A cylindrical block floats vertically in a liquid of density ρ1 kept in a container such that the fraction of volume of the cylinder inside the liquid is x1. Then some amount of another immiscible liquid at density ρ2(ρ2<ρ1) is added to the liquid in the container so that the cylinder now floats just fully immersed in the liquid with x2 fraction of volume at the cylinder inside the liquid of density ρ1. The ratio of ρ1ρ2 will be

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A cylindrical block floats vertically in a liquid of density $ρ_{1}$ kept in a container such that the fraction of volume of the cylinder inside the liquid is x₁. Then some amount of another immiscible liquid at density $ρ_{2} (ρ_{2} < ρ_{1})$ is added to the liquid in the container so that the cylinder now floats just fully immersed in the liquid with x₂ fraction of volume at the cylinder inside the liquid of density $ρ_{1} .$ The ratio of $\frac{ρ_{1}}{ρ_{2}}$ will be