[latex]dane:\m = 5\n = 3\E_1 = -13,6 eV = -21,76cdot10^{-19} J\1 eV = 1,6cdot10^{-19} J\h = 6,63cdot10^{-34} Jcdot s\c = 3cdot10^{8}frac{m}{s}\szukane:\lambda = ?\\Rozwiazanie\\E = E_{m}-E_{n} = E_1cdot(frac{1}{m^{2}}-frac{1}{n^{2}})\\E = -21,76cdot10^{-19}Jcdot(frac{1}{5^{2}}-frac{1}{3^{2}})=-21,76cdot10^{-19}Jcdot(frac{1}{25}-frac{1}{9})=\\=-21,76cdot10^{-19}Jcdot(-frac{16}{225})=1,55cdot10^{-19} J[/latex] [latex]lambda = hcdotfrac{c}{E}\\lambda = 6,63cdot10^{-34}Jscdotfrac{3cdot10^{8}frac{m}{s}}{1,55cdot10^{-19}J}\\lambda = 12,83cdot10^{-7} m = 1283 nm[/latex]
