A satellite is in an elliptical orbit around a planet P . It is observed that the velocity of the satellite…

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 :
  1. 1:6
  2. 1:3
  3. 1:2
  4. 3:4

Solution

  

From angular momentum conservation

mV1r1=mV2r2

r1r2=v2v1=16

1:6

Asked in: JEE Main 2020 (06 Sep Shift 1)

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