A) \[15.66\times {{10}^{10}}Hz\]
B) \[24.66\times {{10}^{14}}Hz\]
C) \[30.57\times {{10}^{14}}Hz\]
D) \[40.57\times {{10}^{24}}Hz\]
Correct Answer: B
Solution :
\[v=\frac{1}{\lambda }=R\left[ \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right]=109678\left[ \frac{1}{1}-\frac{1}{4} \right]=82258.5\] \[\lambda =1.21567\times {{10}^{-5}}cm\ \ \ \text{or}\ \ \ \lambda =12.1567\times {{10}^{-6}}cm\] \[=12.1567\times {{10}^{-8}}\,m\] \[v=\frac{c}{\lambda }=\frac{3\times {{10}^{8}}}{12.567\times {{10}^{-8}}}=24.66\times {{10}^{14}}Hz\].
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