Momentum and CollisionHard
Question
A jar 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 ?
Options
A.ρ3 < ρ1 < ρ2
B.ρ1 < ρ3 < ρ2
C.ρ1 < ρ2 < ρ3
D.ρ1 < ρ3 < ρ2
Solution
As liquid 1 floats above liquid 2,
ρ1 < ρ3
The ball is unable to sink into liquid 2,
ρ3 < ρ2
The ball is unable to rise over liquid 1,
ρ1 < ρ3
thus, ρ1 < ρ3 < ρ2
ρ1 < ρ3
The ball is unable to sink into liquid 2,
ρ3 < ρ2
The ball is unable to rise over liquid 1,
ρ1 < ρ3
thus, ρ1 < ρ3 < ρ2
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