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प्रश्न
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 m s−1 for all frequencies, calculate the wavelengths corresponding to the given extreme frequencies of the audible range.
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उत्तर
The audible range of hearing for a normal human ear is 20 Hz to 20,000 Hz.
Speed of sound in air, v = 330 m s−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")`
= `330/20`
= 16.5 m
Similarly, `lambda_"upper" = v/n_"upper"`
= `330/20000`
= 0.0165 m
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