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CUET · PHYSICS · PYQ PAPER 2023

The maximum distance between the transmitting and receiving antenna for a satisfactory communication in LOS mode is 48 Km . If the height of the receiving antenna is 8 (Given radius of earth \(R_e=6400 km\) )

  1. A 20 m
  2. B 40 m
  3. C 80 m
  4. D 180 m
Verified Solution

Answer & Solution

Correct Answer

(A) 20 m

Step-by-step Solution

Detailed explanation

\(d = \sqrt{2R_e h_T} + \sqrt{2R_e h_R}\) \(48 = \sqrt{2 \times 6400 \times h_T} + \sqrt{2 \times 6400 \times (80/1000)}\) \(48 = \sqrt{12800 h_T} + \sqrt{1024}\) \(48 = \sqrt{12800 h_T} + 32\) \(16 = \sqrt{12800 h_T}\) \(16^2 = 12800 h_T\) \(256 = 12800 h_T\)…