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Q. The wavelength of limiting line of Paschen's series of H-spectra is :-

NTA AbhyasNTA Abhyas 2020

Solution:

limiting line of paschen's series $:\infty \rightarrow 3$
$\frac{1}{\lambda }=R\times Z^{2}\left(\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}\right)$
$\frac{1}{\lambda }=R\times 1\left(\frac{1}{9} - \frac{1}{\infty }\right)\Rightarrow \lambda =9\times \frac{1}{R}$
$\lambda =9\times 912$
$=8208\mathring{A} $