JEE Main202311 Apr 2023Evening ShiftPhysicsAtomic PhysicsActual
The energy of He + ion in its first state is, (The ground state energy for the Hydrogen atom - 13 . 6 eV ):
Options
- A- 27 . 2   eV
- B- 3 . 4   eV
- C- 13 . 6   eV
- D- 54 . 4   eV
Correct answer
C. - 13 . 6   eV
Step-by-step solution
Energy of Hydrogen like atoms is, E = - 13 . 6 Z 2 n 2 eV . Since Helium is in the first state, Z = 2 ,   n = 2 . The energy of He + ion is, E = - 13 . 6 × 2 2 2 2 = - 13 . 6   eV