JEE Main & Advanced Physics Wave Optics / तरंग प्रकाशिकी Question Bank Critical Thinking

  • question_answer
    In an electromagnetic wave, the amplitude of electric field is 1 V/m. the frequency of wave is \[5\times {{10}^{14}}\,Hz\]. The wave is propagating along z-axis. The average energy density of electric field, in Joule/m3, will be

    A)            \[1.1\times {{10}^{-11}}\]      

    B)            \[2.2\times {{10}^{-12}}\]

    C)            \[3.3\times {{10}^{-13}}\]      

    D)            \[4.4\times {{10}^{-14}}\]

    Correct Answer: B

    Solution :

               Average energy density of electric field is given by \[{{u}_{e}}=\frac{1}{2}{{\varepsilon }_{0}}{{E}^{2}}=\frac{1}{2}{{\varepsilon }_{0}}{{\left( \frac{{{E}_{0}}}{\sqrt{2}} \right)}^{2}}=\frac{1}{4}{{\varepsilon }_{0}}E_{0}^{2}\] \[=\frac{1}{4}\times 8.85\times {{10}^{-12}}{{(1)}^{2}}=2.2\times {{10}^{-12}}J/{{m}^{3}}.\]


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