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Question 30759
JEE Physics · Medium

Gravitation: JEE — Kepler Period Ratio MCQ

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JEE — Kepler Period RatioMediumQuestion 30759

Question

Planet X has orbital period 8 years and orbital radius 4 AU. Planet Y has period 27 years. Y's orbital radius is:
  1. A
    9 AU
    Correct
  2. B
    6 AU
  3. C
    27 AU
  4. D
    3 AU

Correct answer

9 AU

Explanation

T² ∝ r³. For X: 64 = 4³ = 64 ✓ (ratio 1:1). For Y: 27² = 729. r³ = 729 → r = 9 AU.

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