Physics · Fluid Mechanics
Two identical cylindrical vessels are kept on the ground and each contains the same liquid of density d. The area of the base of both vessels is S, but the height of liquid in one vessel is x1 and in the other is x2. When both cylinders are connected through a pipe of negligible volume very close to the bottom, the liquid flows from one vessel to the other until it comes to equilibrium at a new height. The change in potential energy of the system in the process is:
- 114gdS(x2 - x1)2✓
- 234gdS(x2 - x1)2
- 3gdS(x2 + x1)2
- 4gdS(x22 + x12)
Correct answer
14gdS(x2 - x1)2
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