Using Bohr’s model, determine the energy of the electron in the $n=4$ level of a hydrogen atom.

Step-by-step solution

1. Recall Bohr’s energy formula $E_n=-\frac{13.6\text{ eV}}{n^2}$ for hydrogen.
2. Substitute $n=4$: $E_4=-\frac{13.6}{16}\text{ eV}$.
3. Divide: $E_4=-0.85\text{ eV}$.
4. State the result with the negative sign indicating a bound state.

Concept tested: Bohr energy levels of hydrogen

Published 6 September 2026 · Last updated 16 September 2026 · How this solution was prepared and checked