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MMLU-Pro / 10098 / Which of the following is not one of nor follows directly from Kepler's laws?

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Which of the following is not one of nor follows directly from Kepler's laws?

category

physics

options

  1. The orbit of each planet about the Sun is an ellipse with the Sun at one focus.
  2. A planet travels faster when it is nearer to the Sun and slower when it is farther from the Sun.
  3. The time it takes for a planet to orbit the Sun is proportional to the cube of its average distance from the Sun.
  4. As a planet moves around its orbit it sweeps out equal areas in equal times.
  5. The force of attraction between any two objects decreases with the square of the distance between their centers.
  6. The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.

src

ori_mmlu-astronomy

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Source and history

upstream_id / Original problem ID
10098
task_id
3baeda6f-229c-5526-b02f-1df61fc4e46c
task_key
default--test--10098
task_revision_id
1
config / split
default / test

Official source

initial import