CUET · PHYSICS · PYQ PAPER 2023
A transmitting antenna at the top of a tower has a height 18 m and the height of the receiving antenna is 32 m. What is the maximum distance between them for satisfactory communication in line-of-sight mode? Given radius of earth is \( 6.4 \times 10^6 \text{ m} \)
- A 33.4 km
- B 35.4 m
- C 35.4 km
- D 335 m
Answer & Solution
Correct Answer
(C) 35.4 km
Step-by-step Solution
Detailed explanation
\(d = \sqrt{2Rh_T} + \sqrt{2Rh_R}\) \(d = \sqrt{2 \times 6.4 \times 10^6 \text{ m} \times 18 \text{ m}} + \sqrt{2 \times 6.4 \times 10^6 \text{ m} \times 32 \text{ m}}\) \(d = 15178.93 \text{ m} + 20238.68 \text{ m}\) \(d = 35417.61 \text{ m} \approx 35.4 \text{ km}\)
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