The frequency of the limiting line of the Lym | vedclass

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(A) For the limiting line of the Lyman series,$n_1 = 1$ and $n_2 = \infty$.Using the Rydberg formula: $\frac{1}{\lambda} = R Z^2 \left( \frac{1}{n_1^2

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$3.29 	imes 10^{15} \, 	ext{sec}^{-1}$

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(A) For the limiting line of the Lyman series,$n_1 = 1$ and $n_2 = \infty$.Using the Rydberg formula: $\frac{1}{\lambda} = R Z^2 \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} ight)$.For hydrogen $(Z=1)$,$\frac{1}{\lambda} = R \left( \frac{1}{1^2} - \frac{1}{\infty^2} ight) = R$.The value of Rydberg constant $R \approx 1.097 	imes 10^7 \, 	ext{m}^{-1} = 1.097 	imes 10^5 \, 	ext{cm}^{-1}$.Frequency $
u = \frac{c}{\lambda} = c 	imes R$.Using $c = 3 	imes 10^8 \, 	ext{m/s} = 3 	imes 10^{10} \, 	ext{cm/s}$:$
u = (3 	imes 10^{10} \, 	ext{cm/s}) 	imes (1.097 	imes 10^5 \, 	ext{cm}^{-1}) \approx 3.29 	imes 10^{15} \, 	ext{sec}^{-1}$.

The frequency of the limiting line of the Lyman series in the hydrogen spectrum is ....

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