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. `0.8xx10^-2`
B. `1.0xx10^-2`
C. `1.2xx10^-2`
D. `1.4xx10^-2`

Answer

C

Explanation

Bulk modulus `|B|=(trianglep)/(((triangleV)/(V)))`
`B=(1)/(compresibility(K))`
`(1)/(K)=(rrhog)/(((triangleV)/(V)))`
`((triangleV)/(V))=(hrhog)K`
`implies(triangleV)/(V)=2.7xx10^3xx10^3xx10xx45.4xx10^(-11)`
`=1.23xx10^-2`