The angular momentum of an electron in a hydrogen atom is 3h / π. According to the Bohr model, what is the energy of the electron?
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The angular momentum of an electron in a hydrogen atom is 3h / π. According to the Bohr model, what is the energy of the electron?

G1 Physics · Accepted Answer

Bohr's angular-momentum condition is L = nh ÷ (2π). Given, L = 3h ÷ π. Therefore, nh ÷ (2π) = 3h ÷ π. Cancel h ÷ π: n ÷ 2 = 3. Hence, n = 6. For hydrogen, Eₙ = -13.6 ÷ n² eV. Therefore, E₆ = -13.6 ÷ 6² = -13.6 ÷ 36 ≈ -0.378 eV. Thus, E ≈ -0.38 eV. Correct option: C.