Question

Does the angular frequency of particle depend on its momentum in cyclotron ? Yes or No ?

Answer 1

Answer:

yes..i think so........

Answer 2

Answer:

Angular frequency of particles does not depend on the momentum.

Explanation:

Since we know that when charge particle is accelerated in the cyclotron,in the presence of magnetic field it experience a Lorentz force as well as centripetal force.

$F_{lorentz} =F_{centripetal}$

$qvB = \dfrac{mv^{2} }{r}$................................(1)

we know that

$\omega =\dfrac{v}{r}$...................................(2)

from (1) and (2) we get,

$\omega = \frac{qB}{m}$

So, from the above relation it is shown that the angular frequency of particles does not depend on the momentum.