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Q.

The ratio of the shortest wavelength of two spectral series of hydrogen spectrum is found to be about 9. The spectral series are:

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a

Brackett and Pfund

b

Lyman and Paschen

c

Paschen and Pfund

d

Balmer and Brackett

answer is A.

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Detailed Solution

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For determined shortest wavelength,

$n_{2} = \infty$

For Lyman series, $\bar{ν_{L}} = \frac{1}{λ_{L}} = R [\frac{1}{{(1)}^{2}} - \frac{1}{\infty^{2}}]$

For Paschen series,

$\bar{v_{p}} = \frac{1}{λ_{P}} = R [\frac{1}{{(3)}^{2}} - \frac{1}{{^{\infty}}^{2}}] \frac{\bar{v_{L}}}{\bar{v_{P}}} = \frac{λ_{L}}{λ_{P}} = 9$

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The ratio of the shortest wavelength of two spectral series of hydrogen spectrum is found to be about 9. The spectral series are: