Question: A mass spectrometer can separate ions according to their charges and masses. One simple design for such a device is shown in Figure 20.27. Ions

A mass spectrometer can separate ions according to their charges and masses. One simple design for such a device is shown in Figure 20.27. Ions of mass m, charge q, and speed v enter a region in which the magnetic field B is constant and perpendicular to the plane. The ions then travel in a circular arc and leave the spectrometer a distance L = 2r from their entry point. Consider a hypothetical mass spectrometer used to study the isotopes of hydrogen. Find r for H⁺, D⁺ (deuterium), and T⁺ (tritium).

Figure 20.27

Incoming ions Ion detector

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