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TS EAMCET · Physics · Communication System

A TV transmitting antenna is \(128 \mathrm{~m}\), tall. If the receiving antenna is at the ground level, the maximum distance between, them for satisfactory communication in line of sight mode is (radius of the earth \(6.4 \times 10^6 \mathrm{~m}\) )

  1. A \(64 \times \sqrt{10} \mathrm{~km}\)
  2. B \(\frac{128}{\sqrt{10}} \mathrm{~km}\)
  3. C \(128 \times \sqrt{10} \mathrm{~km}\)
  4. D \(\frac{64}{\sqrt{10}} \mathrm{~km}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{128}{\sqrt{10}} \mathrm{~km}\)

Step-by-step Solution

Detailed explanation

Height of transmitting antenna \(d \approx \sqrt{2 R_e h_T}\) Given \(\begin{aligned} R_e & =6.4 \times 10^6 \mathrm{~m} \\ h_T & =128 \mathrm{~m} \\ d & =? \end{aligned}\) The maximum distance…
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