Two identical charged spherical drops each of capacitance $C$ merge to form a single drop. The resultant capacitance
equal to $2C$
greater than $2C$
less than $2C$ but greater than $C$
less than $C$
Two similar tiny balls of mass $m$, each carrying charge $q$ are hung from silk thread of length $l$ as shown in Fig. These are separated by a distance $x$ and angle $2 \theta \sim 10$. Then for equilibrium :-
The plates of a parallel plate capacitor are charged up to $100\,volt$. A $2\,mm$ thick plate is inserted between the plates, then to maintain the same potential difference, the distance between the capacitor plates is increased by $1.6\,mm$. The dielectric constant of the plate is
A charge $Q$ is distributed over two concentric conducting thin spherical shells radii $r$ and $R$ $( R > r ) .$ If the surface charge densities on the two shells are equal, the electric potential at the common centre is
A point charge $+Q$ is positioned at the centren of the base of a square pyramid as shown. The flux through one of the four identical upper faces of the pyramid is
The equivalent capacitance between $A$ and $B$ is (in $\mu\, F$)