NEET2016Physics-Fluids

NEET 2016 Physics Buoyancy MCQ Question

Type: MCQ-conceptual-Hard-Class 11

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

A

[²⁺ (n − 1)p]ρ

B

[¹⁺ (n − 1)p]ρ

C

[¹⁺ (n + 1)p]ρ

D

[²⁺ (n + 1)p]ρ

Correct Answer

Option B

Detailed Explanation

Using the principle of flotation and balancing the buoyant forces from both liquids, the density of the cylinder is derived.

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