The image below shows a mass spectrometer, an analytical instrument used to iden

Question

The image below shows a mass spectrometer, an analytical instrument used to identify the various molecules in a sample by measuring their charge-to-mass ratio e/m. The sample is ionized, the positive ions are accelerated (starting from rest) through a potential difference V, and they then enter a region of uniform magnetic field. The field bends the ions into circular trajectories, but after just half a circle they either strike the wall or pass through a small opening to a detector. As the accelerating voltage is slowly increased, different ions reach the detector and are measured. Typical design values are a magnetic field strength B=0.334T and a spacing between the entrance and exit holes d=5.84cm. What accelerating potential difference V is required to detect N2+?

Explanation / Answer

Assuming mass of N2+ ion to be m m = (14.0031 * 1.6604^-27kg) = 2.325^-26 kg q = 2e = 3.20^-19C

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