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# Two cylindrical vessels of equal cross sectional area contain water up to heights ${\mathrm{h}}_{1}\left(>{\mathrm{h}}_{2}\right)$   and ${\mathrm{h}}_{2}$ . 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  $\mathrm{\rho }$ is the density of water.

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By Expert Faculty of Sri Chaitanya
a
ρAh1-h222g
b
ρAh1+h222g
c
ρAh22gh1
d
ρAh12gh2
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detailed solution

Correct option is A

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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