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The area of the region covered by the TV broadcast, by a TV tower of 100 m height is (Take, the radius of the earth, R e = 6.4 × 10 6 m )

Options

  1. A12 .8 π × 10 8   km 2
  2. B1 .28 π × 10 3   km 2
  3. C0 .64 π × 10 3   km 2
  4. D1 .28   × 10 3   km 2

Correct answer

B. 1 .28 π × 10 3   km 2

Step-by-step solution

Given, the height of the tower, h = 100   m The radius of the earth, R e = 6.4 × 10 6   m Since we know, the area covered by the TV tower, A = 2 π R e h = 2 π × 6.4 × 10 6 × 100 = 12.8 π × 10 8   m 2 = 1.28 π × 10 3   km 2

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