A particle of charge q and rest mass m is moving with velocity v where the magnetic field is B. Here B is perpendicular to v, and there is no electric field. Show that the path of the particle is a curve with radius of curvature R given by R = pc/qB, where p is the momentum of the particle, ffymc. (Hint: Note that the force qy X B/c can only change the direction of the particle's momentum, not its magnitude. By what angle A0 is the direction of p changed in a short time Atl) If B is the same everywhere the particle will follow a circular path. Find the time required to complete one revolution.