If R is the Rydberg constant for hydrogen, the wave number of the first line in the Lyman series is

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$\frac{3 R}{4}$

$\frac{R}{4}$

$\frac{R}{2}$

answer is D.

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Detailed Solution

We have $\frac{1}{λ} = R [\frac{1}{1^{2}} - \frac{1}{2^{2}}]$ or $\frac{1}{λ} = R [1 - \frac{1}{4}] o r \frac{1}{λ} = \frac{3 R}{4}$ wave number $\bar{υ} = \frac{3 R}{4}$

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