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Kepler's third law concludes the relationship between time period of revolution of planet (T) and semi-major axis of orbit (R) as:

Kepler's third law concludes the relationship between time period of revolution of planet (T) and semi-major axis of orbit (R) as: Correct Answer T<sup>2</sup> ∝ R<sup>3</sup>

The correct answer is option 1) i.e. T2 ∝ R3

CONCEPT:

  • Kepler's laws of planetary motion
    • The first law (Law of orbits): All the planets revolve around the sun in elliptical orbits having the sun at one of the foci.
    • The second law (Law of areas): The radius vector drawn from the sun to the planet sweeps out equal areas in equal intervals of time.
    • Third law (Law of periods): The square of the time period of revolution of a planet around the sun in an elliptical orbit is directly proportional to the cube of its semi-major axis.

​EXPLANATION:

  • From the third law of Kepler, the square of the time period (T) is directly proportional to the cube of the semi-major axis (R).

Therefore, T2 ∝ R3

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