A plane electromagnetic wave travelling in non-magnetic medium is given by where is in metre and is in seconds. The dielectric constant of the medium is

Question

A plane electromagnetic wave travelling in non-magnetic medium is given by

$E = (9 \times 10^{8} N C^{- 1}) \sin [(9 \times 10^{8} r a d s^{- 1}) t - (6 m^{- 1}) x]$

where $x$ is in metre and $t$ is in seconds. The dielectric constant of the medium is ________

Smart Achievers · Accepted Answer

(4)

$V = \frac{ω}{k} = \frac{9 \times 10^{8}}{6} = 1.5 \times 10^{8} m / s,$

$Refractive index μ = \frac{C}{V} \Rightarrow \sqrt{K} = \frac{3 \times 10^{8}}{1.5 \times 10^{8}}$

$∴$ $K = 4$

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