Medium MCQ +4 / -1 PYQ · JEE Mains 2022

A plane electromagnetic wave travels in a medium of relative permeability 1.61 and relative permittivity 6.44. If magnitude of magnetic intensity is 4.5 $\times$ 10$-$2 Am$-$1 at a point, what will be the approximate magnitude of electric field intensity at that point?

(Given : Permeability of free space $\mu$0 = 4$\pi$ $\times$ 10$-$7 NA$-$2, speed of light in vacuum c = 3 $\times$ 108 ms$-$1)

  1. A 16.96 Vm<sup>$-$1</sup>
  2. B 2.25 $\times$ 10<sup>$-$2</sup> Vm<sup>$-$1</sup>
  3. C 8.48 Vm<sup>$-$1</sup> Correct answer
  4. D 6.75 $\times$ 10<sup>6</sup> Vm<sup>$-$1</sup>

Solution

<p>H = 4.5 $\times$ 10<sup>$-$2</sup></p> <p>So B = $\mu$<sub>0</sub>$\mu$H</p> <p>Thus $E = {c \over n}B$ (where n $\Rightarrow$ refractive index)</p> <p>So $$E = {{3 \times {{10}^8} \times 4\pi \times {{10}^{ - 7}} \times 1.61 \times 4.5 \times {{10}^{ - 2}}} \over {\sqrt {1.61 \times 6.44} }}$$</p> <p>$E = 8.48$</p>

About this question

Subject: Physics · Chapter: Electromagnetic Waves · Topic: Properties of EM Waves

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