Question

If \( \epsilon_0 \) and \( \mu_0 \) represent the permittivity and permeability of vacuum and \( \epsilon \) and \( \mu \) represent the permittivity and permeability of medium, then refractive index of the medium is given by

• A. \( \frac{\epsilon}{\epsilon_0} \)
• B. \( \frac{\mu}{\mu_0} \)
• C. \( \sqrt{\frac{\epsilon}{\epsilon_0}} \)
• D. \( \sqrt{\frac{\mu}{\mu_0}} \)

Hint:

Refractive index is related to the permeability and permittivity of the medium.

Answer 1

The Correct Option is B

Step 1: Understanding refractive index.
The refractive index \( n \) of a medium is given by the ratio of the speed of light in vacuum to the speed of light in the medium. The relationship involving permittivity and permeability gives the refractive index as \( n = \sqrt{\frac{\mu}{\mu_0}} \).

Step 2: Conclusion.
The refractive index is \( \frac{\mu}{\mu_0} \), which corresponds to option (2).