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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 (Fig. 1.7). 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.
 

Answers (1)

Explanation: As the positive charge is uniformly distributed over the ring, the charge at the centre will be zero. So, no force is exerted on the charge at the centre. If the charge is pushed away from the centre, it will experience a force pushing back towards the centre, and if the charge is negative, then it will experience a force towards the ring circumference. Also, the negative charge will be in an unstable equilibrium. So, options a, b, and d are correct.

Answer: The correct answers are the options (a, b, d)

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