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Two cylindrical vessels of equal cross sectional area contain water up to heights h1>h2 and h2 . The vessels are inter connected so that the levels in them become equal. Calculate the work done by the force of gravity during this process if ρ is the density of water.

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a

ρAh1-h222g

b

ρAh1+h222g

c

ρAh22gh1

d

ρAh12gh2

answer is A.

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Detailed Solution

Since volume is constantHeight in each vessel after inter connection is h1+h22Mass of water in vessel in which liquid falls =ρAh1-h1+h22=ρAh1-h22Height descended by this water = h1-h22Work done =ρAh1-h222g

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Two cylindrical vessels of equal cross sectional area contain water up to heights h1>h2 and h2 . The vessels are inter connected so that the levels in them become equal. Calculate the work done by the force of gravity during this process if ρ is the density of water.