If average depth of an ocean is 4000 ~m and the bulk modulus of water is 2 × 10⁹ ~Nm⁻², then fractional compression (Δ V)/V of water at the bottom of ocean is α × 10⁻². The value of α is _ _ _ _ (Given, g=10 ~ms⁻², ρ=1000 ~kg ~m⁻³)

Properties of Solids and Liquids: JEE Main 2024 Physics question

JEE Main 2024 · 27 Jan, Morning shift · Q74

JEE Main 202427 Jan, Morning shiftPhysicsMediumProperties of Solids and Liquids184× since 2002

If average depth of an ocean is

4000 \mathrm{~m}

and the bulk modulus of water is

2 \times 10^9 \mathrm{~Nm}^{-2}

, then fractional compression

\frac{\Delta V}{V}

of water at the bottom of ocean is

\alpha \times 10^{-2}

. The value of

\alpha

is _______ (Given,

\mathrm{g}=10 \mathrm{~ms}^{-2}, \rho=1000 \mathrm{~kg} \mathrm{~m}^{-3}

)

Your answerType your answer. Integers and decimals are accepted.

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