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Because there is only one electron in hydrogen, that means there are no electron-electron repulsions and that every subshell will have the same energy (degenerate). Multi-electron atoms however have electron-electron repulsions that give rise to different energies in each subshell due of the shielding effect of the inner electrons. Hope this helps!
A degenerate electron system simply means all orbitals have the same energy. In multi-electron systems, s-Orbitals have less energy than p-Orbitals due to shielding. However, if there is only one electron, there cannot be such shielding, and therefore, have the same energy.
Like the other posts say, degeneracy means that you have multiple orbitals with the same energy level, so with the one electron system, there are no shielding effects - therefore, all of the shells are energy-degenerate.
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