Two cylindrical vessels of equal cross sectional area of 
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 
and 
)
Text Solution
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First, when the two vessels are connected, the water levels equalize at
We can get the work done by gravity from the loss of gravitational potential energy:
Initial potential energy (taking the bottom as zero)
For a column of height H and cross-section A,
So
Final potential energy (both at height 8 m)
Work done by gravity = drop in potential energy
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