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JEE Main 202329 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
29 January
Shift
Morning Shift
Subject
Physics
Chapter
Communication System

JEE Main 2023 · 29 January · Morning Shift · Physics · Communication System

If the height of transmitting and receiving antennas are 80m each,...

If the height of transmitting and receiving antennas are 80m80m each, the maximum line of sight distance will be :

Given : Earth’s radius =6.4×106m= 6 . 4 \times {10}^{6}m.

Options

  1. A32km32km
  2. B28km28km
  3. C36km36km
  4. D64km64km

Correct answer

D. 64km64km

Step-by-step solution

Given: R=6.4×106mR = 6 . 4 \times {10}^{6}m

Using the relation between the range of the radio communication and the height of the transmission antenna hT{h}_{T} and the receiving antenna hR{h}_{R}, the maximum line of sight distance between two antennas, is {d}_\max = \sqrt{2R{h}_{T}} + \sqrt{2R{h}_{R}}

⇒ {d}_\max = 2 \times \sqrt{2 \times 6 . 4 \times {10}^{6} \times 80} = 64000m = 64km

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