A cyclotron with dee radius $82\mathrm{.}2$ cm is operated at an oscillator frequency of $14\mathrm{.}4$ MHz to accelerate protons. $($a$)$ What magnitude B of magnetic field is required to achieve resonance? $($b$)$ At that field magnitude, what is the kinetic energy of a proton emerging from the cyclotron? Suppose, instead, that B $-1\mathrm{.}86$ T$.($c$)$ What oscillator frequency is required to achieve resonance now? $($d$)$ At that frequency, what is the kinetic energy of an emerging proton?