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 4e is accelerated by the same potential difference and deflected by the same magnetic field. The radius of its semicircular path is R' = 3R. Find the ratio of the ion masses, m'/m. m'/m=9 x Note that mass should depend on the charge. Did you neglect to include the factor of the new charge when finding the ratio?

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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 4e is accelerated by the same potential difference and deflected by the same magnetic field. The radius of its semicircular path is R' = 3R. Find the ratio
of the ion masses, m'/m.
Need Help? Read It
m'/m = 9
X
Note that mass should depend on the charge. Did you neglect to include the factor of the new charge when finding the ratio?
Transcribed Image Text:•+/ tom micicire" 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 4e is accelerated by the same potential difference and deflected by the same magnetic field. The radius of its semicircular path is R' = 3R. Find the ratio of the ion masses, m'/m. Need Help? Read It m'/m = 9 X Note that mass should depend on the charge. Did you neglect to include the factor of the new charge when finding the ratio?
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