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Hydrogen Spectrum & Spectral Series question from NEET 2013

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Hydrogen Spectrum & Spectral Series

Ratio of longest wave lengths corresponding to Lyman and Balmer series in hydrogen spectrum is

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Answer: (c)

Lyman longest ( $2 \to 1$ ): $\frac{1}{\lambda_L} = \frac{3R}{4}$
Balmer longest ( $3 \to 2$ ): $\frac{1}{\lambda_B} = \frac{5R}{36}$
$\frac{\lambda_L}{\lambda_B} = \frac{5/36}{3/4} = \frac{5}{27}$
So the answer is (c) $\frac{5}{27}$ .

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