One year at a planet is 8 times as large as compared to the one year at the Earth. Which one of the following is correct about the planet's orbit?
- A. The semimajor axis of the planet's orbit is same as that of the Earth.
- B. The semimajor axis of the planet's orbit is twice as compared to that of the Earth.
- C. The semimajor axis of the planet's orbit is thrice as compared to that of the Earth.
- D. The semimajor axis of the planet's orbit is four times as compared to that of the Earth. ✓
Correct Answer: D. The semimajor axis of the planet's orbit is four times as compared to that of the Earth.
Explanation
By Kepler's Third Law, T^2 \propto r^3. If the period is 8 times that of Earth, (8)^2 = r^3, meaning the semimajor axis r must be 4 times larger (64 = 4^3).
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