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A Hydrogen atom and Li^(++) ion are bot...

A Hydrogen atom and `Li^(++)` ion are both in the second excited state. If `L_(H)` and `L_(Li)` are their respective 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
Since , Angular momentum
`L = (nh)/(2pi)`
and energy (E )
`E prop (Z^(2))/(n^(2)) " , Hence ,"l_(H) =l_(Li) and |E_("Li")|gt |E_(H)|` .
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