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If \(R\) is the Rydberg Constant in \(\mathrm{cm}^{-1}\), then hydrogen atom does not emit any radiation of wave-length in the range of
(A) \(\frac{1}{R}\) to \(\frac{4}{3 R} \mathrm{~cm}\)
(B) \(\frac{7}{5 R}\) to \(\frac{19}{5 R} \mathrm{~cm}\)
(C) \(\frac{4}{R}\) to \(\frac{36}{5 R} \mathrm{~cm}\)
(D) \(\frac{9}{R}\) to \(\frac{144}{7 R} \mathrm{~cm}\)

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Ans: (B)
 \(\frac{1}{\lambda}=R\left[\frac{1}{n_{t^{2}}}-\frac{1}{n_{2}}\right]\)
For range of wavelengths:-
\(n_{i}=1,2,3, \ldots .\) for Lyman, Balmer, Paschen, ......
\(n_{\mathrm{f}}=n_{\mathrm{i}}+1\) and \(n_{\mathrm{f}}=\infty\) for upper and lower range
Thus, Lyman : \(\left[\frac{1}{R}\right.\) to \(\left.\frac{4}{3 R}\right]\), Balmer : \(\left[\frac{4}{R}\right.\) to \(\left.\frac{36}{5 R}\right]\), Paschen : \(\left[\frac{9}{R}\right.\) to \(\left.\frac{144}{36 R}\right]\), Bracket : \(\left[\frac{16}{R}\right.\) to \(\left.\frac{400}{9 R}\right]\), Pfund : \(\left[\frac{25}{R}\right.\) to \(\left.\frac{900}{11 R}\right]\)
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