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The pressure on an object of bulk modulu...

The pressure on an object of bulk modulus B undergoing hydraulic compression due to a stress exerted by surrounding fluid having volume strain `((DeltaV)/(V))`

A

`B^(2)((DeltaV)/(V))`

B

`B((DeltaV)/(V))^(2)`

C

`(1)/(B)((DeltaV)/(V))`

D

`B((DeltaV)/(V))`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) `B=("Normal stress")/("Volume strain")=|(p)/(-((DeltaV)/(V)))|=|-(pV)/(V)|`
`p=V(DeltaV)/(V)=B((DeltaV)/(V))`
where, normal stress =p, volume strain `=-(DeltaV)/(V)`
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