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A hydrogen atom and a Li^(2+) ion ae bot...

A hydrogen atom and a `Li^(2+)` ion ae both in the second excited state . If `l_H` and ` l_(li)` are their respective angular momentum in an orbit and `E_H` and ` E_(Li)` are their respective enrgies, then :

A

`l_H gtl_(Li)` and `E_H gtE_(Li`

B

`l_H gtl_(Li)` and `E_H gtE_(Li`

C

`l_H gtl_(Li)` and `E_H gtE_(Li`

D

`l_H gtl_(Li)` and `E_H gtE_(Li)`

Text Solution

Verified by Experts

The correct Answer is:
B
`E_(2Li^(2+)) = E_(2H) xx Z^2`
`:. E_(2Li^(2+)) =E_(2h) xx Z^2`
`:. E_(2Li^(2+)) gt E_(2H^+)`
`= sqrt (l (l + 1)) h/(2pi)` (`:. L= 0`for both )
`:. l_(H^+)= L_(Li^(2+))`.
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