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Gravitation question

2011 · Q144
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Gravitation question

2011 · Q144

NEETPhysicsGravitationMCQ+4 / −1
A planet moving along an elliptical orbit is closest to the sun at a distance r1 and farthest away at a distance of r2. If vvv1 and vvv2 are the linear velocities at these points respectively, then the ratio v1v2{{{v_1}} \over {{v_2}}}v2​v1​​ is
  1. A
    (r1 /r2)2
  2. B
    r2/r1
  3. C
    (r2/r1)2
  4. D
    r1/r2
View written solutionFree

Correct answer: B

Angular momentum is conserved

∴\therefore∴ L1 = L2

⇒\Rightarrow⇒ mr1v1 = mr2v2

⇒\Rightarrow⇒ r1v1 = r2v2

⇒v1v2=r2r1 \Rightarrow {{{v_1}} \over {{v_2}}} = {{{r_2}} \over {{r_1}}}⇒v2​v1​​=r1​r2​​

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