Compute the angular momentum in 4th orbit, if L is the angular momentum of he electron in the 2nd orbit of hydrogen atom.

Explanation

We know that, the angular momentum of the electron of hydrogen atom,
`" " L_(n)=(nh)/(2pi) " " ... (i)`
But according to question, he angular momentum in 2nd orbit is L(n=2)
So, `" " L=(2h)/(2pi)=(h)/(pi) " " ...(ii)`
Hence , the angular momentum, in 4th orbitis
`L'_(4)=(4h)/(2pi)=(2h)/(pi)=2L " "` [from Eq. (ii)]