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 (\( \mu \))?
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 (\( \mu \))?
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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.
Updated On: Dec 11, 2025
- \( v = \frac{1}{\mu \varepsilon} \)
- \( v = \frac{1}{\mu \varepsilon^2} \)
- \( v = \frac{1}{\mu \varepsilon}^2 \)
- \( v = \frac{1}{\sqrt{\mu \varepsilon}} \)
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The Correct Option is D
Solution and Explanation
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) \( v = \frac{1}{\sqrt{\mu \varepsilon}} \).
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