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Q.

There are two identical containers each of area of cross section A one has liquid of density d upto a height h and the other one is empty. If they are joined by means of narrow pipe at the bottom, the work done by gravity in equalizing the water levels is

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a

Adgh24

b

Adgh22

c

Adgh216

d

Adgh2

answer is A.

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Detailed Solution

Workdone =mgΔh=h1-h22Aρgh1-h22 =h1-h222Aρg=h2Aρg4∵h1-h2=h
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