The density of water at the surface of ocean is `rho` . If the bulk modulus of water is `B`, then the density of ocean water at depth, when the pressure at a depth is `alphap_(0)` and `p_(0)` is the atmospheric pressure is

Options

A. `(rhoK)/(k-nP_(0))`
B. `(rhoK)/(K +nP_(0))`
C. `(rhoK)/(K-(n-1)P_(0))`
D. `(rhoK)/((K+(n-1)P_(0)))`

Answer

C

Explanation

Variation of density with pressure is given by `rho'= (rho)/([1-(DeltaP)/(K)])`
Here, `DeltaP = nP_(0) -P_(0) = (n -1)P_(0)`
`therefore rho'=(rho)/(1-((n-1)P_(0))/(K)) = (rhoK)/(K-(n-1)P_(0))`