Solved: Bainbridge'S mass spectrometer, shown in Fig.

Chapter , Problem 76

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Bainbridge'S mass spectrometer, shown in Fig. 28-53, separates ions having the same velocity. The ions, after entering through slits, Sl and S2, pass through a velocity selector composed of an electric field produced by the charged plates P and P', and a magnetic field B perpendicular to the electric field and the ion path. The ions that then pass undeviated through the crossed E and B fields enter into a region where a second magnetic field B' exists, where they are made to follow circular paths. A photographic plate (or a modern detector) registers their arrival. Show that, for the ions, qlm = ElrBB', where r is the radius of the circular orbit.

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