A medical cyclotron used in the production of medical isotopes accelerates protons to \(6.5 \mathrm{MeV}\). The magnetic field in the cyclotron is \(1.2 \mathrm{~T}\).

a. What is the diameter of the largest orbit, just before the protons exit the cyclotron?

b. A proton exits the cyclotron \(1.0 \mathrm{~ms}\) after starting its spiral trajectory in the center of the cyclotron. How many orbits does the proton complete during this \(1.0 \mathrm{~ms}\) ?