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Q.

In hydrogen atomic spectrum, a series limit is found at 12186.3 cm^-1. Then, it belongs to

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a

Lyman series

b

Brackett series

c

Paschen series

d

Balmer series

answer is C.

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Detailed Solution

For limiting line, $n_{2} = \infty$
$\bar{v} = R_{H} [\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}]$
$\begin{array}{l} 12186 .3 = 109678 [\frac{1}{n_{1}^{2}} - \frac{1}{\infty^{2}}] \\ ∴ n_{1} = 3 \end{array}$
Since n₁ = 3, it belongs to Paschen series.

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