Oblicz długości fal w serii Balmera:) PLIS

[latex]frac{1}{lambda}=R(frac{1}{2^2}-frac{1}{n^2})\\ frac{1}{lambda}=1,0974*10^7(frac{1}{2^2}-frac{1}{3^2})\\ frac{1}{lambda}=1,0974*10^7(frac{1}{4}-frac{1}{9})\\ frac{1}{lambda}=1,0974*10^7(frac{9}{36}-frac{4}{36})\\ frac{1}{lambda}=1,0974*10^7*frac{5}{36}\\ frac{1}{lambda}=0,15*10^7\\ lambda=6,(6)*10^{-7}m, dla n=3\\ [/latex]  ________________________________________________________________________ [latex]frac{1}{lambda}=1,0974*10^7(frac{1}{2^2}-frac{1}{4^2})\\ frac{1}{lambda}=1,0974*10^7(frac{1}{4}-frac{1}{16})\\ frac{1}{lambda}=1,0974*10^7(frac{4}{16}-frac{1}{16})\\ frac{1}{lambda}=1,0974*10^7*frac{3}{16}\\ frac{1}{lambda}=0,206*10^7\\ lambda=4,85*10^{-7}m, dla n=4[/latex]  ________________________________________________________________________ [latex]frac{1}{lambda}=1,0974*10^7(frac{1}{2^2}-frac{1}{5^2})\\ frac{1}{lambda}=1,0974*10^7(frac{1}{4}-frac{1}{25})\\ frac{1}{lambda}=1,0974*10^7(frac{25}{100}-frac{4}{100})\\ frac{1}{lambda}=1,0974*10^7*frac{21}{100}\\ frac{1}{lambda}=0,2305*10^7*\\ lambda=4,34*10^{-7}m, dla n=5[/latex] _________________________________________________________________________ [latex]frac{1}{lambda}=1,0974*10^7(frac{1}{2^2}-frac{1}{6^2})\\ frac{1}{lambda}=1,0974*10^7(frac{1}{4}-frac{1}{36})\\ frac{1}{lambda}=1,0974*10^7(frac{9}{36}-frac{1}{36})\\ frac{1}{lambda}=1,0974*10^7*frac{8}{36}\\ frac{1}{lambda}=1,0974*10^7*frac{8}{36}\\ frac{1}{lambda}=0,244*10^7\\ lambda=4,09*10^{-7}m, dla n=6[/latex]