In a medium with relative permeability and relative permittivity

PHYSICS · Single correct · CBSE · Physics · Electromagnetic Waves · Electromagnetic Waves

Problem

In a medium with relative permeability μr=4μ_r = 4 and relative permittivity εr=9ε_r = 9, the electric field is described by E(x,t)=150sin⁡(1.5×107x−ωt) N C−1E(x,t)=150 \sin(1.5\times10^{7} x - ω t)\,\text{N C}^{-1}. Calculate the angular frequency ωω (in rad s⁻¹) required so that the expression represents a plane electromagnetic wave propagating in that medium. (c=3.0×108 m s−1c=3.0\times10^{8}\,\text{m s}^{-1}) (a) 1.5×10151.5\times10^{15} (b) 4.5×10154.5\times10^{15} (c) 7.5×10147.5\times10^{14} (d) 1.3×10141.3\times10^{14}

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