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AP EAMCET · PHYSICS · Communication System

The maximum distance between the transmitting and receiving antennas for satisfactory communication in line of sight mode is 57.6 km . If the height of the receiving antenna is 80 m , the height of the transmitting antenna is (Radius of earth \(=6.4 \times 10^6 \mathrm{~m}\) )

  1. A 28.8 m
  2. B 51.2 m
  3. C 25.6 m
  4. D 14.4 m
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Answer & Solution

Correct Answer

(B) 51.2 m

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Detailed explanation

\begin{aligned} & \text { Range }=57.6 \mathrm{~km}, \mathrm{~h}_{\mathrm{r}}=80 \mathrm{~m}, \mathrm{R}=6.4 \times 10^6 \mathrm{~m} \\ & \therefore \text { Range }=\sqrt{2 \mathrm{Rh}_{\mathrm{r}}}+\sqrt{2 \mathrm{Rh}_{\mathrm{t}}} \\ & \Rightarrow 57.6 \times 10^3=\sqrt{2…

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