The distance between the Sun and Earth is R. If it becomes 3R while the Sun's mass remains unchanged, what will be the duration of the year?
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The distance between the Sun and Earth is R. If it becomes 3R while the Sun's mass remains unchanged, what will be the duration of the year?

G1 Physics · Accepted Answer

Step 1: Kepler's third law givₑ T²∝r³ for planets orbiting the same Sun. Step 2: If r′=3R, then T′/T=(3R/R)³ᐟ²=3√3. Step 3: Since the original period is 1 year, the new period is 3√3 years. Final: D.