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A wooden cylinder of length l floats ver...

A wooden cylinder of length l floats vertically in a liquid of specific gravity `rho` with `((1)/(3))^(rd)` part of its length submerged. Another liquid that is immiscible with the previous liquid is poured into it, to just completely submerge the cylinder. If the density of the liquid at the bottom, density of cylinder and density of upper liquid are in G.P., find the fraction of the cylinder submerged in lower liquid.

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A wooden cylinder of length L is partly submerged in a liquid of specific gravity rho_(1) with n^(th) (nlt1) part of it inside the liquid. Another immiscible liquid of density rho_(2) is poured to completely submerge the cylinder. Density of cylinder rho is the geometric mean of the densities of the two liquid. Calculate the fraction of the cylinder submerged in the lower liquid after the upper liquid is poured in the vessel

A wooden cylinder of length L is partly submerged in a liquid of specific gravity rho_(1) with n^(th) (nlt1) part of it inside the liquid. Another immiscible liquid of density rho_(2) is poured to completely submerge the cylinder. Density of cylinder rho is the geometric mean of the densities of the two liquid. Express the density of upper liquid in terms of density of cylinder

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