28. Magnetic Fields and Forces
28. Magnetic Fields and Forces / Mass Spectrometer / Problem 5
A mass spectrometer uses sulfur isotopes of mass numbers 32, 33, and 34 from a meteorite sample. The directions of the electric field between the plates and the magnetic fields are shown below. The marks formed by singly charged ions of each type on a detector film are equally spaced by 0.0017 m. Determine the new spacing on the detector if the ions are doubly charged.
![Diagram of a mass spectrometer showing sulfur isotopes and their paths to a detector.](data:image/png;base64,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)
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