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An electromagnetic wave of frequency 5 GHz, is travelling in a medium whose relative electric permittivity and relative magnetic permeability both are 2. Its velocity in this medium is ________ × 10⁷ m s⁻¹.

Asked in JEE Main 24th Feb 1st Shift 2021 · Speed in vacuum and in a medium

Answer: 15

Step-by-step solution

n = √μᵣεᵣ = (2 × 2) = 2

v = c/n = 3 × 10⁸ / 2 = 1.5 × 10⁸ m s⁻¹ = 15 × 10⁷ m s⁻¹ (the 5 GHz is not needed)

→ 15

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