A molecule of a substance has a permanent electric dipole moment of magnitude $10^{-29} \mathrm{~cm}.$ 2 mole of this substance is polarized (at low temperature) by applying a strong electrostatic field of magnitude $10^6 \mathrm{~Vm}^{-1}.$ What should be potential energy of its?

[1 mole of the substance contains $6 imes 10^{23}$ molecules]

Four identical charges 'q' are placed at the corners of a square of side 'a'. What is the potential energy of the system?

In free space, a particle $A$ of charge $1\mu C$ is held fixed at a point $P$. Another particle B of the same charge and mass $4\mu g$ is kept at a distance of 1 mm from P. If B is released, then its velocity at a distance of 9 mm from P is $\left[ {{\rm{Take, }}\frac{1}{{4\pi {\varepsilon _0}}} = 9 imes {{10}^9}N - {m^2}{C^{ - 2}}} \right]$

An electric charge $10^{-6} \mu \mathrm{C}$ is placed at origin $(0,0)$ m of X-Y co-ordinate system. Two points $P$ and $Q$ are situated at $(\sqrt{3}, \sqrt{3}) \mathrm{m}$ and $(\sqrt{6}, 0) \mathrm{m}$ respectively. The potential difference between the points $P$ and $Q$ will be:

Assertion: Surface of a symmetrical conductor can be treated as equipotential surface. Reason: Charges can easily flow in a conductor.

A point charge $+Q$ is held at rest at a point $P.$ Another point charge $-{q},$ whose mass is ${m},$ moves at a constant velocity $v$ in a circular orbit or radius $R_1,$ around $P.$ The work required to increase the radius of revolution of $-q$ from $R_1,$ to another orbit $R_2$ is $\left(R_2>R_1\right)$

Choose the wrong statement about

equipotential surfaces.

On moving a charge of 20 C by 2 cm, 2 J of

work is done, then the potential difference

between the points is

Twenty seven identical drops of mercury are charged simultaneously to the same potential of 10 units. Assuming the drops are made to combine to form one large drop, then its potential is

A uniformly charge solid sphere of radius R has potential ${V_0}$ (measured with respect to $\infty )$ on its surface. For this sphere, the equipotential surfaces with potentials $\frac{{3{V_0}}}{2},\frac{{5{V_0}}}{4},\frac{{3{V_0}}}{4}\,\,\,\,{\rm{and}}\,\,\,\,\frac{{{V_0}}}{4}$ have radius ${R_1},{R_2},{R_3}\,\,{\rm{and}}\,\,\,{R_4}$ respectively. Then,

Two points P and Q are maintained at the potential of 10 V and - 4 V, respectively. The work done in moving 100 electrons from P to Q is