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Physics Fluid Mechanics AIPMT / NEET Question Previous Years MCQ (Single Correct)

Two non-mixing liquids of densities ρ and n ρ (n > 1) are put in 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 t

{1 + (n – 1) p} ρ

{1 + (n + 1) p} ρ

{2+(n + 1) p} ρ

{2 + (n – 1) p} ρ

Text Solution

Verified by Experts

The correct answer is:

wt of body = upthrust by the two liquids

If A = Area of section then

(d A.L) g = [ ρ A (L - pL) + n ρ ApL] g

On solving

⇒ d = (1+ (n - 1) p) ρ

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