A 4 $\mu F$ capacitor is charged by a 200 V battery. It is then disconnected from the supply and is connected to another uncharged $2\; \mu F$ capacitor. During the process, loss of energy (in J) is :

Question

\[\begin {array} {1 1} (a)\;3.43 \times 10^{-2} & \quad (b)\;2.67 \times 10^{-2} \\ (c)\;2.67 \times 10^{-4} & \quad (d)\;3.43 \times 10^{-4} \end {array}\]