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Physics-

General

Easy

Question

The refractive index and the permeability of a medium are respectively $blank 1.5 blank a n d blank 5 blank cross times blank 10 to the power of negative 7 end exponent H m to the power of negative 1 end exponent$ . The relative permittivity of the medium is nearly

25
15
81
6

The correct answer is: 6

Given refractive index
$n equals 1.5$
Permeability $mu subscript 0 end subscript equals blank 5 blank cross times blank 10 to the power of negative 7 end exponent$
$n equals square root of mu subscript r end subscript epsilon subscript r end subscript end root$
$epsilon subscript r end subscript equals fraction numerator n to the power of 2 end exponent over denominator mu subscript r end subscript end fraction$
or $rho blank equals blank fraction numerator n to the power of 2 end exponent mu subscript 0 end subscript over denominator mu end fraction open parentheses because mu subscript r end subscript equals fraction numerator mu over denominator mu subscript 0 end subscript end fraction close parentheses$
or $epsilon subscript r end subscript equals fraction numerator left parenthesis 1.5 right parenthesis to the power of 2 end exponent blank cross times blank 4 pi blank cross times blank 10 to the power of negative 7 end exponent over denominator 5 blank cross times blank 10 to the power of negative 7 end exponent end fraction$
or $epsilon subscript r end subscript equals 6$

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