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Question: Answered & Verified by Expert
If the distance between the earth and the sun were half of the present distance, then the duration of a year would have been nearly
PhysicsGravitationJEE Main
Options:
  • A 45 days
  • B 100 days
  • C 182 days
  • D 129 days
Solution:
2558 Upvotes Verified Answer
The correct answer is: 129 days
According to the Kepler's law

     T 1 T 2 2 = r 1 r 2 3

∴     T 2 T 1 = r 2 r 1 3 / 2

∴    T 2 = T 1 r 2 r 1 3 / 2 = 3 6 5 1 2 3 / 2 = 129 days

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