Question

Which one of the following shows the CORRECT relationship among velocity of light in a medium (\( v \)), permittivity of medium (\( \varepsilon \)) and magnetic permeability of medium (\( \mu \))?

• A. \( v = \frac{1}{\mu \varepsilon} \)
• B. \( v = \frac{1}{\mu \varepsilon^2} \)
• C. \( v = \frac{1}{\mu \varepsilon}^2 \)
• D. \( v = \frac{1}{\sqrt{\mu \varepsilon}} \)

Hint:

The speed of light in a medium depends on both the permittivity and permeability of the medium. The formula \( v = \frac{1}{\sqrt{\mu \varepsilon}} \) describes this relationship.

Answer 1

The Correct Option is D

Step 1: Understanding the relationship between velocity, permittivity, and permeability.
The velocity of light in a medium is related to the permittivity (\( \varepsilon \)) and permeability (\( \mu \)) of the medium by the formula: \[ v = \frac{1}{\sqrt{\mu \varepsilon}} \] where \( \mu \) is the magnetic permeability and \( \varepsilon \) is the permittivity of the medium.

Step 2: Conclusion.
The correct answer is (D) \( v = \frac{1}{\sqrt{\mu \varepsilon}} \).