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=hrhog=3000" m"xx1000" kg m"^(-3)xx10" m s"^(-2)`
`" "=3xx10^(7)"kg m"^(-1)"s"^(-2)`
`" "=3xx10^(7)"N m"^(-2)`
Fractional compression `DeltaV//V`, is
`DeltaV//V="Stress"//B=(3xx10^(7)"N m"^(-2))//(2.2xx10^(9)"N m"^(-2))`
`" "=1.36xx10^(-2)` or 1.36%