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A person has a hearing range from 20 Hz to 20 kHz. What are the typical wavelengths of sound waves in air corresponding to these two frequencies? - CBSE Class 9 - Science

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Question

A person has a hearing range from 20 Hz to 20 kHz. What are the typical wavelengths of sound waves in air corresponding to these two frequencies? Take the speed of sound in air as 344 m s−1.

Solution

For a sound wave,

Speed = Wavelength × Frequency

`v=lambdaxxupsilon`

Given that the speed of sound in air = 344 m/s

(i) For, `upsilon` = 20 Hz

`lambda_1=v/upsilon_1=344/20=17.2m`

(ii) For, `upsilon_2=20000Hz`

`lambda_2=v/upsilon_2=344/20000=0.0172m`

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

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Solution A person has a hearing range from 20 Hz to 20 kHz. What are the typical wavelengths of sound waves in air corresponding to these two frequencies? Concept: Range of Hearing in Humans.
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