The hydrogen -like species `Li^(2+)` is in a spherically symmetric state `S_(1)` with one node. Upon absorbing 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 angular momentum quantum number of the state `S_(2)` is

Options

A. 0.75
B. `1.50`
C. 2.25
D. `4.50`

Answer

C

Explanation

The energy of `S_(1)`state (for 2s orbital)of
`Li^(2+)ion=(-13.6xx(3)^(2))/((2)^(2))=-13.6xx(9)/(4)`
`=-13.6xx2.25 eV`
`=2.25 ` times of `E_(H)`.