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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

`rho_(1) gt rho_(3) gt rho_(2)`

B

`rho_(1) gt rho_(2) gt rho_(3)`

C

`rho_(1) lt rho_(3) lt rho_(2)`

D

`rho_(3) lt rho_(1) lt rho_(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
For equilibrium
`V rho _(3) g = (V)/( 2) rho _(1) g + (V)/( 2) rho _(2) g rho rho_(3) = (rho_(1) + rho_(2))/( 2)`
`:. rho_(1) lt rho_(3) lt rho_(2)`
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