For any given series of spectral lines of atomic hydrogen, let Δ ν̄=ν̄_max -ν̄_min be the difference in maximum and minimum frequencies in cm^-1. The…

For any given series of spectral lines of atomic hydrogen, let $\displaystyle \Delta \bar{\nu}=\bar{\nu}_{\text {max }}-\bar{\nu}_{\text {min }}$ be the difference in maximum and minimum frequencies in $\displaystyle \mathrm{cm}^{-1}$. The ratio $\displaystyle \Delta \bar{\nu}_{\text {Lyman }} / \Delta \bar{\nu}_{\text {Balmer }}$ is :