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Gravitation: Kepler's Laws MCQ

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Kepler's LawsMediumQuestion 6236

Question

Kepler's third law: T² ∝ r³. If planet B has orbital radius 4 times planet A, T_B/T_A:
  1. A
    4
  2. B
    8
    Correct
  3. C
    16
  4. D
    2

Correct answer

8

Explanation

T² ∝ r³. (T_B/T_A)² = (r_B/r_A)³ = 4³ = 64. T_B/T_A = √64 = 8.

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