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

Options

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)|`

Answer

B

Explanation

In second excited state `n=3`, so, `l_(H)=1, l_(Li)=((3h)/(2pi))`
white`" "E prop Z^(2)" "and " "Z_(H)=1, Z_(Li)=3`
So,`" "|E_(Li)|=9 |E_(H)|` or `|E_(H)| lt |E_(Li)|`