Question

A person has a hearing range from 20 Hz to
20 kHz. The speed of sound in air is
344 ms–1. The typical wavelengths of sound
wave in air corresponding to these two
frequencies are respectively

Answer 1

Answer:

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 = 0.172 m

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

Hope this is helpful for you.

Answer 2

Answer:

Answer:

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 = 0.172 m

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

Hope this is helpful for you.