An electric dipole is kept in a non-uniform electric field. It generally experiences:

An electric dipole having each charge of magnitude $2 \mu C$ is placed in an electric field of intensity $8 \times 10^{4} \ N/C$. If the maximum torque acting on the dipole is $4 \times 10^{-3} \ N \cdot m$,the length of the dipole is: (in $mm$)

Two charges $\pm 10\; \mu C$ are placed $5.0\; mm$ apart. Determine the electric field at $(a)$ a point $P$ on the axis of the dipole $15\; cm$ away from its centre $O$ on the side of the positive charge,as shown in Figure $(a),$ and $(b)$ a point $Q, 15\; cm$ away from $O$ on a line passing through $O$ and normal to the axis of the dipole,as shown in Figure.

An electric dipole is situated in an electric field of uniform intensity $E$ whose dipole moment is $p$ and moment of inertia is $I$. If the dipole is displaced slightly from the equilibrium position,then the angular frequency of its oscillations is

Explain the force acting on an electric dipole when it is placed parallel or anti-parallel to a non-uniform electric field.

An electric dipole of length $0.5 \text{ }\mu\text{m}$ is placed with its axis making an angle of $30^{\circ}$ with a uniform electric field of $10^4 \text{ V/m}$. If it experiences a torque of $5 \times 10^{-9} \text{ Nm}$, the magnitude of the charge on the dipole is (given $\sin 30^{\circ} = 0.5$). (in $\text{ }\mu\text{C}$)