A) \[\frac{17}{8}\]
B) \[\frac{15}{8}\]
C) \[\frac{13}{8}\]
D) \[\frac{9}{8}\]
Correct Answer: B
Solution :
\[\frac{{{f}_{l}}}{{{f}_{a}}}=\frac{_{a}{{\mu }_{g}}-1}{_{l}{{\mu }_{g}}-1}\] Þ \[\frac{-0.5}{0.2}=\frac{1.5-1}{_{l}{{\mu }_{g}}-1}\] Þ \[_{l}{{\mu }_{g}}-1=-0.2\] Þ \[_{l}{{\mu }_{g}}=0.8=\frac{4}{5}\] Þ \[\frac{_{a}{{\mu }_{g}}}{_{a}{{\mu }_{l}}}=\frac{4}{5}\] Þ \[\frac{1.5}{_{a}{{\mu }_{l}}}=\frac{4}{5}\] Þ \[_{a}{{\mu }_{l}}=\frac{15}{8}\].
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