Physics · 2020
JEE Main · 4 September 2020, Shift 2 · Q8
Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density d. The area of the base of both vessels is S but…
Two identical cylindrical vessels are kept on the ground and each contain 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 $\displaystyle x_1$ and in the other, $\displaystyle x_2$. 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 energy of the system in the process is :
Official answer
(4)
$\displaystyle \frac{1}{4} \mathrm{gdS}\left(x_2-x_1\right)^2$
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JEE Main 2020 Physics question, with the answer from NTA’s final answer key. Where our answers come from.