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JEE Main 20206 SeptemberMorning Shift
Exam
JEE Main
Year
2020
Date
6 September
Shift
Morning Shift
Subject
Physics
Chapter
Gravitation

JEE Main 2020 · 6 September · Morning Shift · Physics · Gravitation

A satellite is in an elliptical orbit around a planet P . It is...

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

Options

  1. A1:61: 6
  2. B1:31: 3
  3. C1:21: 2
  4. D3:43: 4

Correct answer

A. 1:61: 6

Step-by-step solution

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

From angular momentum conservation

mV1r1=mV2r2{mV}_{1}{r}_{1} = {mV}_{2}{r}_{2}

r1r2=v2v1=16\dfrac{{r}_{1}}{{r}_{2}} = \dfrac{{v}_{2}}{{v}_{1}} = \dfrac{1}{6}

1:61: 6

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