The average depth of Indian Ocean is about 3000 m. Calculate the fractional compression, `DeltaV//V`, of water at the bottom of the ocean, given that the bulk modulus of water is `2.2xx10^(9)" N m"^(-2)`. (Take `g=10" m s"^(-2)`)

Explanation

The pressure exerted by a 3000 m column of water on the bottom layer
`p=hrho" g"=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%`