A jar is filled with two non – mixing liquids 1 and 2 having densities $ρ_{1}$ and $ρ_{2}$ respectively. A solid ball, made of a material of density $ρ_{3}$ , is dropped in the jar. It comes to equilibrium in the position shown in the figure.
Which of the following is true for $ρ_{1}, ρ_{2} a n d ρ_{3}$ ?

Question

A jar is filled with two non – mixing liquids 1 and 2 having densities $ρ_{1}$ and $ρ_{2}$ respectively. A solid ball, made of a material of density $ρ_{3}$ , is dropped in the jar. It comes to equilibrium in the position shown in the figure.

Which of the following is true for $ρ_{1}, ρ_{2} a n d ρ_{3}$ ?

Infinity Learn · Accepted Answer

From the figure  it  is clear that liquid $$1$$ floats on liquid $$2$$. The lighter liquid floats over heavier  liquid. Therefore we can conclude that ρ$$1$$<ρ$$2$$      Also ρ$$3$$<ρ$$2$$     otherwise the ball would have sink to the bottom of the  jar.  Alsoρ$$3$$<ρ$$1$$      otherwise the ball  would have floated in liquid $$1$$. From the above discussion we conclude that ρ$$1$$<ρ$$3$$<ρ$$2$$     .

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A jar is filled with two non – mixing liquids 1 and 2 having densities ρ1 and ρ2 respectively. A solid ball, made of a material of density ρ3 , is dropped in the jar. It comes to equilibrium in the position shown in the figure.Which of the following is true for ρ1,ρ2 and ρ3 ?

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