An electron $(e)$ is revolving in a circular orbit of radius $r$ in a hydrogen atom. The angular momentum of the electron is (where $M$ is the magnetic dipole moment associated with it and $m$ is the mass of the 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).

What is the gyromagnetic ratio? Give its magnitude for an electron.

The angle made by the orbital angular momentum of an electron with the direction of its orbital magnetic moment is: (in $^{\circ}$)

$A$ particle of charge '$q$' and mass '$m$' moves in a circular orbit of radius '$r$' with angular speed '$\omega$'. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on

If the angular momentum of an electron is $\vec{J}$,then the magnitude of the magnetic moment will be: