Question Detail
Question
Io, a moon of Jupiter, has an orbital period T and radius r. Another moon, Callisto, has a period T' which is longer. According to Kepler's third law, the orbital radius r' of Callisto is such that:
Correct Answer
Option C is the correct answer.
Detailed Explanation
Kepler's third law (T² ∝ r³) means that a longer period (T' > T) corresponds to a larger orbital radius (r' > r). This is because T increases as r^(3/2).
Hint
How does the orbital period change with distance from the planet?