The relative uncertainty in the period of a satellite orbiting around the earth is 10 - 2 . If the relative…

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:
  1. 2 × 10-2
  2. 6 × 10-2
  3. 3 × 10-2
  4. 10-2

Solution

From Kepler's law,

T2=4π2GMr3

∆MM=2∆TT=2 ×10-2

Asked in: JEE Main 2018 (16 Apr Online)

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