GP Magnetism

A cyclotron accelerates particles of mass m and change q. The energy of particles emerging is proportional to

  1. q/m2
  2. q2/m
  3. q2/m2
  4. q

Answer

Centripetal force equals the Lorentz force.

mv2/r = qvB

E = ½mv2 = q2B2R2/2m

The correct option is B.