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)gtl_(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)|`

Answer

A

Explanation

`l=(nh)/(2pi)Rightarrow l_(H)=l_(Li)` (l is independent of Z)
`|E|=13.6Z^(2)/n^(2) Rightarrow |E_(Li)|gt|E_(H)|`