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09/01/2021 11:08 am
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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? Take the speed of sound in air as 344 m s-1.
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09/01/2021 11:13 am
Here, v1 = 20 Hz and v2 = 20 kHz
= 20 x 103 Hz, speed of sound, v = 344 ms-1
Clearly, \( \lambda_1 = \frac{v}{v_1}\) = \(\frac{344}{20}\) = 17.2 m
and, \( \lambda_2 = \frac{v}{v_2}\) = \(\frac{344}{20 \times 10^3}\) = 0.0172 m