Two cylindrical vessels of equal cross-sectional area 16 cm² contain… | JEE Main 2022 (27 Jul, Shift 1)

Q15JEE Main 2022 · 27 JUL · SHIFT 1Medium

Pressure in a Fluid

Two cylindrical vessels of equal cross-sectional area $16\text{ cm}^{2}$ contain water upto heights $100\text{ cm}$ and $150\text{ cm}$ respectively. The vessels are interconnected so that the water levels in them become equal. The work done by the force of gravity during the process, is [Take, density of water $= 10^{3}\text{ kg/m}^{3}$ and $g = 10\text{ m s}^{-2}$ ]:

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Answer: (b)

Final common height $= \dfrac{100 + 150}{2} = 125\text{ cm}$ , so a 25 cm layer moves across.
Mass moved: $m = 10^3\times16\times10^{-4}\times0.25 = 0.4\text{ kg}$ .
Its centre falls from 137.5 cm to 112.5 cm, i.e. 0.25 m.
$W = 0.4\times10\times0.25 = 1\text{ J}$
So the answer is (b) 1 J.

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Pressure in a Fluid question from JEE Main 2022 (27 Jul, Shift 1)

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