An ion with a mass m and a magnitude of charge of 1e is initially at rest when it is accelerated by a potential difference of magnitude AV. After exiting the accelerating potential, it enters a region with a uniform magnetic field perpendicular to the ion's velocity. The ion moves in a semicircle of radius R. Next, an ion with a mass m' and a magnitude of charge of 5e is accelerated by the same potential difference and deflected by the same magnetic field. The radius of its semicircular path is R = 2R. Find the ratio of the ion masses, m/m.

An ion with a mass m and a magnitude of charge of 1e is initially at rest when it is accelerated by a potential difference of magnitude AV. After exiting the accelerating potential, it enters a region with a uniform magnetic field perpendicular to the ion's velocity. The ion moves in a semicircle of radius R. Next, an ion with a mass m' and a magnitude of charge of 5e is accelerated by the same potential difference and deflected by the same magnetic field. The radius of its semicircular path is R = 2R. Find the ratio of the ion masses, m/m.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter22: Magnetic Forces And Magnetic Fields

Section: Chapter Questions

Problem 80P

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