When a capacitor of capacitance \( C \) after charging with a charge \( Q \) is connected to ind...

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When a capacitor of capacitance \( C \) after charging with a charge \( Q \) is connected to inductor of self inductance \( L \), the oscillations of charge takes place with time between the two plates of capacitor. If one plate of capacitor is connected to antenna and other plate is earthed, then electromagnetic waves are produced, which are sinusoidal variation of electric and magnetic field vectors, perpendicular to each other as well as perpendicular to the direction of propagation of wave. The velocity of these waves depends upon the electric and magnetic properties of the medium.
The electromagnetic waves were produced experimentally by Hertz in 1888 using Hertz Oscillator, which were of wavelength \( 6 \mathrm{~m} \). Jagdish chander Bose in 1895 produced these waves which were of wave length \( 5 \mathrm{~mm} \) to \( 25 \mathrm{~mm} \) and in 1896, G. Marconi established a \( 50 \mathrm{~km} \) apart using electromagnetic waves.
In an electromagnetic wave, the amplitude of electric field is \( 10 \mathrm{Vm}^{-1} \). The frequency of wave is \( 5 \times 10^{14} \mathrm{~Hz} \). The wave is propagating along \( z \)-axis.
If \( \mu_{0}, \mu_{r}, \epsilon_{0} \) and \( \epsilon_{r} \) as the absolute permeability, relative permeability, absolute permittivity and relative permittivity of the medium, then the velocity of electromagnetic wave in a medium is
(A) \( \frac{1}{\sqrt{\mu_{0} \epsilon_{0}}} \)
(B) \( \frac{1}{\sqrt{\mu_{r} \epsilon_{r}}} \)
(C) \( \frac{1}{\sqrt{\mu_{0} \epsilon_{0} \mu_{r} \epsilon_{r}}} \)
(D) \( \sqrt{\frac{\mu_{r} \epsilon_{r}}{\mu_{0} \epsilon_{0}}} \)
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