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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Communication System

NTA Abhyas 2020 · Physics · Communication System

The radius of the Earth is 6400 km. If the height of an antenna is...

The radius of the Earth is 64006400 km. If the height of an antenna is 500m500m, then its range is

Options

  1. A800800 km
    &
  2. B100100 km
  3. C8080 km
  4. D1010 km

Correct answer

C. 8080 km

Step-by-step solution

Given, R=6400km=6.4×106m,h=500mR = 6400km = 6.4 \times {10}^{6}m, h = 500m

∴Range,d=2hR∴ Range, d = \sqrt{2hR}

=2×500×6.4×106= \sqrt{2 \times 500 \times 6.4 \times {10}^{6}}

=64×108=8×104=80km= \sqrt{64 \times {10}^{8}} = 8 \times {10}^{4} = 80km
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