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JEE Main 202125 JulyMorning Shift
Exam
JEE Main
Year
2021
Date
25 July
Shift
Morning Shift
Subject
Physics
Chapter
Gravitation

JEE Main 2021 · 25 July · Morning Shift · Physics · Gravitation

The minimum and maximum distances of a planet revolving around the...

The minimum and maximum distances of a planet revolving around the Sun are x1{x}_{1} and x2{x}_{2}. If the minimum speed of the planet on its trajectory is v0{v}_{0}, then its maximum speed will be:

Options

  1. Av0x12x22{v}_{0}{x}_{1}^{2}{x}_{2}^{2}
  2. Bv0x22x12{v}_{0}{x}_{2}^{2}{x}_{1}^{2}
  3. Cv0x1x2\dfrac{{v}_{0}{x}_{1}}{{x}_{2}}
  4. Dv0x2x1\dfrac{{v}_{0}{x}_{2}}{{x}_{1}}

Correct answer

D. v0x2x1\dfrac{{v}_{0}{x}_{2}}{{x}_{1}}

Step-by-step solution

Angular momentum conservation equation,

v0x2=v1x1{v}_{0}{x}_{2} = {v}_{1}{x}_{1}

v1=v0x2x1{v}_{1} = \dfrac{{v}_{0}{x}_{2}}{{x}_{1}}

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