Question

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.
Energy of the state `S_(1)` in units of the hydrogen atom ground state energy is
A. `0.75`
B. `1.50`
C. `2.25`
D. `4.50`

Answer 1

Correct Answer - C
Energy of state `S_(1)=-13.6(3^(2)/2^(2)) eV//atom`
`=9/4` (energy of H-atom in ground state)=`2.25` (energy of H-atom in ground state).