AP EAMCET · PHYSICS · Communication System
The heights of tansmitting and receiving antennas are respectively \(\frac{1}{20000}\) and \(\frac{1}{80000}\) times the radius of the earth. The maximum distance between these two antennas for satisfactory communication in line of sight mode is (Radius of the earth \(=6.4 \times 10^6 \mathrm{~m}\) )
- A 48 km
- B 96 km
- C 320 km
- D 192 km
Answer & Solution
Correct Answer
(B) 96 km
Step-by-step Solution
Detailed explanation
\(d = \sqrt{2Rh_t} + \sqrt{2Rh_r}\) \(d = \sqrt{2R \left(\frac{R}{20000}\right)} + \sqrt{2R \left(\frac{R}{80000}\right)}\) \(d = \frac{R}{100} + \frac{R}{200} = \frac{3R}{200}\) \(d = \frac{3 \times 6.4 \times 10^6 \mathrm{~m}}{200} = 9.6 \times 10^4 \mathrm{~m}\)…
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