A cyclotron accelerates particles of mass m and change q

• 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.