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JEE Main20262 April 2026Morning ShiftPhysicsAtomic PhysicsActual

Angular momentum of an electron in a hydrogen atom is 3h , then the energy of the electron is _______ eV.

Options

  1. A-1.51
  2. B-0.85
  3. C-0.38
  4. D-0.28

Correct answer

C. -0.38

Step-by-step solution

The angular momentum of an electron in the n -th orbit of a hydrogen atom is given by Bohr's quantization rule: L = nh 2 Given that the angular momentum is 3h , we can equate the two expressions: nh 2 = 3h Solving for n , we get: n = 6 The energy of an electron in the n -th orbit of a hydrogen atom is given by the formula: E_n = - 13.6 n^2 eV Substituting n = 6 into the energy formula: E₆ = - 13.6 6^2 eV E₆ = - 13.6 36 eV E₆ -0.377 eV -0.38 eV Answer: -0.38

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