JEE Main & Advanced Sample Paper JEE Main - Mock Test - 32

  • question_answer
    The rms value of the electric field of the light coming from the Sun is 720 N/C. The average total energy density of the electromagnetic wave is

    A) \[6.37\times {{10}^{-\,9}}\,J/{{m}^{3}}\]       

    B) \[81.35\times {{10}^{-12}}\,J/{{m}^{3}}\]

    C) \[3.3\times {{10}^{-\,3}}\,J/{{m}^{3}}\]         

    D) \[4.58\times {{10}^{-\,6}}\,J/{{m}^{3}}\]

    Correct Answer: D

    Solution :

    Average energy density \[^{V}AV=\frac{1}{2}{{\varepsilon }_{0}}E_{0}^{2}=\frac{1}{2}{{\varepsilon }_{0}}{{({{\sqrt{2E}}_{rms}})}^{2}}={{\varepsilon }_{0}}{{E}^{2}}_{rms}\] \[=8.85\times {{10}^{-12}}\,{{(720)}^{2}}=4.58\times 1{{0}^{-6}}J/{{m}^{3}}\]


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