The hydrogen -like species `Li^(2+)` is in a spherically sysmmetric state `S_(1)` with one node ,Upon ansorbing light , the ion undergoes transition to a state `S_(2)` The state `s_(2)` has one radial node and its energy is equal is to the ground state energy of the hydrogen atom
The orbital momentum number of teh state `S_(2)` is

Options

A. 0
B. 1
C. 2
D. 3

Answer

B

Explanation

`S_(2)` has one radial node
`E_(S_2) = E_(H) (given)`
`or (-13.6)/(n^(2)) xx 2^(2) = (-13.6)/(1^(2)) xx 1^(2)`
`or n = 3`
Radial nodes ` = n - l- 1 = 1`
`or 3 - 1 - l- 1= 1`
`or l = 1`
This means `S_(2)` is `3p`
The orbital angular momentum quantum number means azimuthal quantum numner which is `1` in this case