A) \[\frac{2}{9}\lambda \]
B) \[\frac{9}{2}\lambda \]
C) \[\frac{5}{27}\lambda \]
D) \[\frac{27}{5}\lambda \]
Correct Answer: D
Solution :
| [d] For first line in Lyman series \[{{\lambda }_{{{L}_{1}}}}=\frac{4}{3\ R}\] |
| For first line in Balmer series \[{{\lambda }_{{{B}_{1}}}}=\frac{36}{5\ R}\] |
| 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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