[QUE/QM-16002]

Use the following data on the wavelengths of the first few lines of the Lyman series of the hydrogen atom to find best fit to the value of the Rydberg constant.

Wavelengths in  Angstrom units :: 1215.68, 1025.83, 972.54

Use your value of the Rydberg constant to predict the wavelengths of the lines
specified below.  

(i) next two lines in the Lyman series.
(ii) the first nine lines in the Balmer series.
(iii) the first three lines of the Ritz Paschen series.
(iv) the first two lines of the Brackett series.
(v) Compare your answers with the experimental results given at the
end and comment on the agreement of the theory with the experiments.

Remarks:
Experimental wavelengths are as follows
(i) Balmer series : 6562.79,
4861.33, 4340.17, 4104.74, 3970.07, 3889.05, 3835.39, 3797.90, 3770.63 , all in
Angstrom units.
(ii) Ritz Paschen Series : 18751.1, 12818.1, 10938 , all in Angstrom units.
(iii) Brackett Series : 2.63 $\mu$, 4.05 $\mu$
Latest value of the Rydberg constant,  R = 109737.3177 $\mbox{cm}^{-1}$