The energy of the ground state in the Bohr model of the hydrogen atom is -13.6 eV.The energy of the n = 2 state of hydrogen in this model is closest to
A) -3.4 eV.
B) -6.8 eV.
C) -1.7 eV.
D) -13.6 eV.
E) -4.5 eV.

Question

Quizplus · Accepted Answer

The energy levels in the Bohr model of the hydrogen atom are given by $E_n = \frac{-13.6 \text{ eV}}{n^2}$, where $n$ is the principal quantum number. For the $n = 2$ state, the energy is $E_2 = \frac{-13.6 \text{ eV}}{2^2} = \frac{-13.6 \text{ eV}}{4} = -3.4 \text{ eV}$.

The Energy of the Ground State in the Bohr Model