Physics Question from JEE Main 2023 · 30 January, Shift 1

A capacitor of capacitance $900 \, \mu \text{F}$ is charged by a $100 \, \text{V}$ battery. The capacitor is disconnected from the battery and connected to another uncharged identical capacitor such that one plate of the uncharged capacitor is connected to the positive plate and another plate of the uncharged capacitor is connected to the negative plate of the charged capacitor. The loss of energy in this process is measured as $x \times 10^{-2} \, \text{J}$. The value of $x$ is: