A) \[\frac{4}{3\times 10967}cm\]
B) \[\frac{3}{4\times 10967}cm\]
C) \[\frac{4\times 10967}{3}cm\]
D) \[\frac{3}{4}\times 10967\ cm\]
Correct Answer: A
Solution :
\[\frac{1}{\lambda }={{R}_{H}}\left[ \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right].\] For Lyman series n1=1 and n2=2, 3, 4, When n2=2, we get \[\lambda =\frac{4}{3{{R}_{H}}}=\frac{4}{3\times 10967}cm\]
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