Skip to content
doubtly
Topic: EM waves, characteristics and transverse nature· Electromagnetic Waves

When light propagates through a material medium of relative permittivity ε_r and relative permeability μ_r, the velocity of light, v is given by : (c - velocity of light in vacuum)

1. \(v = \frac{c}{\sqrt{\epsilon_r \mu_r}}\)

2. \(v = c\)

3. \(v = \sqrt{\frac{\mu_r}{\epsilon_r}}\)

4. \(v = \sqrt{\frac{\epsilon_r}{\mu_r}}\)

1 answer

Best answer

Answer: 1. \(v = \frac{c}{\sqrt{\epsilon_r \mu_r}}\)

In a medium, \(v=\dfrac{1}{\sqrt{\mu\epsilon}}\) with \(\mu=\mu_0\mu_r\) and \(\epsilon=\epsilon_0\epsilon_r\).

Since \(c=\dfrac1{\sqrt{\mu_0\epsilon_0}}\), we get \(v=\dfrac{c}{\sqrt{\epsilon_r\mu_r}}\).

Option (1) is correct.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
Was this answer helpful?

Your answer

Log in or create a free account to answer this question.