The series limit for the Balmer series of H a | vedclass

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(C) The series limit of a spectral series corresponds to the transition from $n_2 = \infty$ to $n_1 = 2$ for the Balmer series.Using the Rydberg formu

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$3646 \ \mathring{A}$

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(C) The series limit of a spectral series corresponds to the transition from $n_2 = \infty$ to $n_1 = 2$ for the Balmer series.Using the Rydberg formula: $\frac{1}{\lambda} = R_H 	imes Z^2 	imes (\frac{1}{n_1^2} - \frac{1}{n_2^2})$.For $H$ atom,$Z = 1$,$n_1 = 2$,and $n_2 = \infty$.$\frac{1}{\lambda} = R_H 	imes (\frac{1}{2^2} - \frac{1}{\infty^2}) = \frac{R_H}{4}$.$\lambda = \frac{4}{R_H} = \frac{4}{109677 \ cm^{-1}} \approx 3.646 	imes 10^{-5} \ cm = 3646 \ \mathring{A}$.

The series limit for the Balmer series of $H$ atom spectra is:

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