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The electromagnetic waves travel in a medium at a speed of  \mathrm{2.0\times10^{8}m/s}. The relative permeability of the medium is \mathrm{1.0} . The relative permitivity of the medium will be :

Option: 1

\mathrm{2.25}


Option: 2

\mathrm{4.25}


Option: 3

\mathrm{6.25}


Option: 4

\mathrm{8.25}


Answers (1)

best_answer

\mathrm{V=2 \times 10^{8} \mathrm{~m} / \mathrm{s}}\\

\mathrm{\mu_{r}=1}\\

\mathrm{\varepsilon_{r}=?}

\mathrm{\frac{C}{\sqrt{\mu_{r} \varepsilon_{r}}}=V} \\

\mathrm{\frac{3 \times 10^{8}}{\sqrt{\mu_{r} \varepsilon _{r}}}=2 \times 10^{8}} \\

\mathrm{\frac{3}{2}=\sqrt{\mu_{r} \varepsilon_{r}}} \\

\mathrm{\frac{9}{4}=1 \times \varepsilon _{r}} \\

\mathrm{\varepsilon_{r}=2.25}

Hence the correct answer is option 1.

Posted by

Divya Prakash Singh

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