[latex]Delta E= frac{E_1}{4^2}- frac{E_1}{3^2} =frac{E_1}{16}- frac{E_1}{9} =frac{9E_1}{144}- frac{16E_1}{144} =- frac{7E_1}{144}approxoxed{0,66eV}\ Delta E= frac{E_1}{4^2}- frac{E_1}{2^2} =frac{E_1}{16}- frac{E_1}{4} =frac{E_1}{16}- frac{4E_1}{16} =- frac{3E_1}{16}=oxed{2,55eV}\ Delta E= frac{E_1}{4^2}- frac{E_1}{1^2} =frac{E_1}{16}- frac{E_1}{1} =-frac{15E_1}{16} =oxed{12,75eV}\ [/latex] W razie pytań pisz.
[latex]a)\m = 4\n = 3\E_1 = -13,6 eV[/latex] [latex]Delta E = E_4-E-3 = frac{E_1}{m^{2}}-frac{E_3}{n^{2}} = E_1(frac{1}{m^{2}}-frac{1}{n^{2}})\\Delta E = -13,6eV(frac{1}{4^{2}}-frac{1}{3^{2}}) = -13,6eV(frac{1}{16}-frac{1}{9}) =0,66 eV[/latex] [latex]b)\m = 4\n = 2[/latex] [latex]Delta E = E_1(frac{1}{m^{2}}-frac{1}{n^{2}})\\Delta E = -13,6eV(frac{1}{16}-frac{1}{4})= -13,6eV*(-frac{15}{16})=2,55 eV[/latex] [latex]c)\m = 4\n = 1[/latex] [latex]Delta E = E_1(frac{1}{m^{2}}-frac{1}{n^{2}})\\Delta E=-13,6eV(frac{1}{16}-1)= -13,6eV*(-frac{15}{16})= 12,75 eV[/latex]
