The period of revolution of planet A around the Sun is eight times that of planet B. How many times farther from the Sun is planet A than planet B?
Options

Question

The period of revolution of planet A around the Sun is eight times that of planet B. How many times farther from the Sun is planet A than planet B?

G1 Physics · Accepted Answer

Step 1: Kepler’s third law gives T²∝r³. Step 2: Therefore rₐ/rᵦ=(Tₐ/Tᵦ)²ᐟ³=8²ᐟ³=4. Final answer: B — 4.