A ball is made of a material of density ρ where ρoil < ρ < ρwater… | JEE Main 2010 (AIEEE)

Q23JEE Main 2010 · AIEEEMedium

Density, Compressibility & Pascal's Law

A ball is made of a material of density $\rho$ where $\rho_{oil} < \rho < \rho_{water}$ with $\rho_{oil}$ and $\rho_{water}$ representing the densities of oil and water, respectively. The oil and water are immiscible. If the above ball is in equilibrium in a mixture of this oil and water, which of the following pictures represents its equilibrium position?

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Answer: (b)

Oil is lighter than water, so oil forms the upper layer and water the lower layer.
$\rho > \rho_{oil}$ : the ball sinks through oil. $\rho < \rho_{water}$ : it cannot sink into water fully.
So it rests at the oil–water interface, partly in each liquid.
So the answer is (b).

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Density, Compressibility & Pascal's Law question from JEE Main 2010 (AIEEE)

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