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A model for a quantized motion of an electron in a uniform magnetic field B states that the flux passing through the orbit of the electron is \( \phi = n h / e \) where \(n\) is an integer, \(h\) is Planck's constant and \(e\) is the magnitude of electron's charge. According to the model, the magnetic moment of an electron in its lowest energy state will be (\(m\) is the mass of the electron):

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Remember the quantization of magnetic flux and the expressions for magnetic moment and angular momentum of an orbiting charge. The relationship between magnetic moment and angular momentum is \( \mu = \frac{e}{2m} L \).
Updated On: Nov 26, 2025
  • \( \frac{he}{4 \pi m} \)
  • \( \frac{he}{2 \pi m} \)
  • \( \frac{he}{2 m} \)
  • \( \frac{he}{4 m} \)