(a) Derive an expression for the maximum kinetic energy that an ion of charge and…
PHYSICS · Subjective · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism
Problem
(a) Derive an expression for the maximum kinetic energy Kmax that an ion of charge q and mass m can acquire in a cyclotron of maximum orbital radius R operating with a uniform magnetic field B.
(b) A cyclotron has R=0.40m and operates with B=1.8T. Calculate the maximum kinetic energy, in mega-electron-volts, that it can impart to protons.
(c) Using the same machine and magnetic field, what will be the maximum kinetic energy imparted to α-particles (q=2e,m=4mp)? Comment briefly on the result.