1.

In the spectrum of hydrogen, find the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series

Answer»

For Lyman series,

\(\frac{1}{\lambda_1}\) = \((\frac{1}{1^2}-\frac{1}{2^2})\) 

\(\frac{3}{4}\)R

For Balmer series,

\(\frac{1}{\lambda_1}\) = \((\frac{1}{2^2}-\frac{1}{3^2})\) 

\(\frac{5}{36}\)

Dividing above two equations,

\(\frac{\lambda_1}{\lambda_2}\) \(\frac{(5/36)R}{(3/4)R}\) 

\(\frac{5}{27}\) 



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