A mass spectrometer,sketched below, is a device used to separate different ions.

Question

A mass spectrometer,sketched below, is a device used to separate different ions. Suchions with a well - defined velocity vo enter through aslit into a region of uniform magnetic field B, where they follow asemicircular path until they strike the detector slit above theentry slit. The distance between the entry and the detector slitsis d = 1.40 m. Chlorine ions of mass 35 amu (1 amu equals1.6610^ - 27 kg), carrying a charge of+1e enter the spectrometer with initial speed ofvo = 6.8010^5 m/s. a - What value of B is required for these ions to hit thedetector? Equally charged chlorine ions of mass 37 amunow enter the spectrometer. b - How close to the detector slit will they impact?

Explanation / Answer

The centripetal force is equal to the magnetic force of theapplied

     B q V = mV^2 /R

The magnetic field applied is

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