Parts a,b,c

(6) [5 points] A mass spectrograph is used to measure the masses of ions, or to separate ions of different masses. Ions with mass m and charge q are accelerated through a potential difference V. They then enter a uniform magnetic field perpendicular to their velocity and are deflected in a semicircular path of radius R. A detector measures where the ions complete the semicircle and from this one learns the radius of curvature R. (a) Make a diagram of the setup to accompany your solution. (b) Derive an equation for measuring the mass of the ion from measurements of B, V, R, and q. (c) What accelerating voltage V is needed so that singly ionized 12C atoms have R = 50.0 cm in a magnetic field of strength 0.150 T