Home
Class 12
PHYSICS
A charged particle of mass m and charge ...

A charged particle of mass m and charge `q` describes circular motion of radius `r` in a uniform magnetic field of strength `B`. The frequency of revolution is

A

`( 3 Bq)/(2pi m)`

B

`(3Bq)/(2pim)`

C

`(2pim)/(3 Bq)`

D

`(Bq)/(2pi m )`

Text Solution

Verified by Experts

The correct Answer is:
D
Force on charge = e vB =e `Romega . B `
Centripetal force ` = mRomega^(2) , omega = 2 pi f`
where , t = frequency
`mRomega^(2) = e R omega B`
`rArr " " mR omega = eRB rArr m omega = eB`
`m. (2 pi f ) = eB rArr r = (eB)/(2 pi m) = (Bq)/(2 pi m)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A charged particle of mass m and charge q describes circular motion of radius r in a unifrom magnetic fiels of strenght b the frequency of revolution is

A charged particle of charge q and mass m is shot into a uniform magnetic field of induction B at an angle theta with the field. The frequency of revolution of the particle

Force on charge due to Magnetic field | Circular motion of charge in uniform magnetic field

A charged particle of mass m and charge q travels on a circular path of radius r that is perpendicular to a magnetic field B . The time takeen by the particle to complete one revolution is

Motion of a charged particle in a uniform magnetic field |Questions

A small particle of mass m = 1 kg and charge of 1C enters perpendicularly in a triangular region of uniform magnetic field of strength 2T as shown in figure : In the previous question find the change in angular momentum of particle w.r.t centre of its circular path during its motion in magnetic field :

Time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of

Question based on Force on charge due to Magnetic field | Circular motion of charge in uniform magnetic field