Question

Electromagnetic waves travel in a medium with speed \( 1.5 \times 10^8 \) m/s. The relative permeability of the medium is \( 2.0 \). The relative permittivity will be:

• A. 5
• B. 1
• C. 4
• D. 2

Hint:

The speed of light in any medium is given by \( v = \frac{c}{\sqrt{\mu_r \varepsilon_r}} \), where \( \mu_r \) and \( \varepsilon_r \) are the relative permeability and permittivity.

Answer 1

The Correct Option is D

Step 1: {Using the Speed of Light Formula}
\[ v = \frac{c}{\sqrt{\mu_r \varepsilon_r}} \] Step 2: {Solving for \( \varepsilon_r \)}
\[ 1.5 \times 10^8 = \frac{3 \times 10^8}{\sqrt{2 \varepsilon_r}} \] \[ \sqrt{2 \varepsilon_r} = 2 \] \[ \varepsilon_r = 2 \] Thus, the correct answer is \( 2 \).