Two identical cylindrical vessels, each of base area A, have their bases at the same…
Physics · JEE Advanced · NTA Exams — Properties of Solids and Liquids
Two identical cylindrical vessels, each of base area A, have their bases at the same horizontal level. They contain a liquid of density ρ. In one vessel the height of the liquid is h1 and in the other h2 > h1. When the two vessels are connected, the work done by gravity in equalizing the levels is
- 2ρ Ag (h2 – h1)2
- ρAg (h2 – h1)2
- \(\frac{1}{2} \rho \mathrm{Ag}\left(\mathrm{~h}_{2}-\mathrm{h}_{1}\right)^{2}\)
- \(\frac{1}{4} \rho \mathrm{Ag}\left(\mathrm{~h}_{2}-\mathrm{h}_{1}\right)^{2}\)
Answer
(D) 1 4 Ag ( ~h _ 2 - h _ 1 )^ 2
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