A cyclotron is used to produce a beam of high-energy deuterons that then collide with a target to produce radioactive\(\mathbb{N T}\) isotopes for a medical procedure. Deuterons are nuclei of deuterium, an isotope of hydrogen, consisting of one neutron and one proton, with total mass \(3.34 \times 10^{-27} \mathrm{~kg}\). The deuterons exit the cyclotron with a kinetic energy of \(5.00 \mathrm{MeV}\).

a. What is the speed of the deuterons when they exit?

b. If the magnetic field inside the cyclotron is \(1.25 \mathrm{~T}\), what is the diameter of the deuterons' largest orbit, just before they exit?

c. If the beam current is \(400 \mu \mathrm{A}\), how many deuterons strike the target each second?