AP EAMCET · PHYSICS · Communication System
The radio horizon of the transmission of an antenna placed on \(20^{\text {th }}\) floor in a shopping mall, where the height of each floor is \(2 \mathrm{~m}\) is
(Radius of earth is \(6.4 \times 10^6 \mathrm{~m}\) )
- A \(22.6 \mathrm{~km}\)
- B \(45 \mathrm{~km}\)
- C \(36 \mathrm{~km}\)
- D \(67.5 \mathrm{~km}\)
Answer & Solution
Correct Answer
(A) \(22.6 \mathrm{~km}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \mathrm{H}_{\mathrm{r}}=20 \times 2=40 \mathrm{~m} \\ & \mathrm{~d}_{\mathrm{m}}=\sqrt{2 \mathrm{H}_{\mathrm{r}} \mathrm{R}}=\sqrt{2 \times 40 \times 6.4 \times 10^6}=22.6 \mathrm{~km}\end{aligned}\)
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