Cyclotron — Prelims Questions

A cyclotron is used to accelerate protons ($m_p = 1.67 \times 10^{-27}\,\text{kg}$, $q_p = 1.6 \times 10^{-19}\,\text{C}$). The magnetic field strength is $1.2\,\text{T}$ and the maximum radius of the dees is $0.4\,\text{m}$. What is the maximum kinetic energy acquired by the protons?

A cyclotron is designed to accelerate deuterons ($m_d = 3.34 \times 10^{-27}\,\text{kg}$, $q_d = 1.6 \times 10^{-19}\,\text{C}$). If the magnetic field strength is $1.0\,\text{T}$, what should be the frequency of the oscillating electric field for resonance?

Which of the following statements about a conventional cyclotron is INCORRECT?

If the magnetic field strength in a cyclotron is doubled, how will the maximum kinetic energy of the accelerated particles change, assuming all other parameters (charge, mass, maximum radius) remain constant?

A cyclotron is accelerating alpha particles ($q_{\alpha} = 2e$, $m_{\alpha} = 4m_p$). If the cyclotron frequency for protons is $f_p$, what will be the cyclotron frequency for alpha particles in the same magnetic field?

Why are electrons generally not accelerated in conventional cyclotrons?