Problem 2. The isotopes magnesium-24 (mass 24 amu) and magnesium-26 (mass 26 amu) are to be separated using a mass spectrometer in which the magnetic field magnitude is 0.577 T. Both are singly ionized (charge e). What is the minimum value of the potential difference V through which these ions must be accelerated if the separation distance between them on the detector screen must be 2.60 mm? [Hint: we showed in class that the orbital radius of a particle of mass m and charge q in the magnetic region satisfies (q/m)r 2B2 = 2V . Start from here.]
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