A) \[\frac{3}{16}\times {{10}^{5}}\]
B) \[\frac{3}{16}\times {{10}^{15}}\]
C) \[\frac{9}{16}\times {{10}^{15}}\]
D) \[\frac{3}{4}\times {{10}^{15}}\]
Correct Answer: C
Solution :
Frequency, \[v=\frac{c}{\lambda }=c.R\left( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right)\] \[=3\times {{10}^{8}}\times {{10}^{7}}\left( \frac{1}{{{2}^{2}}}-\frac{1}{{{4}^{2}}} \right)\] \[=\frac{9}{16}\times {{10}^{5}}\text{Hz}\]
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