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BITSAT 2011
Exam
BITSAT
Year
2011
Subject
Physics
Chapter
Electromagnetic Waves

BITSAT 2011 · Physics · Electromagnetic Waves

An electromagnetic wave passes through space and its equation is...

An electromagnetic wave passes through space and its equation is given by E=E0sin⁡(ωt−kx)\mathrm{E}=\mathrm{E}_{0} \sin (\omega \mathrm{t}-\mathrm{kx}) where E\mathrm{E} is electric field. Energy density of electromagnetic wave in space is

Options

  1. A12ε0E02\frac{1}{2} \varepsilon_{0} \mathrm{E}_{0}^{2}
  2. B14ε0E02\frac{1}{4} \varepsilon_{0} \mathrm{E}_{0}^{2}
  3. Cε0E02\varepsilon_{0} \mathrm{E}_{0}^{2}
  4. D2ε0E022 \varepsilon_{0} \mathrm{E}_{0}^{2}

Correct answer

A. 12ε0E02\frac{1}{2} \varepsilon_{0} \mathrm{E}_{0}^{2}

Step-by-step solution

Energy density =\varepsilon_{0} \mathrm{E}_{\mathrm{rm}^{2}=\varepsilon_{0}\left(\frac{\mathrm{E}_{0}}{\sqrt{2}}\right)^{2}=\frac{1}{2} \varepsilon_{0} \mathrm{E}_{0}^{2}
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