The density `rho` of water of buk modulus B at a depth y then ocean is related to the density at surface `rho_(0)` by the relation

Options

A. `rho=rho_0[1-(rho_0 gy)/(B)]`
B. `rho=rho_0[1+(rho_0 gy)/(B)]`
C. `rho=rho_0[1+(B)/(rho_0 gy)]`
D. `rho=rho_0[1-(B)/(rho_0 gy)]`

Answer

B

Explanation

Since, `rho prop 1/V implies (rho)/(rho_0)=(V)/(V.)=(V)/(V+dV)=(V)/(V-((dp)/(B))V)`
`(rho)/(rho_0)=(1)/(1-(dp)/(B)) implies rho=rho_0(1+(rho_0 gy)/(B))`