In the figure given below, 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 \(q_1\):
1. | shall increase along the positive \(x\)-axis. |
2. | shall decrease along the positive \(x\)-axis. |
3. | shall point along the negative \(x\)-axis. |
4. | shall increase but the direction changes because of the intersection of \(Q\) with \(q_2\) and \(q_3\). |
(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 \(q>0\). |