STANDARD Physics Kepler's Laws MCQ Question
The time period T of the moon of planet mars (mass Mₘ) is related to its orbital radius R as (G = Gravitational constant)
T² = 4π²R³/GMₘ
T² = 4π²GR³/Mₘ
T² = 2πR²G/Mₘ
T² = 4πMₘGR³
Correct Answer
Detailed Explanation
The time period of an orbiting body is given by Kepler's third law, which states that T² is proportional to R³. By deriving from the gravitational force and centripetal force balance, T² = 4π²R³/GMₘ.
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