Two identical cylindrical vessels are kept on the ground and each contain the same liquid density d. The area of the base of vessels is x1 and in other x2. When both the 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:
Option: 1 gdS\left ( x_{2}^{2}+x_{1}^{2} \right )
Option: 2 gdS\left ( x_{2}+x_{1} \right )^{2}
Option: 3 \frac{3}{4}gdS\left ( x_{2}-x_{1} \right )^{2}
Option: 4 \frac{1}{4}gdS\left ( x_{2}-x_{1} \right )^{2}

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