Shortest, λhc=−13.6(n121−n221) λ↓E↑;λ0hc=−13.6(1) Balmer Series :
$\begin{aligned}
& \frac{\mathrm{hc}}{\lambda_1}=-13.6\left(\frac{1}{2^2}-\frac{1}{3^2}\right) \
& \frac{\mathrm{hc}}{\lambda_1}=-13.6\left(\frac{1}{4}-\frac{1}{9}\right)
\end{aligned}\begin{aligned} & \frac{\mathrm{hc}}{\lambda_1}=-13.6 \times\left(\frac{5}{36}\right) \ & \Rightarrow \frac{-13.6 \lambda_0}{\lambda_1}=-13.6 \times \frac{5}{36} \ & \lambda_1=\frac{\lambda_0 \times 36}{5}=\frac{915 \times 36}{5}=6588\end{aligned}$