Question

A cyclotron is accelerating the proton.The applied magnetic field is 2T and the potential difference in the gap is 100kV. To acquire a kinetic energy of 20 MeV the proton has to move between the dees for x times.the value of x is?

Answer 1

200

Explanation:

Each time the proton moves between the dees it acquires an additional 100 keV of energy. To acquire 20 MeV, it must move between the dees a total of 20MeV / 100 keV = 200 times

Note that the magnetic field is a zero work force and hence does not speed up the particle. Its role is to bend the particle tracks into circles so that they can repeatedly cross from one dee to another.