A jar is filled with two non-mixing liquids 1 and 2 having densities p₁ and p₂ , respectively A solid ball, made of a material of density p₃, is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for ${\mathrm{p}}_1, {\mathrm{p}}_2 \mathrm{and} {\mathrm{p}}_3$

 

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 ${\mathrm{p}}_1<{\mathrm{p}}_3<{\mathrm{p}}_2$.