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A jar is filled with two non-mixing liqu...

A jar is filled with two non-mixing liquids 1 and 2 haivng 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`?

A

(a) `rho_3ltrho_1ltrho_2`

B

(b) `rho_1gtrho_3gtrho_2`

C

(c) `rho_1ltrho_2ltrho_3`

D

(d) `rho_1ltrho_3ltrho_2`

Text Solution

Verified by Experts

The correct Answer is:
D
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 `rho_1ltrho_2`
Also `rho_3ltrho_2` otherwise the ball would have floated in liquid 1. From the above discussion we conclude that `rho_1ltrho_3ltrho_2`.
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