the average depth of indian ocean is about 3000m.Thevalue of frictional compression `((DeltaV)/V)` of water at the bottom of the ocean is (given that the bulk modulus of water is `(2.2xx10^(9)Nm^(-2),g=9.8ms^(-2),PH_(2)O=1000kg.m^(-3))`

Options

A. `3.4xx10^(-2)`
B. `1.34xx10^(-2)`
C. `4.13xx10^(-2)`
D. `13.4xx10^(-2)`

Answer

B

Explanation

The fractional compression or decrease in volume `(DeltaV)/(V)=(hrhog)/(k)`
where, h=depth(average), p=density of ocean water, g=gravitational acceleration and k=bulk mokulus
`Rightarrow (DeltaV)/(V)=(3xx10^(3)xx10^(3)xx9.8)/(2.2xx10^(9))`
`=(3)/(2.2)xx10^(-4)xx98=(147)/(11)xx10^(-4)=1.34xx10^(-2)`