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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 :
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- {1 + (n + 1)p}ρ
- {2 + (n + 1)p}ρ
- {2 + (n – 1)p}ρ
- {1 + (n – 1)p}ρ
Correct Option: D
As we know, Pressure P = Vdg
Here, L A d g = (pL) A (nρ)g + (1 – p)L A ρ g
⇒ d = (1 – p)ρ + pn ρ = [1 + (n – 1)p]ρ
