The magnetic moment $(\mu)$ of a revolving electron around the nucleus varies with principal quantum number $n$ as

  • A
    $\mu \propto n$
  • B
    $\mu \propto 1/n$
  • C
    $\mu \propto n^2$
  • D
    $\mu \propto 1/n^2$

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Explain orbital magnetic moment and spin magnetic moment.

An electron is moving in an orbit around the nucleus in an atom. Let $m$ be the orbital magnetic moment and $L$ be the angular momentum of the electron,then

The ratio of angular momentum $\overrightarrow{L}$ of an electron to the magnetic dipole moment $\overrightarrow{m}_{\text{orb}}$ is (where $m$ is the mass of the electron and $e$ is the charge on the electron).

An electron moving around the nucleus with an angular momentum $L$ has a magnetic moment ( $e=$ charge on electron,$m=$ mass of electron )

$A$ 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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