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KCET2021PhysicsAtomic Physics

Energy of an electron in the second orbit of hydrogen atom is E₂ . The energy of electron in the third orbit of He ⁺ will be

Options

  1. A9 16 E₂
  2. B16 9 E₂
  3. C3 16 E₂
  4. D16 3 E₂

Correct answer

B. 16 9 E₂

Step-by-step solution

The energy of the electron in the n th orbit is given by E_ n =-13.6 eV Z² n² E_ n Z² n² For hydrogen atom, Z=1E_ n 1 n² In second orbit, n=2E₂ 1 (2)² In case of He ⁺, Z=2 and n=3 aligned & E₃ (2)² (3)² & E₂ E₃ = 1 4 9 4 = 9 16 & E₃= 16 E₂ 9 aligned

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