The wave number of the limiting line in Lyman series of hydrogen is 109678 cm^-1. The wave number of the limiting line in Balmer series of He⁺ would be:

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54839 cm^-1

438712 cm^-1

219356 cm^-1

109678 cm^-1

answer is C.

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Detailed Solution

Wave number of the limiting line in Balmer Series of He⁺

$\begin{array}{l} = R_{H} \cdot Z^{2} (\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}) \\ = 109678 \times (2)^{2} [\frac{1}{(2)^{2}} - \frac{1}{\infty}] = 109678 {cm}^{- 1} \end{array}$

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