8-1 A charged particle of mass m and charge q moves in a uniform magnetic induction field Bo. Show that the most general motion of the particle traces out a helix, the cross section of which is a circle of radius R = mv /qB. (Here v, is the component of velocity of the particle which is perpendicular to Bo.) 8-2 The Hamiltonian for a chom 8-18 According to Problem 8-1, the orbit of a charged particle (q, m) in a plane perpendicular to the magnetic field B, is a circle of radius R = mv,/qBo. Determine the periods of revolution of both an electron and a proton in a magnetic field of 0.5 T. (The masses of the electron and proton are 0.9110 x 10 30 'kg and 1.6726 x 10 27 kg, respectively.)