `20 kHz`. What are the typical wavelength of sound waves in sir corresponding to these two frequencies ? Take the speed of sound in air as `344 m//s`.

Explanation

For a sound wave,
Speed = Wavelength `xx`Frequency `v =lambdaxx v`
Speed of sound in air `= 344 m//s` (Given)
(i) For, `v= 20 Hz`
`lambda_(1) = v//v = 344//20 = 17.2 m`
(ii) For,` v= 20000 Hz`
`lambda_(2) = v//v = 344//20000 = 0.172 m`
Hence, for humans, the wavelength range for hearing is 0.0172 m to 17.2 m.