SATHEE: Properties Of Solids And Liquids Question 301

Properties Of Solids And Liquids Question 301

Options:

A) $ρ = ρ_{0} [1 - \frac{ρ_{0} g y}{B}]$

B) $ρ = ρ_{0} [1 + \frac{ρ_{0} g y}{B}]$

C) $ρ = ρ_{0} [1 + \frac{B e t a}{ρ_{0} h g y}]$

D) $ρ = ρ_{0} [1 - \frac{B}{ρ_{0} g y}]$

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Answer:

Correct Answer: B

Solution:

Bulk modulus, $B = - V_{0} \frac{Δ p}{Δ V} \Rightarrow Δ V = - V_{0} \frac{Δ p}{B}$

therefore $V = V_{0} [1 - \frac{Δ p}{B}]$

Density, $ρ = ρ_{0} {[1 - \frac{Δ p}{B}]}^{- 1} = ρ_{0} [1 + \frac{Δ p}{B}]$

where, $Δ p = p - p_{0} = h ρ_{0} g$

= pressure difference between depth and surface of ocean $ρ = ρ_{0} [1 + \frac{ρ_{0} g y}{B}]$ (As h = y)

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Properties Of Solids And Liquids Question 301

Question: The density ρ of water of bulk modulus B at a depth y in the ocean is related to the density at surface ρ0 by the relation

Options:

Answer:

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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 $ρ_{0}$ by the relation