A cyclotron is designed with a magnet that produces 1.2 T. When refurbished, the magnet is replaced by one that produces 1.5 T. How does the kinetic energy developed by the protons change compared to the previous energy developed?
A)It increases by 25%.
B)It decreases by 25%.
C)It increases by 56%.
D)It decreases by 56%.
E)It does not change.

Question

Quizplus · Accepted Answer

The kinetic energy of a charged particle in a cyclotron is proportional to the square of the magnetic field. Therefore, when the magnetic field is increased from 1.2 T to 1.5 T, the kinetic energy will increase by a factor of (1.5/1.2)^2 = 1.56, or 56%.

A Cyclotron Is Designed with a Magnet That Produces 1