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.

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Chapter1: Units, Trigonometry. And Vectors
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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.
m'/m =
Transcribed Image Text: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. m'/m =
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