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

NTA Abhyas 2020 · Physics · Communication System

A TV tower has a height of 150m . The area of the region covered by...

A TV tower has a height of 150m150m. The area of the region covered by the TV broadcast is (radius of earth=6.4×106m= 6.4 \times {10}^{6}m)

Options

  1. A9.6π×108km29.6\pi{\times 10}^{8}km^{2}
  2. B19.2π×108km219.2\pi{\times 10}^{8}km^{2}
  3. C19.2π×107km219.2\pi{\times 10}^{7}km^{2}
  4. D1.92π×103km21.92\pi{× 10}^{3}km^{2}

Correct answer

D. 1.92π×103km21.92\pi{× 10}^{3}km^{2}

Step-by-step solution

Area of region covered =\pid2=π(2hR)= \pid^{2} = \pi ( 2hR )

=π×2×150×6.4×106= \pi × 2 × 150 × 6.4 × {10}^{6}

=1.92π×109m2=1.92π×103km2= 1.92\pi × {10}^{9}m^{2} = 1.92\pi × {10}^{3}km^{2}
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