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The average depth of Indian Ocean is abo...

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 2.2 `xx` `10^(9)``"N""m"^(-2)`. (Take `g=10" m s"^(-2)`)

Text Solution

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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%`
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