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AP EAMCET · PHYSICS · Communication System

If a transmitting antenna of height \(105 \mathrm{~m}\) is placed on a hill, then its coverage area is

  1. A \(4224 \mathrm{~km}^2\)
  2. B \(3264 \mathrm{~km}^2\)
  3. C \(6400 \mathrm{~km}^2\)
  4. D \(4864 \mathrm{~km}^2\)
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Answer & Solution

Correct Answer

(A) \(4224 \mathrm{~km}^2\)

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Detailed explanation

\begin{aligned} & \text { Coverage area } \mathrm{A}=\pi \mathrm{d}^2 \text { and } \mathrm{d}=\sqrt{2 R h} \\ & =\pi(\sqrt{2 R h})^2=\pi \times 2 R h \\ & \text { Here } h=105 \mathrm{~m}, R=6.4 \times 10^6 \mathrm{~m} \\ & \therefore \quad A=3.14 \times 2 \times 6.4 \times…

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