The figure shows the potential due to two similarly charged infinite sheets with charge per unit area ${\sigma }_2$ and ${\sigma }_1$. From examining this plot we can deduce that

Find the ratio of electric work done in bringing a charge $q$ from $A$ to $B$ $\left(W_{AB}\right)$ and then from $B$ to $C\left(W_{BC}\right)$ in a sphere of charge $Q$ distributed uniformly throughout its volume. $\left(\frac{W_{AB}}{W_{BC}}=?\right)$

An electron travelling in a uniform electric field passes from a region of potential $V_1$ to a region of higher potential $V_2$. Then

A conducting sphere of radius $R$ and a concentric thick spherical shell of inner radius $2R$ and outer radius $3R$ is shown in the figure. A charge $+10Q$ is given to the shell and the inner sphere is earthed. Then charge on the inner sphere is:

In an electric field shown in the figure, three equipotential surfaces are shown. If the function of the electric field is $E=2x^2 \mathrm{V} {\mathrm{m}}^{-1}$ and given that $V_1-V_2=V_2-V_3$, then we have