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The bulk modulus of a spherical object i...

The bulk modulus of a spherical object is `B` if it is subjected to uniform pressure `p`, the fractional decrease in radius is:

A

`(P)/(B)`

B

`(B)/(3P)`

C

`(3P)/(B)`

D

`(P)/(3B)`

Text Solution

Verified by Experts

The correct Answer is:
D
`B= (P)/(- (Delta V)/(V)) rArr |(Delta V)/(V)|=(P)/(B)`
`(Delta V)/(V)= (3 Delta R)/(R) = (P)/(B) rArr (Delta R)/(R)= (P)/(3B)`
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