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A source of sound placed at the open end...

A source of sound placed at the open end of a resonance column sends an acoustic wave of pressure amplitude `P_(0)` inside the tube. If the atmospheric pressure is `P_(A)`, then the ratio of maximum and minimum pressure at the closed end of the tube will be

A

`((rho_(A)+rho_(0)))/((rho_(A)+rho_(0)))`

B

`((rho_(A)+2rho_(0)))/((rho_(A)-2rho_(0)))`

C

`(rho_(A))/(rho_(0))`

D

`((rho_(A)+(1)/(2)rho_(0)))/((rho_(A)-(1)/(2)rho_(0)))`

Text Solution

Verified by Experts

The correct Answer is:
A
`rho_(max)=rho_(A)+rho_(0)andrho_(min)=rho_(A)-rho_(0)`
`(rho_(max))/(rho_(min))=(rho_(A)+rho_(0))/(rho_(A)-rho_(0))`.
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