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Question: Answered & Verified by Expert
The relative uncertainty in the period of a satellite orbiting around the earth is 10-2 . If the relative uncertainty in the radius of the orbit is negligible, the relative uncertainty in the mass of the earth is:
PhysicsGravitationJEE MainJEE Main 2018 (16 Apr Online)
Options:
  • A 2 × 10-2
  • B 6 × 10-2
  • C 3 × 10-2
  • D 10-2
Solution:
1148 Upvotes Verified Answer
The correct answer is: 2 × 10-2
From Kepler's law,

T2=4π2GMr3

MM=2TT=2 ×10-2

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