The magnetic moment of a revolving electron of charge $e$ and mass $m$ in terms of the angular momentum $L$ of the electron is:

  • A
    $\frac{eL}{8m}$
  • B
    $\frac{eL}{4m}$
  • C
    $\frac{eL}{2m}$
  • D
    $\frac{eL}{m}$

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Obtain an expression for the orbital magnetic moment of an electron rotating about the nucleus in an atom and explain the gyromagnetic ratio.

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$A$ model for quantized motion of an electron in a uniform magnetic field $B$ states that the flux passing through the orbit of the electron is $n(h / e)$ 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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