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Question: The density of water at the surface of the ocean is \(\rho\) and atmospheric pressure is ![](https:/...

The density of water at the surface of the ocean is ρ\rho and atmospheric pressure is If the bulk modulus of water is K, what is the density of ocean water at a depth where the pressure is ?

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Answer

Explanation

Solution

: Variation of density with pressure is given by

ρ′=ρ[1−ΔPK]\rho ^ { \prime } = \frac { \rho } { \left[ 1 - \frac { \Delta \mathrm { P } } { \mathrm { K } } \right] }

Here, ΔP=nP0−P0=(n−1)P0\Delta \mathrm { P } = \mathrm { nP } _ { 0 } - \mathrm { P } _ { 0 } = ( \mathrm { n } - 1 ) \mathrm { P } _ { 0 }