The electric field due to an electric dipole at a distance $r$ from its centre in the axial position is $E$. If the dipole is rotated through an angle of $90^{\circ}$ about its perpendicular axis,the electric field at the same point will be

If $E_{a}$ and $E_{q}$ represent the electric field intensity due to a short dipole at a point on its axial line and on the equatorial line at the same distance $r$ from the centre of the dipole,then

Two electric dipoles of moments $p$ and $27 p$ are placed in opposite directions on a line at a distance of $24 \,cm$. The electric field will be zero at a point between the dipoles whose distance from the dipole of moment $p$ is

Two electric dipoles of moment $P$ and $8P$ are placed in opposite directions on a line at a distance of $24 \text{ cm}$. The electric field will be zero at a point between the dipoles whose distance from the dipole of moment $P$ is $x_1$. When $8P$ is replaced by $27P$ keeping all other quantities the same, the distance $x_1$ becomes $x_2$. The difference $|x_2 - x_1|$ is (All distances are measured from the centers of the dipoles.) (in $\text{ cm}$)

Two ideal electric dipoles $A$ and $B$ having dipole moments $p_{1}$ and $p_{2}$ respectively are placed on a plane with their centers at $O$ as shown in the figure. At point $C$ on the axis of dipole $A$,the resultant electric field makes an angle of $37^{\circ}$ with the axis. The ratio of the dipole moments of $A$ and $B$,$\frac{p_{1}}{p_{2}}$ is $....$ (take $\sin 37^{\circ}=\frac{3}{5}$)

What is a point dipole?