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Concepts Of Physics MCQ Edition [Volume 1]PhysicsGravitation

Determine the minimum colatitude that can directly receive a signal from a geostationary satellite.

Options

  1. A⁻¹(0.15)
  2. B⁻¹(0.85)
  3. C⁻¹(0.15)
  4. D⁻¹(0.15)

Correct answer

A. ⁻¹(0.15)

Step-by-step solution

The radius of the Earth is R = 6400 km . The height of a geostationary satellite above the Earth's surface is h 36000 km . The distance of the satellite from the center of the Earth is r = R + h = 6400 + 36000 = 42400 km . Let the maximum latitude that can directly receive the signal be . At this latitude, the line of sight from the satellite is tangent to the Earth's surface, forming a right-angled triangle with the Earth's center. From the geometry of this triangle, we have: = R r Colatitude is defined as the ang

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