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JEE Main 202315 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
15 April
Shift
Morning Shift
Subject
Physics
Chapter
Communication System

JEE Main 2023 · 15 April · Morning Shift · Physics · Communication System

The height of transmitting antenna is 180m and the height of the...

The height of transmitting antenna is 180m180m and the height of the receiving antenna is 245m245m. The maximum distance between them for satisfactory communication in line of sight will be: (given R=6400kmR = 6400km)

Options

  1. A96km96km
  2. B56km56km
  3. C48km48km
  4. D104km104km

Correct answer

D. 104km104km

Step-by-step solution

The maximum distance for line of sight communication is

d=2hR+2h′Rd = \sqrt{2hR} + \sqrt{2h ' R}

The given data is

R=6400kmh=180mR = 6400kmh = 180m

h′=245mh ' = 245m

Thus, the value is

d=2×180×6400×103d = \sqrt{2 \times 180 \times 6400 \times {10}^{3}}

+2×245×6400×103+ \sqrt{2 \times 245 \times 6400 \times {10}^{3}}

=6×80×102+7×80×102= 6 \times 80 \times {10}^{2} + 7 \times 80 \times {10}^{2}

=104km= 104km

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