In `psi_(321)`, the sum of angular momentum, spherical nodes and angular node is

Options

A. `(sqrt6h + 4 pi)/(2 pi)`
B. `(sqrt6h)/(2pi) + 3`
C. `(sqrt6h + 2pi)/(2pi)`
D. `(sqrt6h + 8 pi)/(2 pi)`

Answer

A

Explanation

`Psi_(321) : n = 3 , l = 2 , m = 1`
Angular momentum = `(h)/(2pi) sqrt(l (l+1)) = (sqrt(6h))/(2pi)`
Spherical nodes = 3 - 2 - 1 = 0, Angular node = 2
Sum of all the above = `(sqrt6 h)/(2 pi) + 2 = (sqrt6 h + 4 pi)/(2 pi)`