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JEE Main20206 Sep 2020Morning ShiftPhysicsGravitationActual

A satellite is in an elliptical orbit around a planet P . It is observed that the velocity of the satellite when it is farthest from the planet is 6 times less than that when it is closest to the planet. The ratio of distances between the satellite and the planet at closest and farthest points is :

Options

  1. A1 : 6
  2. B1 : 3
  3. C1 : 2
  4. D3 : 4

Correct answer

A. 1 : 6

Step-by-step solution

From angular momentum conservation mV 1 r 1 = mV 2 r 2 r 1 r 2 = v 2 v 1 = 1 6 1 : 6

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