First slide
Fluid statics
Question

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:

Moderate
Solution

LAdg = (pL)A()g+(1-p)LAρg

d = (1-p)ρ+pn ρ = [1+(n-1)p]ρ

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