A jar is 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 ${\rho _1}$ , ${\rho _1}$ and ${\rho _3}$ ?

Question

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

${\rho _1} > {\rho _3} > \rho {}_2$

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

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

Solution

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