In my book it is shown that the frequency of revolution of the charged particle in a magnetic field is independent of its energy.
Now I understand that why if a particle is in a magnetic field then the frequency of revolution of charged particle is independent of the energy of the particle.
Now my question is that why it is important in order to build a cyclotron.
What happens if the frequency depends upon the energy of the particle? Is it not possible to build the cyclotron in this case?