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A well with vertical sides and water at ...

A well with vertical sides and water at the bottom resonates at 7Hz and at no other lower frequency. 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

The well can be assumed as an organ pipe open at one end . Its fundamental frequency is given by -
`n=v/(4l)` and `v=sqrt(B//p)`
`rArr n=sqrt((B//p)/(4l))`
`rArr l=sqrt(B//rho)/(4n)=sqrt((1.33xx10^5)/1.1)/(4xx7)`=12.4 meter.
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