TS EAMCET · Physics · Electromagnetic Waves
The dielectric constant of a medium is 8 and its relative permeability is 200. If an electromagnetic wave of frequency 100 MHz travels in this medium, then its wavelength is
- A 5 m
- B 5 cm
- C 7.5 m
- D 7.5 cm
Answer & Solution
Correct Answer
(D) 7.5 cm
Step-by-step Solution
Detailed explanation
\( v = \frac{c}{\sqrt{\epsilon_r \mu_r}} = \frac{3 \times 10^8}{\sqrt{8 \times 200}} = \frac{3 \times 10^8}{40} = 7.5 \times 10^6 \, \text{m/s} \) \( \lambda = \frac{v}{f} = \frac{7.5 \times 10^6}{100 \times 10^6} = 0.075 \, \text{m} = 7.5 \, \text{cm} \)
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