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← JEE Main 2022 · 27 Jul · Shift 1
PhysicsSingle correct+4 / -1Question 35 of 90

JEE Main 2022 · 27 Jul · Shift 1, Physics question 35

Two cylindrical vessels of equal cross-sectional area 16 cm2^2 contain water upto heights 100 cm and 150 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 = 10310^3 kg/m3^3 and g = 10 ms−2^{-2}] :

Choose one option
Answer and worked solution

Official answer: B

Final level 125 cm.

Water moved. 25 cm of water (16×10−4×0.2516\times10^{-4}\times0.25 m³, i.e. 0.4 kg) moves across, and its centre falls from 137.5 cm to 112.5 cm.

Work 0.4×10×0.25=10.4\times10\times0.25=1 J. (B)