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Two connected cylindrical vessels with water at different heights: work done by gravity

The same question, asked 2 times: 27 Jul 2022*, 3 Apr 2025. Every wording below, oldest first.

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  1. Question 1

    27 Jul 2022

    5
    Two cylindrical vessels of equal cross-sectional area 16 cm216{\text{ }cm}^{2} contain water upto heights 100 cm100\text{ }cm and 150 cm150\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 =103 kg/m3=10^{3}\text{ }kg/m^{3} and g=10 ms−2g = 10{\text{ }ms}^{- 2} ]

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  2. Question 2

    3 Apr 2025

    78
    Two cylindrical vessels of equal cross sectional area of 2 m22{\text{ }m}^{2} contain water upto height 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 103 kg/m310^{3}\text{ }kg/m^{3} and g=10 m/s2g = 10\text{ }m/s^{2} )

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