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Question: Answered & Verified by Expert
What relationship exists between the Sun-planet distance (${{r}_{P}}$) and the speed of the planet at the perihelion (${{v}_{P}}$) as compared to the corresponding quantities at the aphelion (${{r}_{A}}$ and${{v}_{A}}$) in Fig.?

ChemistryGravitationNEET
Options:
  • A $\frac{{{v}_{P}}}{{{v}_{A}}}=\frac{{{r}_{P}}}{{{r}_{A}}}$
  • B $\frac{{{v}_{P}}}{{{v}_{A}}}=\frac{2{{r}_{P}}}{{{r}_{A}}}$
  • C $\frac{{{v}_{P}}}{{{v}_{A}}}=\frac{2{{r}_{A}}}{{{r}_{P}}}$
  • D $\frac{{{v}_{P}}}{{{v}_{A}}}=\frac{{{r}_{A}}}{{{r}_{P}}}$
Solution:
2662 Upvotes Verified Answer
The correct answer is: $\frac{{{v}_{P}}}{{{v}_{A}}}=\frac{{{r}_{A}}}{{{r}_{P}}}$
Correct Option is : (D)
$\frac{{{v}_{P}}}{{{v}_{A}}}=\frac{{{r}_{A}}}{{{r}_{P}}}$

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