Question:

The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum is given by:

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The magnetic moment of a particle moving in a circular orbit is given by \( \vec{\mu}_L = -\frac{e \vec{L}}{2m} \), where the negative sign accounts for the negative charge of the electron.
Updated On: Feb 13, 2025
  • \( \vec{\mu}_L = \frac{e \vec{L}}{2m} \)
  • \( \vec{\mu}_L = -\frac{e \vec{L}}{2m} \)
  • \( \vec{\mu}_l = -\frac{e \vec{L}}{m} \)
  • \( \vec{\mu}_l = \frac{2e \vec{L}}{m} \)
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The Correct Option is B

Solution and Explanation

Step 1: The magnetic moment of an electron moving in a circular orbit is related to its orbital angular momentum by the equation: \[ \vec{\mu}_L = -\frac{e \vec{L}}{2m}. \] Step 2: The negative sign indicates that the direction of the magnetic moment is opposite to the direction of the angular momentum due to the negative charge of the electron.
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