Question

The maximum range for the tropospheric transmission of radio wave of wavelength 3m using the transmitting antenna and receiving antenna of heights 100m and 60m respectively is ______.

Options

• 8m

• 800m

• 8km

• 80km

Answer 1

The maximum range for the tropospheric transmission of radio wave of wavelength 3m using the transmitting antenna and receiving antenna of heights 100m and 60m respectively is 8km.

Explanation:

λ = 3m, H = 100m, h = 60m

The path difference between a direct wave and a wave that was created by an earth surface reflection is

`(2pi)/lambda((2"Hh")/"d")+pi=2pi`

or `((4"Hh")/(lambda"d"))=1` or d = `(4"Hh")/(lambda"d")`

⇒ d = `(4xx100xx60)/3`

= 8 × 10³ or 8 km