A cylindrical block floats vertically in a liquid of density \( \rho_{1} \) kept in a container ...

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A cylindrical block floats vertically in a liquid of density \( \rho_{1} \) kept in a container such that the fraction of volume of the cylinder inside the liquid is \( x_{1} \). Then some amount of another immiscible liquid of density \( \rho_{2}\left(\rho_{2}\rho_{1}\right) \) is added to the liquid in the container so that the cylinder now floats just fully immersed in the liquids with \( x_{2} \) fraction of volume of the cylinder inside the liquid of density \( \rho_{1} \). The ratio \( \rho_{1} / \rho_{2} \) will be
[WB-JEE 2013]
(a) \( \frac{1-x_{2}}{x_{1}-x_{2}} \)
(b) \( \frac{1-x_{1}}{x_{1}+x_{2}} \)
(c) \( \frac{x_{1}-x_{2}}{x_{1}+x_{2}} \)
(d) \( \frac{x_{2}}{x_{1}}-1 \)
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