A) \[\frac{5}{8}\]
B) \[\frac{4}{5}\]
C) \[\frac{5}{4}\]
D) \[\frac{4}{7}\]
Correct Answer: C
Solution :
\[l={{n}_{e}}A{{v}_{d}}\] \[\therefore \] \[\frac{{{l}_{e}}}{{{l}_{n}}}=\frac{{{n}_{e}}\times {{({{v}_{d}})}_{e}}}{{{n}_{h}}\times {{({{v}_{d}})}_{h}}}\] \[(\because {{A}_{1}}={{A}_{2}})\] Here \[\frac{{{n}_{e}}}{{{n}_{h}}}=\frac{7}{5},\frac{{{l}_{e}}}{{{l}_{h}}}=\frac{7}{4}\] \[\therefore \] \[\frac{7}{4}=\frac{7}{5}\times \frac{{{({{v}_{d}})}_{e}}}{{{({{v}_{d}})}_{h}}}\] \[\Rightarrow \] \[\frac{{{({{v}_{d}})}_{e}}}{{{({{v}_{d}})}_{h}}}=\frac{5}{7}\times \frac{7}{4}=\frac{5}{4}\]
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