A) \[\sqrt{{{\mu }_{0}}{{\varepsilon }_{0}}}\]
B) \[\sqrt{\frac{{{\mu }_{0}}}{{{\varepsilon }_{0}}}}\]
C) \[\sqrt{\frac{{{\varepsilon }_{0}}}{{{\mu }_{0}}}}\]
D) \[\frac{1}{\sqrt{{{\mu }_{0}}{{\varepsilon }_{0}}}}\]
Correct Answer: D
Solution :
The speed of light is exactly 299, 792, 458 m/s (approximately\[3\times {{10}^{8}}\]m/s). The value of c defines the permittivity of free space\[({{\varepsilon }_{0}})\]in SI units as \[{{\varepsilon }_{0}}=\frac{{{10}^{7}}}{4\pi {{c}^{2}}}\] The permeability of free space\[({{\mu }_{0}})\]ls not dependent on c and is defined in SI units as \[{{\mu }_{0}}=4\pi \times {{10}^{-7}}\] These constants appear in Maxwells equations and are related as \[c=\frac{1}{\sqrt{{{\mu }_{0}}{{\varepsilon }_{0}}}}\]
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