Questions

A jar is filled with two non-mixing liquids 1 and 2 having densities p_{1} and p_{2} , respectively A solid ball, made of a material of density p_{3}, is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for ${\mathrm{p}}_{1},{\mathrm{p}}_{2}\mathrm{and}{\mathrm{p}}_{3}$

a

${\mathrm{p}}_{1}>{\mathrm{p}}_{3}>{\mathrm{p}}_{2}$

b

${\mathrm{p}}_{1}>{\mathrm{p}}_{2}>{\mathrm{p}}_{3}$

c

${\mathrm{p}}_{1}<{\mathrm{p}}_{3}<{\mathrm{p}}_{2}$

d

${\mathrm{p}}_{3}<{\mathrm{p}}_{1}<{\mathrm{p}}_{2}$

detailed solution

Correct option is C

- According to the diagram for the question, the liquid 2 with the higher density will sink to the bottom, and the ball with the lower density will float on top of it.
- Similar to how liquid 1 will float on liquid 2, the ball will sink in liquid 1, and liquid 1 has less density than both the ball and liquid 2.
- As a result, we can infer that liquid 2 has the highest density, followed by a ball and liquid 1.

Hence the correct answer is ${\mathrm{p}}_{1}<{\mathrm{p}}_{3}<{\mathrm{p}}_{2}$.

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