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Question
The human ear can detect continuous sounds in the frequency range from 20 Hz to 20,000 Hz. Assuming that the speed of sound in air is 330 ms1 for all frequencies; calculate the wavelengths corresponding to the given extreme frequencies of the audible range
Solution
Audible range of hearing for a normal human ear is 20 Hz to 20,000 Hz.
Speed of sound in air, v = 330 ms-1
Speed, wavelength and frequency are related as
v = nλ
`:. lambda = v/n`
nlower = 20 Hz
nupper = 20,000 Hz
`:. lambda_"lower" = v/(n_"lower")`
`:.lambda_"lower" = 330/20 = 16.5 m`
Similary `lambda_"upper" = v/n_"upper"`
`:. lambda_"upper" = 330/20000` = 0.0165 m = 16.5 mm
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