Question

The average depth of indian Ocean is about 3000 m. The fractional compression, `(triangleV)/(V)` of water at the bottom of the ocean is (Given Bulk modulus of the water `=2.2xx10^9Nm^-2` and `g=10ms^-2`)

Answer 1

The pressure exerted by a 3000 m column of water on the bottom layer
`P=phi gh=3000m xx1000kgm^(-3)xx10ms^(-2)`
`=3xx10^(7)Nm^(-2)`
`"Fractional compression "(DeltaV)/(V)` is
`(DeltaV)/(V)=("Stress")/(B)=((3xx10^(7)Nm^(-2)))/((2.2xx10^(9)Nm^(-2)))`
`=1.36xx10^(-2)or 1.36%`