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The average depth of indian ocean is abo...

The average depth of indian ocean is about 3000 m. What is the fractional compression, `Delta V//V` of water at the bottom of ocean ? (bulk modulus of water `= 2.2 xx 10^(9) Nm^(-2)` & `g = 10 ms^(-2)`)

Text Solution

Verified by Experts

Pressure `= h rho g = 3000 xx 1000 xx 10`
`= 3 xx 10^(7) Nm^(2)`
Fractional all compression
`(Delta V)/(V) = (rho)/(B) = (3 xx 10^(7) Nm^(-2))/(2.2 xx 10^(9) Nm^(-2))`
`= 1.36 xx 10^(-2)` or `1.36%`
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