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Question: Answered & Verified by Expert
In a line of sight radio communication, a distance of about 50 km is kept between the transmitting and receiving antennas. If the height of the receiving antenna is 70 m, then the minimum height of the transmitting antenna should be: (Radius of the Earth =6.4×106 m)
PhysicsCommunication SystemJEE MainJEE Main 2019 (08 Apr Shift 2)
Options:
  • A 20 m
  • B 51 m
  • C 40 m
  • D 32 m
Solution:
2654 Upvotes Verified Answer
The correct answer is: 32 m
Range, d=2 RhT+2 Rhr
50=2×6400×hT+2×6400×70×10-3
2×6400×hT=50-814
hT=50-81422×6400=0.031458 km
hT32 m

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