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Question 7

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.

Answer

Hearing range for humans = 20 Hz to 20 kHz

Speed of sound = 344 m/s

For a sound wave,

Speed = Wavelength × Frequency

 
i. For = 20 Hz
 

ii. For  = 20,000 Hz
 
 
Hence, for humans, the wavelength range for hearing is 0.0172 m to 17.2 m.

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