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

Options

A. `1.22xx10^(-2)`
B. `1.4xx10^(-2)`
C. `0.8xx10^(-2)`
D. `1xx10^(-2)`

Answer

A

Explanation

`B=V(DeltaP)/(DeltaV)" "thereforek=(DeltaV)/(VDeltarho)`
`(DeltaV)/(V)=kDeltarho`
`=45.4xx10^(-11)xx10^(3)xx10xx2700`
`=45.4xx27xx10^(-11+3+3)`
`=1.22xx10^(-2)`