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Q.) Two identical cylindrical vessels with their bases at the same level each contain a liquid of density ρ. The height of the liquid in one vessel is h₁ and that in the other vessel is h₂. The area of either base is A. The work done by gravity in equalizing the levels when the two vessels are connected, is:
[A](h₁ - h₂)gρ
[B](h₁ - h₂)gAρ
[C]1/2 (h₁ - h₂)^2 gAρ
[D]1/4 (h₁ - h₂)^2 gAρ