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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
`l = (nh)/(2pi) = (3h)/(2pi) = l_(H) = l_(Li), |E| prop Z^(2)` as `Z_(H) lt Z_(Li)`
`rArr |E_(H)| lt |E_(Li)|`
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