The approximate depth of an ocean is 2700 m. 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. `1.0xx10^(-2)`
B. `1.2xx10^(-2)`
C. `1.4xx10^(-2)`
D. `0.8xx10^(-2)`

Explanation

`B=(P)/((Deltav//v))or(Deltav)/(v)=(P)/(B)`
`(Deltav)/(v)=hrhogxxK " " "as"P=h rho g, B= (1)/(K)`
`(Deltav)/(v)=2700xx10^(3)xx9.8xx45.4xx10^(-11)`
`=1.2xx10^(-2)`