A capacitor of capacitance \(20 \mu \mathrm{F}\) is charged by a battery of potential \(24.3 \mathrm{~V}\). The capacitor is then disconnected from the battery and is connected to another uncharged capacitor of capacitance \(10 \mu \mathrm{F}\). After some time, the second capacitor is disconnected, discharged fully and is again connected to the first capacitor. If the process is repeated several times, the charge on the first capacitor at the end of the fifth process is ____ \(\mu \mathrm{C}\).

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.