MHT CET202617 April 2026Evening ShiftPhysicsMagnetic Effects of CurrentActual
In the cyclotron, as radius of the circular path of the charged particle increases, ( = angular velocity, V = linear velocity)
Options
- AV increases , decreases.
- BV increases , remains constant.
- Conly increases , V remains constant.
- Dboth and V increase.
Correct answer
B. V increases , remains constant.
Step-by-step solution
The centripetal force required for circular motion is provided by the magnetic force. m V^2 r = q V B V = q B r m Since q , B , and m are constant, V r . Thus, as the radius r increases, the linear velocity V increases. The angular velocity is given by: = V r = q B m Since q , B , and m are constant, remains constant. Answer: V increases , remains constant.