A TV transmission tower has a height of 240 m. Signals broadcast from this tower will be received by LOS communication at a distance of (assume the radius of earth to be `6.4 xx 10 ^(6) m`)

Options

A. 100 km
B. 24 km
C. 55 km
D. 50 km

Answer

B, C, D

Explanation

Given, height of tower h = 240 m
For LOS (line of sight) communication.
The maximum distance on earth from the transmitter upto which a signal can be received is given by
`d = sqrt(2RH)" …..(i)"`
Here R is the radius of the earth i.e., R = `6.4 xx 10^(6) m`
Putting all these values in Eq. (i),
we get `d=sqrt(2RH)=sqrt(2xx6.4 xx 10^(6)xx240)`
`= 55.4 xx 10^(3)m =55.4 km`
Thus, the range of 55.4 km covers the distance 24 km, 55 km and 50 km.