A positive charge \(Q\) is uniformly distributed along a circular ring of radius \(R\). A small test charge \(q\) is placed at the centre of the ring. Then,

(a)	if \(q>0\) and is displaced away from the centre in the plane of the ring, it will be pushed back towards the centre.
(b)	if \(q<0\) and is displaced away from the centre in the plane of the ring, it will never return to the centre and will continue moving till it hits the ring.
(c)	if \(q<0\), it will perform SHM for small displacement along the axis.
(d)	q at the centre of the ring is in an unstable equilibrium within the plane of the ring for \(q>0\).

Choose the correct statement(s):
1. (a), (b), (c)
2. (a), (c), (d)
3. (b), (c), (d)
4. (c), (d)

Refer to the arrangement of charges in the figure and a Gaussian surface of radius \(R\) with \(Q\) at the centre. Then:

Choose the correct statement(s): 

Which of the above statements are true?
1. (b) and (d)
2. (a) and (c)
3. (b) and (c)
4. (c) and (d)

In the figure, two positive charges \(q_2\) and \(q_3\) fixed along the \(y\)-axis, exert a net electric force in the \(+x\text-\)direction on a charge \(q_1\) fixed along the \(x\)-axis. If a positive charge \(Q\) is added at \((x, 0),\) the force on \(q_1\):

A point positive charge is brought near an isolated conducting sphere (figure). The electric field is best given by:

1.		2.
3.		4.

The electric flux through the surface:

Five charges \(q_1, q_2, q_3, q_4~\text{and}~q_5\) are fixed at their positions as shown in the figure, \(S\) is a Gaussian surface. The Gauss' law is given by \(\int_{S}E\cdot dS= \frac{q}{\varepsilon_0}\). Which of the following statements is correct?

The figure shows electric field lines in which an electric dipole \(p\) is placed as shown. Which of the following statements is correct?
                         

A point charge \(+q\) is placed at a distance \(d\) from an isolated conducting plane. The field at a point \(P\) on the other side of the plane is: