NEET Physics Orbital Motion MCQ Question
Consider a diagram showing the orbits of Earth and Mars around the Sun. If the Earth has an orbital radius R and Mars has an orbital radius 1.52 times that of Earth, which of the following would correctly describe the time period of Mars' orbit around the Sun in relation to Earth's?
Mars' orbital period is longer than Earth's by a factor of approximately 1.87.
Mars' orbital period is shorter than Earth's by a factor of approximately 1.52.
Mars' orbital period is equal to Earth's orbital period.
Mars' orbital period is longer than Earth's by a factor of exactly 1.52.
Correct Answer
Detailed Explanation
According to Kepler's third law, the orbital period is proportional to the 3/2 power of the orbital radius. Given Mars' radius is 1.52 times Earth's, the period is (1.52)^(3/2) times Earth's, approximately 1.87.
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