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A hydrogen atom and a Li^(2+) ion are b...

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)|`

Text Solution

Verified by Experts

The correct Answer is:
B
in second excited state n=3
So, `l_H = l_(Li) = 3((h)/(2pi))`
while `E prop Z^2 and Z_H = 1, Z_(Li) = 3`
So, `|E_(Li)| = 9| E_H|`
or `|E_H|lt|E_(Li)|.`
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