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

  • question_answer
    If the heights of transmitting and the receiving antennas are each equal to h, the maximum line- of-sight distance between them is (R is the radius of earth)

    A) \[\sqrt{2Rh}\]

    B) \[\sqrt{4Rh}\]

    C) \[\sqrt{6Rh}\]

    D) \[\sqrt{8Rh}\]

    Correct Answer: D

    Solution :

    [d] The maximum line-of-sight distance between the transmitting and receiving antennas is \[{{d}_{M}}=\sqrt{2R{{h}_{T}}}+\sqrt{2R{{h}_{R}}}\] where \[{{h}_{T}}\] and \[{{h}_{R}}\] are the heights of transmitting and receiving antennas respectively. \[\therefore \,\,\,\,\,\,\,\,{{d}_{M}}=\sqrt{2Rh}+\sqrt{2Rh}=2\sqrt{2Rh}=\sqrt{8Rh}\] \[(\because \,\,\,\,\,\,{{h}_{T}}={{h}_{R}}=h)\]


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