A) \[\sqrt{\frac{{{\mu }_{o}}{{\varepsilon }_{o}}}{\mu \varepsilon }}\]
B) \[{{\left( \frac{{{\mu }_{o}}{{\varepsilon }_{o}}}{\mu \varepsilon } \right)}^{3/2}}\]
C) \[\sqrt{\frac{\mu \varepsilon }{{{\mu }_{o}}{{\varepsilon }_{o}}}}\]
D) \[\frac{{{\mu }_{o}}{{\varepsilon }_{o}}}{\mu \varepsilon }\]
Correct Answer: C
Solution :
\[{{\mu }_{0}}\] is called permeability of free space and \[{{\varepsilon }_{0}}\]is called permittivity of free space. From Huygens wave theory \[n=\frac{speed\text{ }of\text{ }light\text{ }in\text{ }vacuum\text{ }\left( c \right)}{speed\text{ }of\text{ }light\text{ }in\text{ }medium\text{ }\left( v \right)}\] Since, \[c=\frac{1}{\sqrt{{{\mu }_{0}}{{\varepsilon }_{0}}}},\,v=\frac{1}{\mu \varepsilon }\] \[\therefore \] \[n=\sqrt{\frac{\mu \varepsilon }{{{\mu }_{0}}{{\varepsilon }_{0}}}}\]
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