The density $\rho $ of water of bulk modulus $B $ at a depth y in the ocean is related to the density at surface ${\rho _0}$ by the relation
Diffcult
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(b) Bulk modulus, $B = - {V_0}\frac{{\Delta p}}{{\Delta V}} \Rightarrow \Delta V = - {V_0}\frac{{\Delta p}}{B}$
==> $V = {V_0}\left[ {1 - \frac{{\Delta p}}{B}} \right]$
Density, $\rho = {\rho _0}{\left[ {1 - \frac{{\Delta p}}{B}} \right]^{ - 1}} = {\rho _0}\left[ {1 + \frac{{\Delta p}}{B}} \right]$
where, $\Delta p = p - {p_0} = h{\rho _0}g$
= pressure difference between depth and surface of ocean
$\rho = {\rho _0}\left[ {1 + \frac{{{\rho _0}gy}}{B}} \right]$(As $h = y)$
==> $V = {V_0}\left[ {1 - \frac{{\Delta p}}{B}} \right]$
Density, $\rho = {\rho _0}{\left[ {1 - \frac{{\Delta p}}{B}} \right]^{ - 1}} = {\rho _0}\left[ {1 + \frac{{\Delta p}}{B}} \right]$
where, $\Delta p = p - {p_0} = h{\rho _0}g$
= pressure difference between depth and surface of ocean
$\rho = {\rho _0}\left[ {1 + \frac{{{\rho _0}gy}}{B}} \right]$(As $h = y)$
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