Q.

The refractive index and the permeability of a medium are respectively 43 and 4×10−7Hm−1 . The relative permittivity of the medium is _______

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answer is 0005.58.

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Detailed Solution

Refractive index ,  n=CVWhere ‘C’ is velocity of light in vacuum and ‘V’ is velocity of light in mediumV=Cn=3×1084/3=94×108 = 2.25×108m/sHere,μ=4×10−7Hm We know, V=1μ∈=1μ∈0∈r ⇒∈r=1V2μ∈0=1(2.25×108)2×4×10−7×8.85×10−12=5.58
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