Q.

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
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a

q at the centre of the ring is in an unstable equilibrium within the plane of the  ring  for a>0

b

If q<0, it will perform SHM for small displacement along the axis

c

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

d

If q>0 and is displaced away from the centre in the plane of the ring, it will be  pushed back towards the centre

answer is A, B, C.

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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 then