Total charge – Q is uniformly spread along length of a ring of radius R.A small test charge + q of mass m is kept at the centre of the ring and is given a gentle push along the axis of the ring.

Q: Total charge – Q is uniformly spread along length of a ring of radius R.A small test charge + q of mass m is kept at the centre of the ring and is given a gentle push along the axis of the ring.

(a) Show that the particle executes simple harmonic oscillation.

(b) Obtain its time period.