When a lamp is connected in series with capacitor, then

Four capacitors of capacitance $10\,mF$ and a battery of $200\,V$ are arranged as shown. How much charge will flow through $AB$ after the switch $S$ is closed …..$\mu C$

The radius of a metallic sphere if its capacitance is $1/9\,F$, is

A particle of charge $Q$ and mass $M$ moves in a circular path of radius $R$ in a uniform magnetic field of magnitude $B$. The same particle now moves with the same speed in a circular path of same radius $R$ in the space between the cylindrical electrodes of the cylindrical capacitor. The radius of the inner electrode is $R/2$ while that of the outer electrode is $ 3R/2.$ Then the potential difference between the capacitor electrodes must be

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