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`)

Options

A. `0.82%`
B. `0.91%`
C. `1.36%`
D. `1.24%`

Answer

C

Explanation

The pressure exerted by a 3000 m column of water on the bottom layer is
`P = hrhog = 3000 m xx 1000 kg m^(-3) xx 10 m s^(-2) = 3 xx 10^(7) N m^(-2)`
Fractional compression `(DeltaV)/(V) ` is.
`(DeltaV)/(V) = (P)/(B) = (3xxx 10^(7) N m^(-2))/(2.2 xx 10^(9) N m^(-2)) = 1.36 xx 10^(-2) = 1.36%`