Two capacitors having capacitance \( C_1 \) and \( C_2 \) respectively are connected as shown in figure. Initially, capacitor \( C_1 \) is charged to a potential difference \( V \) volt by a battery. The battery is then removed and the charged capacitor \( C_1 \) is now connected to uncharged capacitor \( C_2 \) by closing the switch \( S \). The amount of charge on the capacitor \( C_2 \), after equilibrium, is:
