#### Question

The audible range of frequencies of an average human ear is from 20 Hz to 20 kHz. Calculate the corresponding wavelengths. (Speed of sound in air is 344 ms^{–1})

#### Solution

We have to calculate the wavelength range of audible sound.

Given: Speed of sound ν = 344 m/s

Lower frequency of audible range f_{L} = 20 Hz

Higher frequency of audible range f_{H} = 20,000 Hz

We know relation of velocity, frequency, and wavelength `lambda = v/f`,

where ν is the velocity, f the frequency, and λ the wavelength.

So, wavelength corresponding to the lower frequency is

`lambda_L = 344/20`

= 17.2 m

So, wavelength corresponding to the higher frequency is

`lambda_H = 344/20000`

= 0.0172 m

Hence , the range of wavelength in audible region is 17.2 m - 0.0172 m

Is there an error in this question or solution?

Solution The Audible Range of Frequencies of an Average Human Ear is from 20 Hz to 20 Khz. Calculate the Corresponding Wavelengths. (Speed of Sound in Air is 344 Ms–1) Concept: Range of Hearing in Humans.