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Two cylindrical vessels of equal cross-s...

Two cylindrical vessels of equal cross-sectional area A contain water up to heights `h_(1)` and `h_(2)`. The vessels are interconnected so that the levels in them are equal.Calculate the work done by the force of gravity during the process. The density of water is p.

A

`rhoA((h_(1)-h^(2))/2)^(2)g`

B

`rhoA((h_(1)+h^(2))/2)^(2)g`

C

`(rhoAh_(2)^(2)g)/(h_(1))`

D

`(rhoAh_(1)^(2)g)/(h_(2))`

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The correct Answer is:
A
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