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`?

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)`.