Question

An electron of charge ‘e’ and mass ‘m’ is revolving which has orbital magnetic moment ‘M’. Its angular momentum is given by ______.

Options

• `(Mm)/e`

• `(2Mm)/e`

• `(Me)/m`

• `m/(Me)`

Answer 1

An electron of charge ‘e’ and mass ‘m’ is revolving which has orbital magnetic moment ‘M’. Its angular momentum is given by `bbunderline((2Mm)/e)`.

Explanation:

The relationship between the orbital magnetic moment (M) and the angular momentum (L) of an electron is defined by the gyromagnetic ratio.

For a revolving electron, the ratio of magnetic moment to angular momentum is:

`M/L = e/(2 m)`

∴ `L = (2 M m)/e`