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PHY 101 PHY 101 Past Questions Objective Question
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Question

Kepler's third law states that T² ∝ a³. For circular orbits, the constant of proportionality depends on:
Options
A The mass of the orbiting planet.
B The mass of the central body (e.g., the Sun).
Correct Answer
C Both the mass of the planet and the central body.
D The radius of the planet.
Correct Answer

Option B is the correct answer.

Detailed Explanation

From Newton's form of Kepler's third law, T² = (4π²/GM) a³, where M is the mass of the central body (like the Sun). The constant 4π²/GM is the same for all planets orbiting the same central body, but would be different for moons orbiting Jupiter, for example.

Hint

Look at the derivation using centripetal force: T² = (4π²/GM_Sun) a³.

Question Info

Course: PHY 101
Topic: PHY 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 554 of 1250
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