We have three identical metallic spheres $A, B$ and $C$. $A$ is given a charge $Q$, and $B$ and $C$ are uncharged. The following processes of touching of two spheres are carried out in succession. Each process is carried out with sufficient time.
$(i)$ $A$ and $B$ $(ii)$ $B$ and $C$
$(iii)$ $C$ and $A$ $(iv)$ $A$ and $B$
$(v)$ $B$ and $C$
The final charges on the spheres are
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In the circuit shown in the figure, the total charge in $750\, \mu C$ and the voltage across capacitor $C _{2}$ is $20\, V$. Then the charge on capacitor $C _{2}$ is$....\mu C$
A capacitor of capacity ${C_1}$ is charged to the potential of ${V_o}$. On disconnecting with the battery, it is connected with a capacitor of capacity ${C_2}$ as shown in the adjoining figure. The ratio of energies before and after the connection of switch $S$ will be
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