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 cylinderA. `(rho)/(n)`B. `rhon`C. `(n)/((n+1))`D. none

A wooden cylinder of length L is partly submerged in a liquid of speci

1.	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 cylinderA. `(rho)/(n)`B. `rhon`C. `(n)/((n+1))`D. none
Answer» Correct Answer - B `n=(rho)/(rho_(1))`, or `rho_(1)=(rho)/(n)` but `rho^(2)=rho_(1)rho_(2)=(rho)/(2)rho_(2)` or `rho_(2)=rho.n`

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