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TS EAMCET · Physics · Communication System

The height of a transmission antenna is \(49 \mathrm{~m}\) and that of the receiving antenna is \(64 \mathrm{~m}\). What should be the maximum distance between them for line of sight transmission?

  1. A \(50.1 \mathrm{~km}\)
  2. B \(53.6 \mathrm{~km}\)
  3. C \(43.6 \mathrm{~km}\)
  4. D \(65.2 \mathrm{~km}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(53.6 \mathrm{~km}\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} d_{\max } & =\sqrt{2 r h_T}+\sqrt{2 r h_r} \\ h_T & =49 \mathrm{~m}, h_p=64 \mathrm{~m}, \\ r & =6400 \mathrm{~km} \end{aligned}\) So, maximum distance (in \(\mathrm{km}\) ) is…
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