The ratio of the wavelength of the first line of the Balmer series to that of the first line of the Lyman series in hydrogen is
A. \(\frac{9}{4}\)
B. \(\frac{4}{3}\)
C. \(\frac{5}{27}\)
D. \(\frac{27}{5}\)
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Answer: D. \(\frac{27}{5}\)
\(\frac1{\lambda_B}\propto\frac14-\frac19=\frac{5}{36}\), \(\frac1{\lambda_L}\propto1-\frac14=\frac34\). \(\frac{\lambda_B}{\lambda_L}=\frac{3/4}{5/36}=\frac{27}{5}\).
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· 23 Oct 2026
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