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Question: Answered & Verified by Expert
What should be the height of transmitting antenna and the population covered if the television telecast is to cover a radius of 150 km?  The average population density around the tower is 2000 km-2 and the value of Re=6.5×106 m.
PhysicsCommunication SystemJEE MainJEE Main 2021 (22 Jul Shift 1)
Options:
  • A Height =1731 m
    Population Covered =1413×105
  • B Height =1241 m
    Population Covered =7×105
  • C Height =1600 m
    Population Covered =2×105
  • D Height =1800 m
    Population Covered =1413×108
Solution:
1814 Upvotes Verified Answer
The correct answer is: Height =1731 m
Population Covered =1413×105

Radius covered, r=2RHT
150 km=2×6.5×106 mHT
150 km×1032=2×6.5×106HT
HT=1731 m

Population covered =πr22000 km-2
=3.14×(150)2×2000=1413×105

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