What is the approximate change in densityof water in a lake at a depth of 400m below the surface ? The density of water at the surface is 1030 `kgm^(-3)` and bulk modulus of water is `2xx10^(9) Nm^(-2)`.

Options

A. `4 kgm^(-3)`
B. `2 kgm^(-3)`
C. `6 kgm^(-3)`
D. `8 kgm^(-3)`

Answer

B

Explanation

(b) The density of water `drho=(rho)/(B)*dp`
`dp=rhogh=(1030)(10)(400)=4.12xx10^(6) Nm^(-2)`
`therefore dp=(1030)/(2xx10^(9)xx4.12xx10^(6)=2.12 Kgm^(-3)`