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Question

A transmitting antenna is at a height of $$20\ m$$ and receiving antenna is at a height of $$80\ m$$. The maximum distance between them for satisfactory communication is


A
16 km
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B
32 km
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C
48 km
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D
96 km
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Solution

The correct option is D $$48\ km$$
$${ d }_{ max }=\sqrt { 2R{ H }_{ T } } +\sqrt { 2R{ H }_{ R } } \\ { H }_{ T }=20m\\ { H }_{ R }=80m\\ \Rightarrow { d }_{ max }=\sqrt { \dfrac { 2\times 6400\times 20 }{ 1000 }  } +\sqrt { \dfrac { 2\times 6400\times 80 }{ 1000 }  } \approx 48km$$

Physics

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