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The human ear can detect continuous soun...

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 ms^(-1)` for all frequencies, calculate the wavelengths corresponding to the given extreme frequencies of the audible range.

Text Solution

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Given : V = 330 m `s^(-1) f_(" min") = 20 Hz and F_("max ")= 20,000 Hz`
From relation ` lamda =(V )/( f ) , lamda_(max) = (V )/( f_("min") ) and lamda_("min") = (V) /(f_("max"))`
` therefore lamda_("max") = ( 330)/(20) = 16.5 m , and `
` lamda_("min") = ( 330 )/( 20,000 ) = 16.5 xx 10^(-3) m= 16.5 mm`
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