JEE PYQ: Communication System Question 4
Question 4 - 2021 (16 Mar 2021 Shift 2)
Two identical antennas mounted on identical towers are separated from each other by a distance of 45 km. What should nearly be the minimum height of receiving antenna to receive the signals in line of sight? (Assume radius of earth is 6400 km)
(1) 19.77 m
(2) 39.55 m
(3) 79.1 m
(4) 158.2 m
Show Answer
Answer: (2)
Solution
$D = 2\sqrt{2Rh}$, $h = \frac{D^2}{8R} = \frac{45^2}{8 \times 6400} \cong 39.55$ m.