Easy MCQ +4 / -1 PYQ · JEE Mains 2021

Intensity of sunlight is observed as 0.092 Wm$-$2 at a point in free space. What will be the peak value of magnetic field at the point?

(${\varepsilon _0} = 8.85 \times {10^{ - 12}}{C^2}{N^{ - 1}}{m^{ - 2}}$)

  1. A 2.77 $\times$ 10<sup>$-$8</sup> T Correct answer
  2. B 1.96 $\times$ 10<sup>$-$8</sup> T
  3. C 8.31 T
  4. D 5.88 T

Solution

${I \over C} = {1 \over 2}{\varepsilon _0}.E_0^2$<br><br>$\Rightarrow {E_0} = \sqrt {{{2I} \over {C{\varepsilon _0}}}}$<br><br>${{{E_0}} \over {{B_0}}} = C \Rightarrow {B_0} = {{{E_0}} \over C}$<br><br>$$ \Rightarrow {B_0} = \sqrt {{{2I} \over {{\varepsilon _0}{C^3}}}} = \sqrt {{{2 \times 0.092} \over {8.85 \times {{10}^{ - 12}} \times 27 \times {{10}^{ + 24}}}}} $$<br><br>$= 2.77 \times {10^{ - 8}}$ T

About this question

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

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