Bainbridges mass spectrometer, shown in Fig. 28-54,

Problem 76

Bainbridge’s mass spectrometer, shown in figure, separates ions having the same velocity. The ions, after entering through slits, S1 and S2, pass through a velocity sector composed of an electric field produced by the charged plates P and P’, and a magnetic field  perpendicular to the electric field and the ion path. The ions that then passed un-deviated through the crossed  and  fields enter into a region where a second magnetic field exists, where they are made to follow circular paths. A photographic plate (or a modern detector) registers their arrival. Show that, for the ions  where r is the radius of circular orbit.

                                                        Step by Step Solution

Step 1 of 2

The diagram of the spectrometer is shown as,

The electric field acting on ions is given as,

The magnetic field acting on ions is given as,