Planets X and Y orbit the same star

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

Planets X and Y orbit the same star. The average distance between planet X and the star is five times greater than the average distance between planet Y and the star. What is orbital period of planet Xorbital period of planet Y\frac{\text{orbital period of planet X}}{\text{orbital period of planet Y}}? (A) 53\sqrt[3]{5} (B) 5\sqrt{5} (C) 523\sqrt[3]{5^2} (D) 53\sqrt{5^3}

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