The fractional compression of a fluid under pressure is given by $\frac{\Delta V}{V} = \frac{P} {B}$, where $P$ is the pressure and $B$ is the bulk modulus. The pressure at the bottom of an ocean is given by $P = \rho g h$, where $\rho$ is the density of the fluid, $g$ is the acceleration due to gravity, and $h$ is the depth.
The average depth of Indian ocean is about 3000 m. The fractional compression, $ \frac{\Delta V}{V}$ of water at the bottom of the ocean would be (given that the bulk modulus of water is $2.2 \times 10^9$ Nm$^{-2}$ and g = 10 ms$^{-2}$)
Asked in Co operative Supervisor & Environment Supervisor (Group C) Exam 2023 · Topic: Physical Properties of Materials (Elasticity and Plasticity)
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