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CUET · PHYSICS · PYQ PAPER 2023

A transmitting antenna at the top of a tower has a height 32 m and the height of the receiving antenna is 50 m. What is the maximum distance between them for satisfactory communication in LOS mode? Given radius of earth \(= 6.4 \times 10^6\) m.

  1. A 22.75 km
  2. B 45.5 km
  3. C 91.0 km
  4. D 182.0 km
Verified Solution

Answer & Solution

Correct Answer

(B) 45.5 km

Step-by-step Solution

Detailed explanation

\(d = \sqrt{2Rh_T} + \sqrt{2Rh_R}\) \(d = \sqrt{2 \times 6.4 \times 10^6 \text{ m} \times 32 \text{ m}} + \sqrt{2 \times 6.4 \times 10^6 \text{ m} \times 50 \text{ m}}\) \(d = 20238.63 \text{ m} + 25298.22 \text{ m}\) \(d = 45536.85 \text{ m}\) \(d \approx 45.5 \text{ km}\)