A cyclotron accelerates protons (mass

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Magnetism and Electromagnetism · Magnetism and Electromagnetism

Problem

1.67\times10^{-27}\,\text{kg}

, charge

1.6\times10^{-19}\,\text{C}

) in a magnetic field of

1.5\,\text{T}

. The maximum orbital radius reached is

0.45\,\text{m}

. Each time a proton crosses the gap between the two dees, it gains

100\,\text{kV}

of energy. Approximately how many complete revolutions does a proton make before it leaves the cyclotron? (a)

164

(b)

109

(c)

55

(d)

218