The Total solution for NCERT class 6-12
Is it necessary for atransmitting antenna to be at the same height asthat of the receiving antenna for line-of-sight communication? A TVtransmitting antenna is 81m tall. How much service area can it cover if thereceiving antenna is at the ground level?
Line-of-sightcommunication means that there is no physical obstruction between thetransmitter and the receiver. In such communications it is not necessary forthe transmitting and receiving antennas to be at the same height.
Height of the given antenna, h =81 m
Radius of earth, R =6.4 × 106 m
For range, d = (2Rh)½,the service area of the antenna is given by the relation:
A = πd2
= π (2Rh)
= 3.14 × 2 × 6.4 × 106 × 81
= 3255.55 × 106 m2
= 3255.55