Use Bohr's model of hydrogen atom to obtain the relationship between the angular momentum and t magnetic moment of the revolving electron.

Explanation

When an electron revolves around the nucleus in an hydrogen atom, an equivalent current `I= (ev)/(2pir)` is set up and the magnetic moment associated with the circulating current is equivalent to
`vecmu_(l)=I.A=(ev)/(2pir)xxpir^(2)=(evr)/(2)`
However, as per Bohr.s quantum condition, the angular momentum of the revolving electron is an integer multiple of `(h)/(2pi) i.e`
`|vecl |= mvr = (nh)/(2pi)`
Comparing (i) and (ii) we find that
Comparing (i) and (ti), we find that
`|vecmu_(l)|= (e)/(2m).|vecl|`