Consider acceleration of a uniform circular motion:
α = v2/r = F/m
α = |q|vB/m
The speed and the magnetic field are the same for both ions.
The radius must be directly proportional to the mass.
In one type of mass spectrometer, ions having the same velocity move through a uniform magnetic field. The spectrometer is being used to distinguish 12 C+ and 14 C+ ions that have the same charge. The 12 C+ ions move in a circle of diameter 25 cm.
a. What is the diameter of the orbit of 14C+ ions?
b. What is the ratio of the frequencies of revolution for the two types of ions?
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