For a short electric dipole, how does the electric field vary with distance \(r\) at a point on its axial line when \(r\gg\) length of the dipole?
 1. \( \dfrac{1}{r}\)
2. \( \dfrac{1}{r^3}\)
3. \( \dfrac{1}{r^2}\)
4. \(r\)

A dipole with moment \(\vec p\) is placed in a uniform electric field \(\vec E\). The torque acting on the dipole is given by:
1. \(\vec{\tau }=\vec{p}\cdot \vec{E}\)
2. \(\vec{\tau }=\vec{p} \times \vec{E}\)
3. \(\vec{\tau }=\vec{p}+ \vec{E}\)
4. \(\vec{\tau }=\vec{p}- \vec{E} \)

A point \(Q\) lies on the perpendicular bisector of an electric dipole of dipole moment \(p.\) If the distance of \(Q\) from the dipole is \(r\) (much larger than the size of the dipole), then the electric field at \(Q\) is proportional to:
1. \(p^{2}\) and \(r^{-3}\)
2. \(p\) and \(r^{-2}\)
3. \(p^{-1}\) and \(r^{-2}\)
4. \(p\) and \(r^{-3}\)

If \(\vec{E}_{a x}\) and \(\vec{E}_{e q}\) represents an electric field at a point on the axial and equatorial line of a dipole. If points are at a distance \(r\) from the centre of the dipole, for \((r \gg a)\)

The unit \(\text{C.m}\) (coulomb–metre) corresponds to which of the following physical quantities?

1.  Electric flux

2.  Electric potential

3.  Electric dipole moment

4.  Electric field intensity