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JEE Main202329 Jan 2023Morning ShiftPhysicsCommunication SystemActual

If the height of transmitting and receiving antennas are 80 m each, the maximum line of sight distance will be : Given : Earth’s radius = 6 . 4 × 10 6 m .

Options

  1. A32   km
  2. B28   km
  3. C36   km
  4. D64   km

Correct answer

D. 64   km

Step-by-step solution

Given: R = 6 . 4 × 10 6   m Using the relation between the range of the radio communication and the height of the transmission antenna h T and the receiving antenna h R , the maximum line of sight distance between two antennas, is d max = 2 R h T + 2 R h R ⇒ d max = 2 × 2 × 6 . 4 × 10 6 × 80 = 64000   m = 64   km

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