\(\therefore \,\bar v = \frac{1}{\lambda } = R\left[ {\frac{1}{{n_1^2}} - \frac{1}{{n_2^2}}} \right] = R\left[ {\frac{1}{{n_1^2}} - \frac{1}{{{\infty ^2}}}} \right] = \frac{R}{{n_1^2}}\)
\(\because \,\bar v = 12186.3 = \frac{{109677.76}}{{n_1^2}}\)
\( \Rightarrow n_1^2 = \frac{{109677.76}}{{12186.3}} = 9 \Rightarrow {n_1} = 3\)
The line belongs to Paschen series.
$(A)$ $n=4,1=1$ $(B)$ $\mathrm{n}=4,1=2$ $(C)$ $\mathrm{n}=3,1=1$ $(D)$ $\mathrm{n}=3,1=2$ $(E)$ $n=4,1=0$
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