A cyclotron is used to accelerate triply-charged ions of mass M M\,M and charge +3e+3e+3e in a region of uniform magnetic flux density BBB.
To maintain resonance and continuously accelerate the ions across the gap between the dees, an alternating potential difference of frequency f f\,f is applied.
What is the required frequency f f\,f of this alternating potential difference?
3eB2πM\frac{3eB}{2\pi M}2πM3eB
2πM3eB\frac{2\pi M}{3eB}3eB2πM
3eBπM\frac{3eB}{\pi M}πM3eB
3eM2πB\frac{3eM}{2\pi B}2πB3eM