Consider two points $1$ and $2$ in a region outside a charged sphere. Two points are not very far away from the sphere. If $E$ and $V$ represent the electric field vector and the electric potential, which of the following is not possible
$|{\overrightarrow E _1}|\, = \,|{\overrightarrow E _2}|,\;{V_1} = {V_2}$
${\overrightarrow E _1} \ne {\overrightarrow E _2},\;{V_1} \ne {V_2}$
${\overrightarrow E _1} \ne {\overrightarrow E _2},\;{V_1} = {V_2}$
$|{\overrightarrow E _1}|\, = \,|{\overrightarrow E _2}|,\;{V_1} \ne {V_2}$
Two metal spheres of radii ${R_1}$ and ${R_2}$ are charged to the same potential. The ratio of charges on the spheres is
A thin spherical insulating shell of radius $R$ carries a uniformly distributed charge such that the potential at its surface is $V _0$. A hole with a small area $\alpha 4 \pi R ^2(\alpha<<1)$ is made on the shell without affecting the rest of the shell. Which one of the following statements is correct?
A non uniformly shaped conductor is charged then at it's sharpest point
Two identical metal balls of radius $r$ are at a distance $a (a >> r)$ from each other and are charged, one with potential $V_1$ and other with potential $V_2$. The charges $q_1$ and $q_2$ on these balls in $CGS$ esu are
In a region, if electric field is defined as $\vec E = \left( {\hat i + 2\hat j + \hat k} \right)\,V/m$ , then the potential difference between two points $A (0, 0, 0)$ and $B (2, 3, 4)$ in that region, is ......$V$