A) \[\frac{2}{9}\,\lambda \]
B) \[\frac{9}{2}\,\lambda \]
C) \[\frac{5}{27}\,\lambda \]
D) \[\frac{27}{5}\lambda \]
Correct Answer: D
Solution :
For first line in Lyman series \[{{\lambda }_{{{L}_{1}}}}=\frac{4}{3\ R}\] ..... (i) For first line in Balmer series \[{{\lambda }_{{{B}_{1}}}}=\frac{36}{5\ R}\] ..... (ii) From equation (i) and (ii) \[\frac{{{\lambda }_{{{B}_{1}}}}}{{{\lambda }_{{{L}_{1}}}}}=\frac{27}{5}\Rightarrow {{\lambda }_{{{B}_{1}}}}=\frac{27}{5}{{\lambda }_{{{L}_{1}}}}\Rightarrow {{\lambda }_{{{B}_{1}}}}=\frac{27}{5}\lambda \]
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