The energy of He + ion in its first state is, (The ground state energy for the Hydrogen atom - 13 . 6  …

The energy of He+ ion in its first state is, (The ground state energy for the Hydrogen atom-13.6 eV):
  1. -27.2 eV
  2. -3.4 eV
  3. -13.6 eV
  4. -54.4 eV

Solution

Energy of Hydrogen like atoms is, E=-13.6Z2n2eV.

Since Helium is in the first state, Z=2, n=2.

The energy of He+ ion is,

E=-13.6×2222=-13.6 eV

Asked in: JEE Main 2023 (11 Apr Shift 2)

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