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Two identical cylindrical vessel with th...

Two identical cylindrical vessel with their bases at the same level each contain a liquid of density `rho`. The height of the liquid in one vessel is `h_(1)` and in the other is `h_(2)` the area of either base is A. What is the work done by gravity is equalising the levels when the two vessels are connected?

A

`(h_(1)-h_(2))grho`

B

`(h_(1)h_(2))gArho`

C

`(1)/(2)(h_(1)-h_(2))^(2)gArho`

D

`(1)/(4)(h_(1)-h_(2))^(2)gArho`

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The correct Answer is:
D
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