JEE Main & Advanced Physics Communication System / संचार तंत्र Question Bank Self Evaluation Test - Communication System

  • question_answer
    The maximum range for the tropospheric transmission of radio wave of wavelength 3m using the transmitting antenna and receiving antenna of heights \[100\,m\] and \[60\,m\] respectively is

    A) \[8\,m\]

    B) \[800\,m\]

    C) \[8\,km\]

    D)        \[80\,km\]

    Correct Answer: C

    Solution :

    [c] \[\lambda =3m,\,\,H=100m,\,\,h=60m\] Path difference between direct wave and wave obtained ofter reflection from earth surface is             \[\frac{2\pi }{\lambda }\left( \frac{2Hh}{d} \right)+\pi =2\pi \]             or  \[\left( \frac{4Hh}{\lambda d} \right)=1\]   or   \[d=\frac{4Hh}{\lambda d}\]             \[\Rightarrow \,\,\,\,\,\,d=\frac{4\times 100\times 60}{3}=8\times {{10}^{3}}\] or \[8\,km\]


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