A) \[912\overset{\text{o}}{\mathop{\text{A}}}\,\]
B) \[912\times 2\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
C) \[912\times 4\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
D) \[\frac{912}{2}\,\overset{\text{o}}{\mathop{\text{A}}}\,\]
Correct Answer: C
Solution :
For series limit of Balmer series \[{{n}_{2}}=2,{{n}_{1}}=\infty \] \[\frac{1}{\lambda }=R\left[ \frac{1}{n_{2}^{2}}-\frac{1}{n_{1}^{2}} \right]\] \[=\left[ \frac{1}{{{(2)}^{2}}}-\frac{1}{{{(\infty )}^{2}}} \right]=\frac{R}{4}\] \[\therefore \] \[\lambda =\frac{4}{R}\] \[=\frac{4}{10967800}m\] \[=4\times 912\times {{10}^{-10}}m\] \[=4\times 912{AA}\]
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