JEE Physics · Medium

Gravitation: Kepler III — Calculation MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Kepler III — CalculationMediumQuestion 30728

Question

Earth orbits Sun at 1 AU in 1 year. Saturn orbits at 9.54 AU. Saturn's period is approximately:
  1. A
    9.54 years
  2. B
    29.5 years
    Correct
  3. C
    14 years
  4. D
    91 years

Correct answer

29.5 years

Explanation

T² = a³. T_Saturn² = 9.54³ = 867. T_Saturn = √867 ≈ 29.5 years.