A) 825\[\overset{o}{\mathop{\text{A}}}\,\]
B) 900\[\overset{o}{\mathop{\text{A}}}\,\]
C) 1215\[\overset{o}{\mathop{\text{A}}}\,\]
D) 1325\[\overset{o}{\mathop{\text{A}}}\,\]
Correct Answer: C
Solution :
\[\frac{1}{{{\lambda }_{2}}}=R\left( \frac{1}{{{1}^{2}}}-\frac{1}{{{3}^{2}}} \right)\] \[\frac{1}{{{\lambda }_{1}}}=R\left( \frac{1}{{{1}^{2}}}-\frac{1}{{{2}^{2}}} \right)\] \[\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}=\frac{\left( 1-\frac{1}{9} \right)}{\left( 1-\frac{1}{4} \right)}\] Or \[{{\lambda }_{1}}=\frac{8\times 4}{9\times 3}\times 1025\] \[{{\lambda }_{1}}=1215\overset{o}{\mathop{\text{A}}}\,\]
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