The diagram shows a jar 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 into 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
    ${\rho _1} > {\rho _3} > {\rho _2}$

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