A) \[\sqrt{\frac{\mu \varepsilon }{{{\mu }_{0}}{{\varepsilon }_{0}}}}\]
B) Insufficient information
C) \[\sqrt{\frac{{{\mu }_{0}}{{\varepsilon }_{0}}}{\mu \varepsilon }}\]
D) 1
Correct Answer: A
Solution :
: Refractive index of the medium is \[n=\frac{c(speed\,of\,light\,in\,vecuum)}{v(speed\,\,of\,\,light\,\,in\,medium)}\] But \[c=\frac{1}{\sqrt{{{\mu }_{0}}{{\varepsilon }_{0}}}}\] and \[v=\frac{1}{\sqrt{\mu \varepsilon }}\] \[\therefore \] \[n=\frac{\frac{1}{\sqrt{{{\mu }_{0}}{{\varepsilon }_{0}}}}}{\frac{1}{\sqrt{\mu \varepsilon }}}=\sqrt{\frac{\mu \varepsilon }{{{\mu }_{0}}{{\varepsilon }_{0}}}}\]
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