An electron in the n=7 level of the hydrogen atom relaxes to a lower energy level, emitting light with a wavelength of 93.1 nm. What is the value of n for the level to which the electron relaxed?

Use the Rydberg formula to relate the wavelength of the emitted light to the initial and final energy levels of the electron. The formula is: $\frac{1}{\lambda }=R(\frac{1}{n^2}-\frac{1}{n^1})$, where $\lambda$ is the wavelength, $R$ is the Rydberg constant, $n^1$ is the initial energy level, and $n^2$ is the final energy level.