If average depth of an ocean is 4000m and the bulk modulus of water is , then fractional compression of water at the bottom of ocean is . The value of is

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Solution

Q.
If average depth of an ocean is 4000m and the bulk modulus of water is $2 \times 10^{9}$ $N m^{- 2}$ , then fractional compression $\frac{∆ V}{V}$ of water at the bottom of ocean is $α \times 10^{- 2}$ . The value of $α$ is ______ . $(G i v e n, g = 10 m s^{- 2}, ρ = 1000 k g$ $m^{- 3})$ [2024]

Ans.
(2)    $B = \frac{Δ P}{(\frac{Δ V}{V})}$

   $- (\frac{Δ V}{V}) = \frac{ρ g h}{B} = \frac{1000 \times 10 \times 4000}{2 \times 10^{9}}$

   $= 2 \times 10^{- 2} [- ve sign represents compression]$

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