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Question:

A He^+ ion is in its first excited state. Its ionization energy is?

6.04eV

48.36eV

13.60eV

54.40eV

Solution:

Correct option is B. 13.60eV
Energy levels in Hydrogen like atom is given by
E = -13.6(z²/n²) eV
As He+ is in 1st excited state ∴ z=2, n=2
E = -13.6 eV
As total energy of He+ in 1st excited state is -13.6 eV, ionization energy should be +13.6eV.