NEET Physics Universal Law of Gravitation MCQ Question
If the semi-major axis of a planet's orbit is doubled while keeping the mass of the Sun constant, how does the time period of revolution change according to the Universal Law of Gravitation?
It becomes √8 times the original period.
It becomes 2√2 times the original period.
It remains unchanged.
It becomes 4 times the original period.
Correct Answer
Detailed Explanation
According to Kepler's Law of Periods, the square of the time period is proportional to the cube of the semi-major axis (T² ∝ a³). If the semi-major axis is doubled, the new time period T' satisfies (T'/T)² = (2a/a)³ = 8. Thus, T' = 2√2 T.
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