Oblicz długość fali widma wodoru z serii Balmera dla n=5 Dam naj :)

[latex]dane:\n = 5\R = 1,09cdot10^{7}frac{1}{m}\szukane:\lambda = ?\\Rozwiazanie\\frac{1}{lambda} = R(frac{1}{2^{2}}-frac{1}{n^{2}})\\frac{1}{lambda} = 1,09cdot10^{7}frac{1}{m}(frac{1}{2^{2}}-frac{1}{5^{2}})\\frac{1}{lambda} = 1,09cdot10^{7}frac{1}{m}(frac{1}{4}-frac{1}{25})\\frac{1}{lambda} = 1,09cdot10^{7}frac{1}{m}cdot0,21\\frac{1}{lambda} = 0,2289cdot10^{7}frac{1}{m}\\lambda = frac{1}{0,2289}cdot10^{-7} m\\lambda = 4,37cdot10^{-7} m = 437 nm[/latex]