Answer:
[tex]\lambda=1090nm[/tex]
Explanation:
Rydberg formula is used to calculate the wavelengths of the spectral lines of many chemical elements. For the hydrogen, is defined as:
[tex]\frac{1}{\lambda}=R_H(\frac{1}{n_1^2}-\frac{1}{n_2^2})[/tex]
Where [tex]R_H[/tex] is the Rydberg constant for hydrogen and [tex]n_1[/tex], [tex]n_2[/tex] are the lower energy state and the higher energy state, respectively.
[tex]\frac{1}{\lambda}=1.10*10^{7}m^{-1}(\frac{1}{3^2}-\frac{1}{6^2})\\\frac{1}{\lambda}=9.17*10^{5}m^{-1}\\\lambda=\frac{1}{1.09*10^{6}m^{-1}}\\\lambda=1.09*10^{-6}m*\frac{10^{9}nm}{1m}\\\lambda=1090nm[/tex]
