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Question 30742
JEE Physics · Medium

Gravitation: Satellite Period Ratio MCQ

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Satellite Period RatioMediumQuestion 30742

Question

Satellite A orbits at radius 2R, satellite B at 8R (R = Earth's radius). Ratio of periods T_B/T_A is:
  1. A
    4
  2. B
    8
    Correct
  3. C
    2√2
  4. D
    16

Correct answer

8

Explanation

T ∝ r^(3/2). T_B/T_A = (8R/2R)^(3/2) = 4^(3/2) = 8.

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