Home
Class 12
PHYSICS
In a cyclotron the time required to move...

In a cyclotron the time required to move a charged particle of charge q and mass m in a plane perpendicular to the magnetic field B in a semicircular path is ______ .

A

`t = (mpi)/(Bq)`

B

`t =(Bqv)/(pim)`

C

`t = (B)/(pimq)`

D

` t = pi m Bq`

Text Solution

Verified by Experts

The correct Answer is:
A
`(mv^(2))/(r) = Bqv implies r = (mv)/(Bq)`
The time t required by the icn to complete a semicircle is given by
`t = (pir)/(v)= (pi)/(v)xx(mv)/(Bq)= (pim)/(Bq)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A charged particle is projected at a very high speed perpendicular to a uniform magnetic field . The particle will

If a charged particle goes unaccelerated in a region containing electric and magnetic fields,

The velocity acquired by a charged particle of mass m and charge Q accelerated from rest by a potential of V is

Explain the Motion of a charged particle in a uniform magnetic field.

A charged particle goes undeflected in a region containing electric and magnetic field. It is possible that

A charged particle is moved along a magnetic field line. The magnetic force on the particle is

A positively charged particle projected towards east is deflected towards north by a magnetic field. The field may be

An alpha - particle enters a magnetic field of 1 T with a velocity 10^(6) m/s in a direction perpendicular to the field . The force on alpha - particle is ________ .

The period T of circular motion of a particle of mass m and charge q moving inside a uniform magnetic field of induction B is given by __________ .