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Q.

If the series limit frequency of the Lyman series is $ϑ_{1}$ , then series limit frequency of P-fund series is $\frac{ϑ_{1}}{5^{x}}$ . Find x.

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answer is 2.

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Detailed Solution

$v \propto [\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}]$

For Lyman series, $v_{1} \propto [\frac{1}{1} - \frac{1}{\infty}] \propto 1$

For Pfund series, $v_{2} \propto [\frac{1}{25} - \frac{1}{\infty}] \propto \frac{1}{25}$

$\Rightarrow ν_{2} = \frac{ν_{1}}{5^{2}}$

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