Q.
The density of water at the surface of the ocean is ρ and atmospheric pressure is p0. If the bulk modulus of water is K, what is the density of ocean water at a depth where the pressure is np0 ?
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Mechanical Properties of Solids
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Solution:
Variation of density with pressure is given by ρ′=[1−kΔp]ρ
Here, Δp=np0−p0=(n−1)p0 ∴ρ′=1−k(n−1)p0ρ=k−(n−1)p0ρk