A hydrogen atom and a `Li^(++)` ion are both in the second excited state. If `l_H` and `l_Li` are the respective electronic angular momenta and `E_H` and `E_Li` their respective energies, then

Options

A. `l_(H) lt l_(L I) and |E_(H) | gt |E_(L I)|`
B. `l_(H) = l_(L I) and |E_(H) | lt |E_(L I)|`
C. `l_(H) = l_(L I) and |E_(H) | gt |E_(L I)|`
D. `l_(H) lt l_(L I) and |E_(H) | lt |E_(L I)|`

Answer

B

Explanation

`L` will be same for both because it does not depend upon `Z`. But for energy
`(E_(n)) _(Li) = - (Z^(2) xx 13.6)/(n^(2)) and (E_(n)) _(H) = - (13.6)/(n^(2))`
Clearly , `|E_(H)| lt |E_(L i)|`