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A positive charge Q is uniformly distrub...

A positive charge `Q` is uniformly distrubuted along a circular ring of radius `R`.a small test chage `q` is placed at the centre of the ring .The

A

if `q gt0` and is displaced away from the centre in the plane of the ring.it will be pushed back towards the centre.

B

if `q lt 0` and is displaced away from the cnetre 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 lt 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 lt0`

Text Solution

Verified by Experts

The correct Answer is:
A,B,C,D
At the centre of ring `E=0` when a positive charge `(q gt 0)` is displaced away form the centre in the plane of the ring ,say to the right.force of repulsion on `q` due to charge on right half increases and due to charge on left decreases ,.therfore charge `q` is pushed back towards the centre, When charge `q` is negative `(q gt 0)` force is of attactive nature.There fore charge `q` displaced to the right A long the axis of the ring .at a distance `r` from the centre `E=(Qr)/(4piepsilon_(0)(r^(2)+a^(2))^(3//2)`
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