A) \[\sqrt{\frac{\mu \varepsilon }{\mu {{ }_{0}}{{\varepsilon }_{0}}}}\]
B) \[\frac{\mu {{ }_{0}}{{\varepsilon }_{0}}}{\sqrt{\mu \varepsilon }}\]
C) \[\frac{\sqrt{\mu {{ }_{0}}{{\varepsilon }_{0}}}}{\mu \varepsilon }\]
D) \[\sqrt{\frac{\mu {{ }_{0}}{{\varepsilon }_{0}}}{\mu \varepsilon }}\]
Correct Answer: A
Solution :
Speed in medium \[{{c}_{M}}=\frac{1}{\sqrt{\mu \varepsilon }}\] Speed in vacuum \[\mu =\frac{{{c}_{0}}}{{{c}_{M}}}=\sqrt{\frac{\mu \varepsilon }{{{\mu }_{0}}{{\varepsilon }_{0}}}}\] \[\therefore \] Refractive index \[\mu =\frac{{{c}_{o}}}{{{c}_{M}}}=\sqrt{\frac{\mu \varepsilon }{{{\mu }_{0}}{{\varepsilon }_{0}}}}\] \[=\sqrt{\frac{\mu \varepsilon }{{{\mu }_{0}}{{\varepsilon }_{0}}}}\]
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