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Question 30747
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Gravitation: Kepler's 3rd Numerical MCQ

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Kepler's 3rd NumericalMediumQuestion 30747

Question

A satellite has orbital radius 4 times that of another satellite with period 8 days. Period of the outer satellite is:
  1. A
    32 days
  2. B
    64 days
    Correct
  3. C
    16 days
  4. D
    8 days

Correct answer

64 days

Explanation

T ∝ r^(3/2). T₂/T₁ = (4r/r)^(3/2) = 4^(3/2) = 8. T₂ = 8×8 = 64 days.

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