TS EAMCET · Physics · Communication System
A transmitting and receiving antenna have height of \(d\) metres each. The maximum distance between them for satisfactory communication in Line-of-Sight mode (LOS) is \(2 d\) kilometers. If the radius of earth is \(6400 \mathrm{~km}\), then the value of \(d\) is
- A \(3.2 \mathrm{~m}\)
- B \(6.4 \mathrm{~m}\)
- C \(12.8 \mathrm{~m}\)
- D \(16.0 \mathrm{~m}\)
Answer & Solution
Correct Answer
(C) \(12.8 \mathrm{~m}\)
Step-by-step Solution
Detailed explanation
For satisfactory communication, maximum distance \(d_{\max }=\sqrt{2 R h_1}+\sqrt{2 R h_2}\) Given, \(\quad d_{\max }=2 d(\mathrm{~km})\) and \(h_1=h_2=d(\mathrm{~m})\) From Eqs. (i) and (ii), we get \(2 d=\sqrt{2 R h_1}+\sqrt{2 R h_2}\) Substituting values in Eq. (iii) we get…
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