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NEET2007PhysicsAtomic PhysicsActual

What is the energy of ( He ⁺ )electron in first orbit?

Options

  1. A(40.8 ~eV )
  2. B(-27.2 ~eV )
  3. C(-54.4 ~eV )
  4. D(-13.6 ~eV )

Correct answer

C. (-54.4 ~eV )

Step-by-step solution

For hydrogen like atoms like ( He ⁺, Li ⁺⁺ )etc, the energy in an (n^ th ) orbit is given by (E_n= -Z^2 13.6 n^2 eV ) For ( He ⁺, Z=2 ) ( E₁= -(2)^2 13.6 (1)^2 eV =-54.4 eV )

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