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The wavelength of a spectral line emitted by hydrogen atom in the Lyman series is 16/15R cm. The value of n if R is Rydberg constant

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answer is D.

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Detailed Solution

For the Lyman series, n₁ is 1.

$\frac{1}{λ} = R [\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}] \frac{15 R}{16} = R [\frac{1}{1^{2}} - \frac{1}{n_{2}^{2}}] \frac{1}{n_{2}^{2}} = \frac{1}{16} n_{2} = 4$

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