A cyclotron operates with a given magnetic field and at a given frequency.If R denotes the radius of the final orbit, the final particle energy is proportional to: A)1/R B)R C)R² D)R³ E)R⁴

Question

Quizplus · Accepted Answer

The final particle energy in a cyclotron is proportional to the square of the radius of the final orbit, as the kinetic energy is given by $E = \frac{1}{2}mv^2$ and the velocity $v$ is proportional to the radius $R$ in a magnetic field.

A Cyclotron Operates with a Given Magnetic Field and at a Given