A) 25
B) 15
C) 81
D) 10
E) 6
Correct Answer: E
Solution :
Given refractive index \[n=1.5\] Permeability \[{{\mu }_{0}}=5\times {{10}^{-7}}H{{m}^{-1}}\] \[n=\sqrt{{{\mu }_{r}}{{\varepsilon }_{r}}}\] \[{{\varepsilon }_{r}}=\frac{{{n}^{2}}}{{{\mu }_{r}}}\] Or \[{{\varepsilon }_{r}}=\frac{{{n}^{2}}{{\mu }_{0}}}{\mu }\] \[\left[ \because {{\mu }_{r}}=\frac{\mu }{{{\mu }_{0}}} \right]\] Or \[{{\varepsilon }_{r}}=\frac{{{(1.5)}^{2}}\times 4\pi \times {{10}^{-7}}}{5\times {{10}^{-7}}}\] Or \[{{\varepsilon }_{r}}=6\]
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