The electromagnetic waves travel in a medium at a speed of 2 . 0 × 10 ^ 8 m s ^ - 1 . The relative permeability of the medium is 1 . 0 . The relative permittivity of the medium will be

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Correct answer: A. 2 . 25

Here, v = 2 × 10 ^ 8 m s ^ - 1 and μ _ r = 1 The speed of electromagnetic waves in a medium is given by v = 1 με . .. (i) where μ and ε are absolute permeability and absolute permittivity of the medium. Now, μ = μ _ 0 μ _ r and ε = ε _ 0 ε _ r Then, we have, v = 1 μ _ 0 μ _ r × ε _ 0 ε _ r = 1 μ _ 0 ε _ 0 × 1 μ _ r ε _ r = c μ _ r ε _ r or ε _ r = c ^ 2 v ^ 2 μ _ r = (3 × 10 ^ 8 ) ^ 2 (2 × 10 ^ 8 ) ^ 2 = (9)/(4) = 2 . 25

The electromagnetic waves travel in a medium at a speed of 2 . 0 ×...

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