The approximate depth of an ocean is `2700m`. The compressibility of water is `45.4xx10^(-11)Pa^-1` and density of water is `10^3(kg)/(m^3)`. What fractional compression of water will be obtained at the bottom of the ocean?

Options

A. `1.0 xx 10^(-2)`
B. `1.3 xx 10^(-2)`
C. `1.4 xx 10^(-2)`
D. `0.8 xx 10^(-2)`

Explanation

`B = (Delta P)/(Delta V // V) implies `compressibility `= (1)/(B) = (Delta V // V)/(Delta P)`
`(Delta V)/(V) = (Delta P)/(B) = (rho gh)/(B)`
`10^(3) xx 10 xx 2700 xx 45.4 xx 10^(-11)`
`= 1.2 xx 10^(-2)`