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A man has an audible range from 20hz to20khz.what are the wavelengths of sound in air corresponding to these two frequencies .speed of sound inair is 344



The relationship between wavelength, frequency and velocity of propagation is given by:

Velocity of Propagation = Wavelength X Frequency

Therefore, Wavelength = Velocity of Propagation/Frequency

So, if the speed (Velocity of Propagation) of  sound in air is 344 m/s (actually it is strongly dependent on the temperature of air and this speed corresponds to the air-temperature of 20 degree Celsius), then
the wavelength = 344/20 m = 17.2 m, when the frequency = 20 Hz
and the same (wavelength) = 344/(20 X 10 X 10 X 10) = 0.0172 m or 17.2 mm, when the frequency = 20 kHz.
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