The ratio of wave length of first line of Lyman series to the first line of Balm

Question

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

Options:

A . 1 : 4

B . 5 : 27

C . 27 : 20

D . 20 : 27

Answer: Option B
:
B

λ_{1} = \frac{4}{3 R}

λ_{2} = \frac{36}{5 R}

\frac{λ_{1}}{λ_{2}} = \frac{4}{3} \times \frac{5}{36} = \frac{5}{27}

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