# Two identical cylindrical vessels with their bases at same level each contains a liquid of density . The height of the liquid in vessel is and that in the other vessel is .  The area of either base is . The work done by gravity in equalizing the levels when the two vessels are connected, is a) b) c) d)

## Question ID - 51495 | SaraNextGen Top Answer Two identical cylindrical vessels with their bases at same level each contains a liquid of density . The height of the liquid in vessel is and that in the other vessel is .  The area of either base is . The work done by gravity in equalizing the levels when the two vessels are connected, is a) b) c) d)

Answer Key / Explanation : (d) -

(d)

If  is the common height when they are connected, by conservation of mass

[As  given]

As  and  are heights of initial centre of gravity of liquid in two vessels, the initial potential energy of the system

…(i)

When vessels are connected the height of centre of gravity of liquid in each vessel will be

Final potential energy of the system

…(ii)

Work done by gravity