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A jar filled with two non-mixing liquid ...


A jar filled with two non-mixing liquid 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 come to equilibrium in the position shown in the figure. Which of the following is true for `rho_(1),rho_(2)` and `rho_(3)`?

A

`p_(3) lt p_(1) lt p_(2)`

B

`p_(1) gt p_(3) gt p_(2)`

C

`p_(1) lt p_(2) lt p_(3)`

D

`p_(1) lt p_(3) lt p_(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Liquid with density `p_(1)` floats above the liquid with density `p_(2)," hence "p_(1) lt p_(2)`,
Further solid ball of density `p_(3)` is unable to sink in `p_(2)`, hence `p_(3) lt p_(2)`. But the ball sinks in liquid of density `p_(1)`, hence `p_(3) gt p_(1)`. So we can understand that `p_1 lt p_3 lt p_2`.
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