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NEET 2011
Exam
NEET
Year
2011
Subject
Physics
Chapter
Gravitation

NEET 2011 · Physics · Gravitation

A planet moving along an elliptical orbit is closest to the sun at...

A planet moving along an elliptical orbit is closest to the sun at a distance r1r_1 and farthest away at a distance of r2r_2. If y1y_1 and v2v_2 are the linear velocities at these points respectively, then the ratio y1y2\frac{y_1}{y_2} is

Options

  1. Ar2/r1r_2 / r_1
  2. B(r2/r1)2\left(r_2 / r_1\right)^2
  3. Cr1/r2r_1 / r_2
  4. D(r1/r2)2\left(r_1 / r_2\right)^2

Correct answer

A. r2/r1r_2 / r_1

Step-by-step solution

From the law of conservation of angular momentum mr1y1=mr2y2r1y1=r2y2y1y2=r2r1\begin{gathered}m r_1 y_1=m r_2 y_2 \\ r_1 y_1=r_2 y_2 \\ \frac{y_1}{y_2}=\frac{r_2}{r_1} \end{gathered}
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