Two non-mixing liquids of densities ρ and nρ(n > 1) are put in a container. The height of each liquid is h. A solid cylinder of length L and density d is put in this container. The cylinder floats with its axis vertical and length pL(p < l) in the denser liquid. The density d is equal to:

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{1+(n+1)p}ρ

{2+(n+1)p}ρ

{2+(n-1)p}ρ

{1+(n-1)p}ρ

answer is D.

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Detailed Solution

LAdg = (pL)A(nρ)g+(1-p)LAρg⇒d = (1-p)ρ+pn ρ = [1+(n-1)p]ρ

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