NEET Physics Kepler's Laws MCQ Question
A planet orbits the Sun with an orbital period that is half that of Earth's. According to Kepler's third law, what is the ratio of the semi-major axis of this planet's orbit to that of Earth's orbit?
0.63
0.79
0.84
1.26
Correct Answer
Detailed Explanation
Kepler's third law states that the square of the orbital period is proportional to the cube of the semi-major axis. If the period is half, then (T/2)^2 = a^3, leading to the ratio (1/2)^2 = (a/1)^3, resulting in a ≈ 0.63.
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