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AP EAMCET · PHYSICS · Electromagnetic Waves

If \(\mathrm{E}_{\mathrm{O}}\) and \(\mathrm{B}_{\mathrm{o}}\) are the magnitudes of the electric and magnetic fields respectively of an electromagnetic wave in vacuum, then among the following the correct relation is
( \(\mu_0-\) permeability of free space, \(\varepsilon_0-\) permittivity of free space)

  1. A \(E_o=B_o \sqrt{\mu_o \varepsilon_o}\)
  2. B \(\mathrm{E}_{\mathrm{o}} \varepsilon_{\mathrm{o}}=\mathrm{B}_{\mathrm{o}} \mu_{\mathrm{o}}\)
  3. C \(\mathrm{E}_{\mathrm{o}} \sqrt{\varepsilon_{\mathrm{o}}}=\frac{\mathrm{B}_{\mathrm{o}}}{\sqrt{\mu_{\mathrm{o}}}}\)
  4. D \(\frac{\mathrm{E}_{\mathrm{o}}}{\sqrt{\varepsilon_{\mathrm{o}}}}=\frac{\mathrm{B}_{\mathrm{o}}}{\sqrt{\mu_{\mathrm{o}}}}\)
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Answer & Solution

Correct Answer

(C) \(\mathrm{E}_{\mathrm{o}} \sqrt{\varepsilon_{\mathrm{o}}}=\frac{\mathrm{B}_{\mathrm{o}}}{\sqrt{\mu_{\mathrm{o}}}}\)

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Detailed explanation

Speed of light is given as: \(\begin{gathered}E_o=c B_o \\ c=\frac{E_o}{B_o}\end{gathered}\) According to maxwell speed of light is given as…
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