A ring of radius $R$ carries a uniformly distributed charge $+ Q$ . A point charge $- q$ is placed on the axis of the ring at a distance $2 R$ from the centre of the ring and released from rest. The particle executes a simple harmonic motion along the axis of the ring.

True

No worries! We‘ve got your back. Try BYJU‘S free classes today!

False

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is B False
Sine component of the force cancels out in pairs due to opposite particles in the ring.
So, cosine component of force dominates and the net force is in $- x$ direction when $- q$ charged particle is $+ x$ direction and vice versa.
And there is symmetry in the electric force on the charge particle placed on the axis of ring due to charged ring. So charge particle will oscillate between $+ 2 R$ and $- 2 R$ about the centre of the ring.

Suggest Corrections

Similar questions

Q. A ring of radius

(R)

carries a uniformly distributed charge

+ Q

. A point charge

- q

is placed on the axis of the ring at a distance

2 R

from the centre of the ring and released from rest. The particle

Q. Which statement is true:
(i) A ring of radius

R

carries a uniformly distributed charge

+ Q

. A point charge

- q

is placed on the axis of the ring at a distance

2 R

from the centre of the ring and released from rest. The particle execute a simple harmonic motion along the axis of the ring.
(ii) Electrons move from a region of higher potential to that of lower potential.

Q. A ring of radius R carries a uniformly distributed charge

+ Q

. A point charge q is placed on the axis of the ring and released from rest. The force experienced by the particle varies with distance from the centre as

Q. A ring of radius R is carrying uniformly distributed charge

+

Q. A test charge

- q_{0}

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 ring of radius 100 cm has a uniformly distributed charge Q and uniformly distributed mass m. On the axis a point charge –Q of mass 2m is placed at a distance 3 cm form its centre. Both are released from rest. Assuming only electric interaction between the ring and particle, find the amplitude (in cm) of SHM of particle.___

Join BYJU'S Learning Program

A ring of radius R carries a uniformly distributed charge +Q. A point charge −q is placed on the axis of the ring at a distance 2R from the centre of the ring and released from rest. The particle executes a simple harmonic motion along the axis of the ring.

A ring of radius $R$ carries a uniformly distributed charge $+ Q$ . A point charge $- q$ is placed on the axis of the ring at a distance $2 R$ from the centre of the ring and released from rest. The particle executes a simple harmonic motion along the axis of the ring.