Question

A person can hear sound waves in the frequency range 20 Hz to 20 kHz. Find the minimum and maximum wavelengths of sound that is audible to the person. The speed of sound is 360 m/s.

Answer 1

Answer ⇒ 18 mm and 18 m respectively.

Explanation ⇒ Given, the speed of sound (V) = 360 m/s.

Now, The wavelength = V/ν,

where ν = frequency.

The wavelength corresponding to the frequency 20 kHz = 360/(20 × 1000) m

= 0.018 m

= 18 mm

Now, The wavelength corresponding to the frequency 20 Hz

= 360/20 m

= 18 m.

Hence the minimum audible wavelength = 18 mm

and maximum audible wavelength = 18 m.

Hope it helps.

Answer 2

Explanation ⇒ Given, the speed of sound (V) = 360 m/s.

Now, The wavelength = V/ν,

where ν = frequency.

The wavelength corresponding to the frequency 20 kHz = 360/(20 × 1000) m

= 0.018 m

= 18 mm

Now, The wavelength corresponding to the frequency 20 Hz

= 360/20 m

= 18 m.

Hence the minimum audible wavelength = 18 mm

and maximum audible wavelength = 18 m.