A jar is filled with two non-mixing liquids 1 and 2 having densities ρ₁ and ρ₂ respectively. A solid ball, made of a material of density ρ₃, is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for ρ₁, ρ₁ and ρ₃? (a) ρ₃ ρ₃ > ρ₂ (c) ρ₁ < ρ₂ < ρ₃ (d) ρ₁ < ρ₃ < ρ₂

Answer: (d). Liquid 1 is on top of liquid 2, so ρ₁ ρ₁) but floats on liquid 2 ( ρ₃ < ρ₂). So the answer is (d) ρ₁ < ρ₃ < ρ₂.

A jar is filled with two non-mixing liquids 1 and 2 having densities… | JEE Main 2008 (AIEEE)

Q24JEE Main 2008 · AIEEEMedium

Archimedes' Principle & Floatation

A jar is filled with two non-mixing liquids $1$ and $2$ having densities $\rho_1$ and $\rho_2$ respectively. A solid ball, made of a material of density $\rho_3$ , is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for $\rho_1,\ \rho_1$ and $\rho_3$ ?

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Answer: (d)

Liquid 1 is on top of liquid 2, so $\rho_1 < \rho_2$ .
The ball sits at the interface: it sinks through liquid 1 ( $\rho_3 > \rho_1$ ) but floats on liquid 2 ( $\rho_3 < \rho_2$ ).
So the answer is (d) $\rho_1 < \rho_3 < \rho_2$ .

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