Question

18. Deduce an expression for the period of revolution of charged particle in cyclotron and show that
it does not depend on the speed of the charged particle.
Can any genius give a solution to this question?​

Answer 1

Explanation:

Magnetic force on charged particle in magnetic field is give by:

F=qvB

This is equal to the centripetal force acting on the particle.

F=

r

mv

2

=qvB

r

v

=

m

qB

Frequency is given by:

f=

2πr

v

=

2πm

qB

Hence, frequency is independent of velocity of the particle.