JEE Main & Advanced Physics EM Waves Question Bank Self Evaluation Test - Electromagnetic Waves

  • question_answer
    The energy contained in a cylinder of cross- section\[10c{{m}^{2}}\]and length 50cm along the x-axis if electric field in an electromagnetic wave is given by \[E=50\,\sin \,\omega (t-x/c)\] is  

    A) \[1.2\times {{10}^{-10}}\,J\]

    B) \[5.5\times {{10}^{-12}}\,J\]

    C) \[2.3\times {{10}^{-10}}\,J\]

    D) \[3.6\times {{10}^{-12}}\,J\]

    Correct Answer: B

    Solution :

    [b] Energy density\[=\frac{1}{2}{{\varepsilon }_{0}}E_{0}^{2}=1.1\times {{10}^{-8}}\,J\,{{m}^{-3}}\] Volume of cylinder \[=A\times L=5\times {{10}^{-4}}{{m}^{3}}\] So, required energy\[=1.1\times {{10}^{-8}}\times 5\times {{10}^{-4}}\] \[=5.5\times {{10}^{-12}}J\]


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