If the heights of transmitting and the receiving antennas are each equal to h, the maximum line-of-sight distance between them is (R is the radius of the earth)

Options

A. `sqrt(2Rh)`
B. `sqrt (4Rh)`
C. `sqrt (6 Rh)`
D. `sqrt (8 Rh)`

Answer

D

Explanation

We know that,
Maximum line of sight distance
`d _(m) = d _(T) + d _(R) = sqrt ( 2 Rh _(T)) + sqrt ( 2 RH_(R))`
`(because h _(T) = h _(R) = h)`
`therefore d _(m) = sqrt ( 2 Rh) = sqrt ( 2Rh)`
`= 2 sqrt ( 2 Rh) = sqrt ( 4 xx 2 Rh) = sqrt ( 8Rh)`