Question

If \( \varepsilon_0 \) and \( \mu_0 \) represent permittivity and permeability of free space, then \( \frac{1}{\sqrt{\varepsilon_0 \mu_0}} \) represents which physical quantity?

Hint:

The relation \( c = \frac{1}{\sqrt{\varepsilon_0 \mu_0}} \) is fundamental in electromagnetism and defines the speed of light in vacuum.

Answer 1

Step 1: The speed of electromagnetic waves in free space is given by the formula: \[ c = \frac{1}{\sqrt{\varepsilon_0 \mu_0}} \] Step 2: The values of permittivity \( \varepsilon_0 \) and permeability \( \mu_0 \) in free space determine the propagation speed of light. \[ \therefore \text{The correct answer is the speed of light.} \] \[ \boxed{\text{Speed of light}} \]