The dielectric constant of a medium is 8 and | vedclass

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(D) The speed of an electromagnetic wave in a medium is given by $v = \frac{1}{\sqrt{\mu \epsilon}} = \frac{1}{\sqrt{\mu_0 \mu_r \epsilon_0 \epsilon_r

Vedclass · Accepted Answer

$7.5 	ext{ cm}$

Vedclass · Answer

(D) The speed of an electromagnetic wave in a medium is given by $v = \frac{1}{\sqrt{\mu \epsilon}} = \frac{1}{\sqrt{\mu_0 \mu_r \epsilon_0 \epsilon_r}}$.Since $c = \frac{1}{\sqrt{\mu_0 \epsilon_0}} = 3 	imes 10^8 	ext{ m/s}$,we can write $v = \frac{c}{\sqrt{\mu_r \epsilon_r}}$.Given $\epsilon_r = 8$ and $\mu_r = 200$,the refractive index $n = \sqrt{\mu_r \epsilon_r} = \sqrt{200 	imes 8} = \sqrt{1600} = 40$.Thus,the speed $v = \frac{3 	imes 10^8}{40} = 0.075 	imes 10^8 = 7.5 	imes 10^6 	ext{ m/s}$.The wavelength $\lambda$ is given by $\lambda = \frac{v}{f}$.Given $f = 100 	ext{ MHz} = 10^8 	ext{ Hz}$.Therefore,$\lambda = \frac{7.5 	imes 10^6}{10^8} = 7.5 	imes 10^{-2} 	ext{ m} = 7.5 	ext{ cm}$.

The dielectric constant of a medium is $8$ and its relative permeability is $200$. If an electromagnetic wave of frequency $100 \text{ MHz}$ travels in this medium,then its wavelength is

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