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Question

The density ρ of water of bulk modulus B at a depth y in the ocean is related to the density at surface by the relation


A

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B

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C

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D

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Solution

The correct option is B


Bulk modulus, B=V0ΔpΔVΔV=V0ΔpB

V=V0[1ΔpB]

Density, ρ=ρ0[1ΔpB]1=ρ0[1+ΔpB]

where, Δp=pp0=hp0g

= pressure difference between depth and surface of ocean

ρ=ρ0[1+ρ0gyB] (As h=y)


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