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JEE Main 2021 (24 Feb, Shift 1) · Speed of EM Waves in a Medium

Speed of EM Waves in a Medium question from JEE Main 2021 (24 Feb, Shift 1)

Q18JEE Main 2021 · 24 FEB · SHIFT 1Easy

Speed of EM Waves in a Medium

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 ____________ $\times$ 107 m/s.

Numerical answer type. Work it out, then open the answer.

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Answer: 15

$v = \dfrac{c}{\sqrt{\mu_r\varepsilon_r}} = \dfrac{3 \times 10^{8}}{\sqrt{2 \times 2}}$ (frequency does not matter).
$v = 1.5 \times 10^{8} = 15 \times 10^{7}$ m/s.
Answer: 15.

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