Determine the wavelength of light emitted when an electron in a hydrogen atom makes a transition from n = 5 to n = 3 energy levels.

Understand that the problem involves an electron transition in a hydrogen atom, which can be analyzed using the Rydberg formula for hydrogen: $\frac{1}{\lambda }=R(\frac{1}{n^1}-\frac{1}{n^2})$, where $\lambda$ is the wavelength, $R$ is the Rydberg constant (approximately $1.097\times {10}^7 m-1$), and $n_1$ and $n_2$ are the principal quantum numbers of the initial and final energy levels.