Two identical cylindrical vessels are kept... | Fluids

JEE MAIN 2020

04.09.20_S2

Question

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 $\mathrm{x}_1$ and in the other, $\mathrm{x}_2$. 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

Select the correct option:

$\operatorname{gdS}\left(x_2+x_1\right)^2$

$\frac{1}{4} g d S\left(x_2-x_1\right)^2$

$\frac{3}{4} g d S\left(x_2-x_1\right)^2$

$\operatorname{gdS}\left(x_2^2+x_1^2\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution