Chlorine ions of mass 35 amu (1 amu equals 1.66x10 -27 kg), carrying a charge of

Question

Chlorine ions of mass 35 amu (1 amu equals 1.66x10-27 kg), carrying a charge of +1e, enter the spectrometer with initial speed of vo = 3.70E5 meters/sec. What value of Bis required for these ions to hit the detector?

A mass spectrometer, sketched below, is a device used to separate different ions. Such ions with a well-defined velocity vo enter through a slit into a region of uniform magnetic field B, where they follow a semicircular path until they strike a detector slit a distance d above the entry slit. The distance between the entry and the detector slits is d = 1.30m. Chlorine ions of mass 35 amu (1 amu equals 1.66 x10^-27 kg), carrying a charge of +1e, enter the spectrometer with initial speed of vo = 3.70E5 meters/sec. What value of Bis required for these ions to hit the detector?

Explanation / Answer

q v B = m v^2 / R        magnetic force = centripetal force
B = m v / (q R)
B = 35 * 1.66 * 10E-27 * 3.7 * 10E5 / (1.6 * 10E-19 * .65) = .20 T

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