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The hydrogen -like species Li^(2+) is in...

The hydrogen -like species `Li^(2+)` is in a splrically sysmetric state `S_(1)` with one node ,Upon ansorbing light , the ion underidoes transition to a state `S_(2)` The state has one radial node and it energy is equal is equal to the ground state energy of the hydrogen atom
The orbit angular momentum quantum number of teh state `S_(2)` is

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
`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
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