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Find the greatest length of an organ pip...

Find the greatest length of an organ pipe open at both ends that will have its fundamental frequency in the normal hearing range (20-20,000 Hz). Speed of sound in air `= 340 ms^-1`.

Text Solution

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Let the length will be I
Here given that
`V=340m/s`
`and n=20 Hz`
`Here lamda/2=I`
`rarr lamda=2I`
we know v=nlamda`
`rarr I=V/(2xxn)=340/(2xx20)`
=34/4=8.5cm`
(for maximum wavelength the fequency is minimum)
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