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JEE Main & Advanced JEE Main Paper (Held On 10-Jan-2019 Morning)

  • question_answer
    A TV transmission tower has a height of 140 m and the height of the receiving antenna is 40 m. What is the maximum distance upto which signals can be broadcasted from this tower is LOS (Line of Sight) mode? (Given: radius of earth \[=\text{ }6.4\times {{10}^{6}}m)\]. [JEE Main Online Paper (Held On 10-Jan-2019 Morning]

    A) 40 km                          

    B) 65 km

    C) 48 km              

    D)   80 km

    Correct Answer: B

    Solution :

    \[d\,\,=\,\sqrt{2R{{h}_{T}}}\,+\,\sqrt{2R{{h}_{R}}}\,=\,\sqrt{2R}\,(\sqrt{{{h}_{T}}}\,+\,\sqrt{{{h}_{R}}})\] \[d\,\,=\,\sqrt{2\times 6400\times {{10}^{3}}}\,(\sqrt{140}+\sqrt{40})\,=\,65\,km\]


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