Two cylindrical vessels of equal cross sectional area of 2 m² contain… | JEE Main 2025 (3 Apr, Shift 2)

Q5JEE Main 2025 · 3 APR · SHIFT 2Medium

Pressure in a Fluid

Two cylindrical vessels of equal cross sectional area of $2\text{ m}^{2}$ contain water upto heights 10 m and 6 m, respectively. If the vessels are connected at their bottom then the work done by the force of gravity is (Density of water is $10^{3}\text{ kg/m}^{3}$ and $g = 10\text{ m/s}^{2}$ )

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Answer: (c)

Final common height $= \dfrac{10 + 6}{2} = 8\text{ m}$ , so a 2 m layer moves from vessel 1 to vessel 2.
Mass moved: $m = \rho A \times 2 = 1000\times2\times2 = 4000\text{ kg}$ .
Its centre of mass falls from 9 m to 7 m, i.e. 2 m.
$W = mg\Delta h = 4000\times10\times2 = 8\times10^4\text{ J}$
So the answer is (c).

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