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A person has a hearing range from 20Hz to 20Khz. What are the typical wave lengths of sound wave in air corresponding to these two frequen cies ? Take the speed of sound in air of 344ms^(-1)

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Solution :For a SOUND wave,
Speed = wave LENGTH `xx` frequency `= lambdaxx UPSILON`
Speed of sound in air `=344m//s`
(i) For `upsilon=20Hz`
`lambda_(1)=upsilon//v=344//20=17.2m`
(ii) For `upsilon=20000` Hz
`lambda_(2)=upsilon//upsilon=344//20000=0.172`m
Hence, for humans, the wavelengthrange for hearing is 0.0172 m to 17.2 m


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