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

Here , ` h = 240 m , d = ? , R = 6.4 xx 10^(6) m`
The maximum distance on earth from the transmitter upto which a signal can be received is
`d = sqrt( 2 R h) = sqrt ( 2 xx ( 6.4 xx 10^(6) ) xx 240) = 55.4 xx 10^(3) m = 55.4 km`