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A cylindrical block floats vertically in...

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) (rho_(2) lt rho_(1))` 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

A

`(1-x_(1))/(x_(1)-x_(2))`

B

`(1-x_(1))/(x_(1) + x_(2))`

C

`(x_(1)-x_(2))/(x_(1) + x_(2))`

D

`(x_(2))/(x_(1))-1`

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