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The range of audible frequencies is from about 20.0 hz to 2.00×104 hz . what is range of the wavelengths of audible sound in air? the speed of sound in air is 344 m/s.

User Davidcl
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The wavelength is related to the frequency by the relationship:

\lambda= (v)/(f)
where v is the wave speed and f is its frequency.

The speed of sound in air is v=344 m/s. The lowest frequency is f=20.0 Hz, so the corresponding wavelength is

\lambda_1 = (v)/(f_1)= (344 m/s)/(20.0 Hz)=17.2 m
The highest frequency is
f_2 = 2.00 \cdot 10^4 Hz, so the corresponding wavelength is

\lambda_2 = (v)/(f_2)= (344 m/s)/(2.00 \cdot 10^4 Hz)=0.017 m

Therefore, the range of wavelengths of audible sound in air is
[0.017 m - 17.2 m]
User Dajames
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