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)`?

Options

A. `rho_(3)ltrho_(1)ltrho_(2)`
B. `rho_(1)gtrho_(3)gtrho_(2)`
C. `rho_(1)ltrho_(2)ltrho_(3)`
D. `rho_(1)ltrho_(3)ltrho_(2)`

Answer

A

Explanation

`rho_(1)ltrho_(2)` as denser liquid acquires lowest position of vessel `rho_(3)gtrho_(1)` as ball sinks in liquid 1 and `rho_(3)ltrho_(2)` as ball doesn't sinks in liquid 2, so
`rho_(1)ltrho_(3)rho_(2)`