The figure shows a diagonal symmetric arrangement of capacitors and a battery. Identify the correct statements.

Find the potentials at points $A$ and $B$ in the circuit shown in the figure.

$A$ particle of mass $0.2 \ gm$ and charge $1 \ \mu C$ is held at a distance of $1 \ m$ from a fixed charge of $1 \ \mu C$. If the particle is released,it will be repelled. The speed of the particle when it is at a distance of $10 \ m$ from the fixed charge is $.... \ m/s$.

In the given circuit,what are the electric potentials at points $A$ and $B$?

The charge (in $\mu C$) on any one of the $2\,\mu F$ capacitors and the $1\,\mu F$ capacitor will be given respectively as:

$A$ source of potential difference $V$ is connected to the combination of two identical capacitors as shown in the figure. When key $K$ is closed,the total energy stored across the combination is $E_{1}$. Now key $K$ is opened and a dielectric of dielectric constant $K_{d} = 5$ is introduced between the plates of both capacitors. The total energy stored across the combination is now $E_{2}$. The ratio $E_{1} / E_{2}$ will be: