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Q.

The ratio of wavelengths of the $1^{s t}$ line of Balmer series and $2^{n d}$ line of Lyman series is $x .$ Find the value of $x + 0.6.$

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answer is 7.

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Detailed Solution

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$\begin{aligned} \frac{1}{λ_{2}} = (1 - \frac{1}{9}) = \frac{8}{9} \\ \frac{1}{λ_{1}} = (\frac{1}{4} - \frac{1}{9}) = \frac{5}{4 \times 9} \\ \frac{λ_{1}}{λ_{2}} = \frac{8 \times 4 \times 9}{9 \times 5} = \frac{32}{5} \end{aligned}$

So x+0.6=7.

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The ratio of wavelengths of the 1st line of Balmer series and 2nd line of Lyman series is x. Find the value of x+0.6.