A ring of radius R is carrying uniformly distributed charge +Q. A test charge -qo is placed on its axis at a distance 2 R from the centre and released. The motion of the particle on the axis will be:

Question

A ring of radius R is carrying uniformly distributed charge +Q. A test charge -qo is placed on its axis at a distance 2 R from the centre and released. The motion of the particle on the axis will be: (A) Periodic (B) Non-periodic (C) Simple Harmonic (D) Random

Tardigrade Admin · Accepted Answer

Motion is simple harmonic only when the test charge is placed very very near to the centre. Otherwise it is only periodic due to symmetry on the two sides of the ring.

Q. A ring of radius R is carrying uniformly distributed charge +Q. A test charge −qo​ is placed on its axis at a distance 2R from the centre and released. The motion of the particle on the axis will be:

Periodic

Non-periodic

Simple Harmonic

Random

Motion is simple harmonic only when the test charge is placed very very near to the centre. Otherwise it is only periodic due to symmetry on the two sides of the ring.

Q. A ring of radius $R$ is carrying uniformly distributed charge $+ Q$ . A test charge $- q_{o}$ is placed on its axis at a distance $2 R$ from the centre and released. The motion of the particle on the axis will be: