Question

Unit of \( \frac{1}{\mu_0 \epsilon_0} \) is:

• A. \( \frac{m^2}{s^2} \)
• B. \( \frac{m}{s} \)
• C. \( \frac{s^2}{m^2} \)
• D. \( \frac{s}{m} \)

Hint:

The value \( \frac{1}{\mu_0 \epsilon_0} \) is related to the speed of light, and its units are derived from the speed of light formula.

Answer 1

The Correct Option is C

Step 1: Understanding the units.
The quantity \( \mu_0 \) is the permeability of free space, and \( \epsilon_0 \) is the permittivity of free space. The value of \( \frac{1}{\mu_0 \epsilon_0} \) is related to the speed of light. The SI units of this quantity come out to be \( \frac{s^2}{m^2} \).

Step 2: Conclusion.
The correct unit for \( \frac{1}{\mu_0 \epsilon_0} \) is \( \frac{s^2}{m^2} \), so the correct answer is (.