If an optical medium possesses a relative permeability of 10/π and… | JEE Main 2025 (4 Apr, Shift 2)

Q5JEE Main 2025 · 4 APR · SHIFT 2Easy

Speed of EM Waves in a Medium

If an optical medium possesses a relative permeability of $\frac{10}{\pi}$ and relative permittivity of $\frac{1}{0.0885}$ , then the velocity of light is greater in vacuum than that in this medium by _________ times. $\left(\mu_0 = 4\pi \times 10^{-7}\text{ H/m}, \epsilon_0 = 8.85 \times 10^{-12}\text{ F/m}, c = 3 \times 10^{8}\text{ m/s}\right)$

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

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Answer: 6

$\dfrac{c}{v} = \sqrt{\mu_r\varepsilon_r}$ .
$\mu_r\varepsilon_r = \dfrac{10}{\pi} \times \dfrac{1}{0.0885} = \dfrac{10}{0.278} \approx 36$ .
$\dfrac{c}{v} = \sqrt{36} = 6$ .
Answer: 6.

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