A singly charged ion of mass m is accelerated from rest by a potential difference AV. It is then deflected by a uniform magnetic field (perpendicular to the ion's velocity) into a semicircle of radius R. Now a doubly charged ion of mass m' is accelerated through the same potential difference and deflected by the same magnetic field into a semicircle of radius R' = 2R. What is the ratio of the masses of the ions? %3D

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Chapter1: Units, Trigonometry. And Vectors
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23. A singly charged ion of mass m is accelerated from rest
by a potential difference AV. It is then deflected by a
uniform magnetic field (perpendicular to the ion's
velocity) into a semicircle of radius R. Now a doubly
charged ion of mass m' is accelerated through the
same potential difference and deflected by the same
magnetic field into a semicircle of radius R' = 2R.
What is the ratio of the masses of the ions?
Transcribed Image Text:23. A singly charged ion of mass m is accelerated from rest by a potential difference AV. It is then deflected by a uniform magnetic field (perpendicular to the ion's velocity) into a semicircle of radius R. Now a doubly charged ion of mass m' is accelerated through the same potential difference and deflected by the same magnetic field into a semicircle of radius R' = 2R. What is the ratio of the masses of the ions?
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