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A well with vertical lsides and water at...

A well with vertical lsides and water at the bottom resonates at 7Hz and at no other lower freqency. The air in the well has density `1.10kgm^(-3)` and bulk modulus of water is `1.33xx10^(5)N//m^(2)`. How deep is the well ?

Text Solution

Verified by Experts

Here, `v=7Hz, rho=1.10kgm^(-3)`,
`K=1.33xx10^(5)Nm^(-2)`
A well behaves as closed organ pipe of length `=` depth of water in the well `=l`
`upsilon=sqrt((K)/(rho)) =sqrt((1.33xx10^(5))/(1.1))=347.7m//s`
From `v=(upsilon)/(4l), l=(upsilon)/(4v)=(34.7)/(4xx7)=12.41metre`
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