Q.
A jar id 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 $\rho_{1},\rho_{2}\ and\ \rho_{3}?$
A) $\rho_{3} < \rho_{1} < \rho_{2}$
B) $\rho_{1} < \rho_{3} < \rho_{2}$
C) $\rho_{1} < \rho_{2} < \rho_{3}$
D) $\rho_{1} < 3 < \rho_{2}$
Explanation
(d) $\rho_{1} < \rho_{2}$ as denser liquid acquires lowest position of vessel.
$\rho_{3} < \rho_{2}$ as ball sinks in liquid 1 and $\rho_{3} < \rho_{2}$ as ball doesn’t sinks in liquid 2, so
$\rho_{1} < \rho_{3} < \rho_{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.