STANDARD Physics Bulk Modulus MCQ Question
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?
ρK / (K - nP₀)
ρK / (K + nP₀)
ρK / (K + (n - 1)P₀)
ρK / (K + (n - 1)P₀)
Correct Answer
Detailed Explanation
Variation of density with pressure is given by ρ' = ρ / (1 - ΔP/K). Here, ΔP = nP₀ - P₀ = (n - 1)P₀. Substituting this into the equation gives the density at depth as ρK / (K + (n - 1)P₀).
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