A transmitting antenna is kept on the surface of the earth. The minimum height of receiving antenna required to receive the signal in line of sight at 4 km distance from it is x × 10 - 2 m . The value of x is _____. (Let, radius of earth R = 6400 km )

Step-by-step solution

The formula to calculate the range of the antenna is given by γ = 2 R h       . . . 1 Substitute the values of the known parameters into equation (1) and solve to obtain the required height of the antenna. 4 × 10 3 = 2 × 6400000 × h ⇒ 16 × 10 6 = 2 × 64 × 10 5 × h ⇒ h = 160 2 × 64 m = 10 8 m = 1000 8 × 10 - 2   m = 125 × 10 - 2   m