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Which energy level in Li^(2+) has same e...

Which energy level in `Li^(2+)` has same energy as the fourth energy level of hydrogen atom?

Text Solution

Verified by Experts

The correct Answer is:
12
`E_(nLi^(2+))=(E_(1Li^(2+)))/n^2`
Also `E_4` for `H=(E_(1H))/4^2 and E_(iL^(2+))=E_(1H)xx3^2`
or `(E_(1H))/4^2 =(E_(1Li^(2+)))/n^2` or `E_(1H)/4^2 =(E_(1H) xx3^2)/n^2`
`:. n^2 = 3^2 xx4^2 =144 implies n=12`
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