The ratio of wave length of first line of Lyman series to the first line of Balmer series is

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27 : 20

5 : 27

20 : 27

1: 4

answer is B.

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Detailed Solution

$\begin{array}{l} \frac{1}{λ} = R (Z)^{2} (\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}); ∴ \frac{1}{λ} α (\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}) \\ ∴ \frac{λ_{L}}{λ_{B}} = \frac{\frac{1}{2^{2}} - \frac{1}{3^{2}}}{\frac{1}{1^{2}} - \frac{1}{2^{2}}} = \frac{5 / 36}{3 / 4}; λ_{L} : λ_{B} = 5 : 27 \end{array}$

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