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No. Of degenerate orbitals in the 4th exited state of hydride ion?

No. Of degenerate orbitals in the 4th exited state of hydride ion?

Grade:12

1 Answers

Arun
25750 Points
3 years ago
He⁺ is a hydrogen like species.
 
For them all orbitals belonging to the same shell having the same principal quantum number are having same energy as per Bohr energy expression
 
E = - 
 
Thus energy of 2s orbital is same as of 2p.
 
The ground state electronic configuration of He⁺ = (1 s 1)
 
The first excited state of He⁺ is (1 s 0 2 s 1) or (1 s 0 2 p x 1) or (1 s 0 2 p y 1) or (1 s 0 2 p z 1).
 
Since all of them have the same energy, we can see it is 4 fold degeneracy.
 
 

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