The Bohr model for the hydrogen atom states that a single electron can exist only in the orbits whose radii are r = (0.0529)n²nm, where n is a positive integer number. The electric potential energy of a hydrogen atom in which the electron in the third allowed orbit (n = 3) measured in eV (1 eV = 1.6 * 10^-19J) is

Question

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The electric potential energy in the Bohr model is negative, indicating that the electron is bound to the nucleus. It becomes less negative as the electron moves to higher energy levels (larger n values). The energy for a given level n is proportional to -1/n^2. Since the question specifies n = 3, the energy will be less negative than for n = 1 or n = 2, but still negative, hence -3.0 eV is the correct choice.

The Bohr Model for the Hydrogen Atom States That a Single