CUET · PHYSICS · PYQ PAPER 2023
What is the relative permittivity of a medium of relative permeability \( \mu_r = 1.0 \) in which an electromagnetic wave travels at a speed of \( v = 2 \times 10^8 \, \text{m s}^{-1} \)?
- A \( 1.5 \)
- B \( 0.44 \)
- C \( 2.25\)
- D \( 0.67\)
Answer & Solution
Correct Answer
(C) \( 2.25\)
Step-by-step Solution
Detailed explanation
\( v = \frac{c}{\sqrt{\mu_r \varepsilon_r}} \) \( \varepsilon_r = \frac{1}{\mu_r} \left(\frac{c}{v}\right)^2 \) \( \varepsilon_r = \frac{1}{1.0} \left(\frac{3 \times 10^8}{2 \times 10^8}\right)^2 \) \( \varepsilon_r = (1.5)^2 = 2.25 \)
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