NEET | 2016Basic Maths and Units and DimensionsHard

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 < 1) in the denser liquid. The density d is equal to:

Options

A.

{1 + (n + 1)p}ρ

B.

{2 + (n + 1)p}ρ

C.

{2 + (n - 1)p}ρ

D.

{1 + (n - 1)p}ρ

Solution


f0 = mg
PA(1 - P)Lg + nρApLg = dALg
ρ(1 - p) + nρp = d
[1 - p + np]ρ = d
[1 + (n - 1)p]ρ = d

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