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MHT CET202211 Aug 2022Morning ShiftPhysicsRay OpticsActual

The ratio of the total energy of the 2^ nd orbit electron for the hydrogen atom ( ₁ H^1 ) to that of helium ion (H_e⁺ ) [ ( ₂^4 He ) ] is

Options

  1. A4
  2. B1 2
  3. C2
  4. D1 4

Correct answer

D. 1 4

Step-by-step solution

Total energy of an electron in a Hydrogen like atom is given by, E=-13.6 Z^2 n^2 E_H E_ H e = ( 1 2 )^2 ( 2 2 )^2= 1 4

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