A hydrogen atom and a `Li^(2+)` ion are both in the second excited state. If `l_H` and `l_(Li)` are their respective electronic angular momenta, and `E_H and E_(Li)` their respective energies, then
(a) `l_H gt l_(Li) and |E_H| gt |E_(Li)|`
(b) `l_H = l_(Li) and |E_H| lt |E_(Li)|`
(C ) `l_H = l_(Li) and |E_H| gt |E_(Li)|`
(d) `l_H lt l_(Li) and |E_H| lt|E_(Li)|`

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)|`