A cyclotron of radius 0.25 m accelerates protons in a 1.7-T magnetic field. What is the frequency for the applied alternating voltage?
A)0.26 MHz
B)2.6 MHz
C)26 MHz
D)260 MHz
E)2600 MHz

Question

Quizplus · Accepted Answer

The cyclotron frequency is given by the formula f = (qB)/(2πm), where q is the charge of the proton, B is the magnetic field, and m is the mass of the proton. Substituting the known values (q = 1.6 x 10^-19 C, B = 1.7 T, m = 1.67 x 10^-27 kg), we find f ≈ 26 MHz.

A Cyclotron of Radius 0