A jar filled with two non mixing liquids 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 comes 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 _a lt rho _1 lt rho_2 `
B. `rho_1 gt rho _3 gt rho _2 `
C. `rho _1 lt rho _2 lt rho _3 `
D. `rho _1 lt rho _3 lt rho _2`

Answer

D

Explanation

`rho_(1)ltrho_(2)` because the denser liquid acquires the lowest position in the vessel. `rho_(3)gtrho_(1)` because the ball sinks in liquid 1, and `rho_(3)ltrho_(2)` because the ball doesn’t sink in liquid 2. So `rho_(1)ltrho_(3)ltrho_(2)`.