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Question: Answered & Verified by Expert
A TV transmitting antenna is 98 m high and the receiving antenna is at the ground level. If the radius of the earth is 6400 km, the surface area covered by the transmitting antenna is approximately:
PhysicsCommunication SystemJEE MainJEE Main 2023 (08 Apr Shift 1)
Options:
  • A 1240 km2
  • B 3942 km2
  • C 4868 km2
  • D 1549 km2
Solution:
2699 Upvotes Verified Answer
The correct answer is: 3942 km2

The given data is 

H=98 m

R=6400 km

The line of sight formula for an antenna is 

d=2RH

Area =πd2=π×2×R×h=2×6400×98×10-3×π=3940 km2

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