(a) For Lyman series, $n_{1} = 1,\ n_{2} = \infty$ $\frac{1}{\lambda} = R\left( \frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}} \right) = R\left( \frac{1}{1^{2}} - \frac{1}{\infty} \right) = R$
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