Question

A jar is filled with two non-mixing liquids 1 and 2 having densities $s_1$ and $s_2$ respectively. A solid ball, made of a material of density $s_3$, is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for $s_1,s_2,s_3$?

• A. $s_3<s_1<s_2$
• B. $s_1<s_3<s_2$
• C. $s_1<s_2<s_3$
• D. $s_1<s_3<s_2$

Answer 1

The correct option is D $s_1<s_3<s_2$

Here, ${\rho }_1<{\rho }_2$ (demer liquid takes lower position)

${\rho }_3>{\rho }_1$ (As the ball sinks in liquid 1)

${\rho }_3<{\rho }_2$ (As the ball doen’t sink in liquid 2)

Hence, ${\rho }_1<{\rho }_3<{\rho }_2$