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Circular Motion: Period of Circular Orbit MCQ

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Period of Circular OrbitMediumQuestion 30652

Question

A satellite orbits at height h above Earth (radius R). Its orbital speed is v = √(gR²/(R+h)). The orbital period is:
  1. A
    2π(R+h)/v
    Correct
  2. B
    2πR/v
  3. C
    2π√((R+h)/g)
  4. D
    vR/2π

Correct answer

2π(R+h)/v

Explanation

Circumference of orbit = 2π(R+h). T = distance/speed = 2π(R+h)/v.

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