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`? 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_1 lt rho_1 lt rho_2`

A jar is filled with two non-mixing liquids 1 and 2 haivng densities `

1.	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`? 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_1 lt rho_1 lt rho_2`
Answer» Correct Answer - C `W = F_B` `rho_3 Vg = rho_1 (V)/(2) g + rho_2 (V)/(2) g` `rho_3 = (rho_1+ rho_2)/(2), rho_3` lies between `rho_1` and `rho_2` `rho_2 gt rho_1` `rho_1 lt rho_3 lt rho_2`.

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