JEE Main & Advanced Physics Wave Optics / तरंग प्रकाशिकी Question Bank EM Waves

  • question_answer
    A radio receiver antenna that is 2 m long is oriented along the direction of the electromagnetic wave and receives a signal of intensity\[5\times {{10}^{-16}}W/{{m}^{2}}\]. The maximum instantaneous potential difference across the two ends of the antenna is

    A)            1.23 mV                                   

    B)            1.23 mV

    C)            1.23 V                                      

    D)            12.3 mV

    Correct Answer: A

    Solution :

                       \[I=\frac{1}{2}{{\varepsilon }_{0}}CE_{0}^{2}\] Þ \[{{E}_{0}}=\sqrt{\frac{2I}{{{\varepsilon }_{0}}C}}=\sqrt{\frac{2\times 5\times {{10}^{-16}}}{8.85}}=0.61\times {{10}^{-6}}\frac{V}{m}\] Also \[{{E}_{0}}=\frac{{{V}_{0}}}{d}\] Þ \[{{V}_{0}}={{E}_{0}}d=0.61\times {{10}^{-6}}\times 2=1.23\mu V\]


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