Gravitation · NEET Preparation Physics

A planet revolves in an elliptical orbit around the Sun. If v1 and v2 are the speeds of the planet at perihelion (closest distance r1) and aphelion (…

Practice question from Gravitation (NEET Preparation Physics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-97B2BD

A planet revolves in an elliptical orbit around the Sun. If v1v_1 and v2v_2 are the speeds of the planet at perihelion (closest distance r1r_1) and aphelion (farthest distance r2r_2) respectively, the ratio v1/v2v_1/v_2 is equal to:

  1. A.ACorrect answer
  2. B.B
  3. C.C
  4. D.D

Solution

By conservation of angular momentum, mv1r1=mv2r2m v_1 r_1 = m v_2 r_2, which gives v1v2=r2r1\frac{v_1}{v_2} = \frac{r_2}{r_1}.

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