Kepler's 3rd Law
Kepler's third law states T² is proportional to?
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About This Question
- Subject
- physics
- Chapter
- gravitation
- Topic
- kepler's 3rd law
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
r³
- Kepler's Third Law (Law of Periods): The square of the time period (T) of revolution of a planet around the sun is proportional to the cube of the semi-major axis (r) of its orbit.
- Circular Case Derivation: r2GMm=mω2r=m(T2π)2r.
- Rearrange: T2=(GM4π2)r3.
- Conclusion: T2∝r3. This implies that planets further from the sun take longer to complete an orbit.
This easy difficulty physics question is from the chapter gravitation, covering the topic of kepler's 3rd law. It appeared in the 2025 exam.
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