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Q.

Not considering the electronic spin the degeneracy of the second excited state (n = 3) or of H-atom is 9, where the degeneracy of the third excited state of H  is :

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answer is 16.

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Detailed Solution

For H-atom the (single electronic system), Energy order of different subshells:  

1s<2s=2p<3s=3p=3d
Hence in it’s 2nd  excited state electron reaches to the shell number = 3.
While for H- ion (multielctronic system) the energy order of different subshell is  1s<2s<2p
Hence in it’s 2nd excited state electron enters in 2p subshell. 
Hence degeneracy of 2p subshell of 2nd excited state = 3

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