Question

a person has a hearing range from 20 Hz to 20 kHz. what are the typical wavelength of sound waves and I have corresponding to this to frequency take the speed of sound in air at 344 metre per second

Answer 1

For a sound wave,

Speed = Wavelength x Frequency

v = λ x f

Speed of sound in air = 344 m/s (Given)

(i) For, f = 20 Hz

λ1= v/f = 344/20 = 17.2 m

(ii) For, f= 20000 Hz

λ2= v/f = 344/20000 = 0.0172 m

Hence, for humans, the wavelength range for hearing is 0.0172 m to 17.2 m.