Atomic StructureHard

Question

What is the wave number of the radiation of lowest frequency in the Lyman series of the spectrum of Li2+ ion?

Options

A.$\frac{4}{27R}$
B.$\frac{27R}{4}$
C.$\frac{27RC}{4}$
D.$\frac{4C}{27R}$

Solution

For lowest frequency in Lyman series, the transition is 2 → 1.

$\bar{\upsilon} = Rz^{2}\left( \frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}} = R \times 3^{2} \right)\left( \frac{1}{1^{2}} - \frac{1}{2^{2}} \right) = \frac{27R}{4}$

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