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NEET UG PHYSICS MCQ: MECHANICAL PROPERTIES OF FLUIDS

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Two cylindrical vessels with their bases at the same level, contain a liquid of density ρ\rho. The height of the liquid in the vessel is h1{h_1} and in the other is h2{h_2}. The area of either base is A. The work done by the gravity in equalizing the levels when the vessels are connected.
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Correct option: D
Aρg4[h1−h2]2\frac{{A\rho g}}{4}{\left[ {{h_1} - {h_2}} \right]^2}
Option D (Aρg4[h1−h2]2\frac{{A\rho g}}{4}{\left[ {{h_1} - {h_2}} \right]^2}) is correct because the work done by gravity is equal to the change in potential energy of the liquid as it equalizes its level.

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