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The approximate depth of an ocean is 270...

The approximate depth of an ocean is 2700 m. The compressibility of water is `45.4 xx 10^(-11) Pa^(-1)` and density of water is `10^(3) kg//m^(3)`. What fractional compression of water will be obtained at the bottom of the ocean ?

A

`1.0 xx 10^(-2)`

B

`1.2 xx 10^(-2)`

C

`1.4 xx 10^(-2)`

D

`0.8 xx 10^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`(Delta V)/(V) = (P)/(B) (rho gh)/(B)= (1000 xx 10 xx 2700)/((1)/(45) xx 10^(11))= 1.215 xx 10^(-2)` [`because` compressibility `= (1)/(B)`]
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