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JEE Main2018PhysicsGravitationActual

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:

Options

  1. A2 × 10 - 2
  2. B6 × 10 - 2
  3. C3 × 10 - 2
  4. D10 - 2

Correct answer

A. 2 × 10 - 2

Step-by-step solution

From Kepler's law, T 2 = 4 π 2 G M r 3 ∆ M M = 2 ∆ T T = 2   × 10 - 2

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