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The average depth of India ocean is about 3000m. The fractional compression, $\frac{Δ V}{V}$ of water at the bottom of the ocean (Given that the bulk modulus of water $= 2.2 \times 10^{9} N m^{- 2} a n d g = 10 m s^{- 2}$ ) is

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$0.82 %$

$0.91 %$

$1.36 %$

$1.52 %$

answer is C.

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Detailed Solution

$B = \frac{P}{\frac{Δ V}{V}}; \frac{Δ V}{V} = \frac{P}{B} = \frac{ρ g h}{B} = 1.36 %$

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