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MHT CET202620 April 2026Morning ShiftPhysicsAtomic PhysicsActual

The angular momentum of an electron in Bohr's hydrogen atom having energy (-0.544) eV is ( h = Planck's constant)

Options

  1. Ah
  2. B3h
  3. C5h 2
  4. D7h 2

Correct answer

C. 5h 2

Step-by-step solution

The energy of an electron in the n -th orbit of a hydrogen atom is given by E_n = - 13.6 n^2 eV. Given E_n = -0.544 eV, we have: - 13.6 n^2 = -0.544 n^2 = 13.6 0.544 = 25 n = 5 The angular momentum of an electron in the n -th orbit is given by L = nh 2 . Substituting n = 5 , we get: L = 5h 2 Answer: 5h 2

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