A planet orbits the sun in an elliptical path as shown in the figure. Let $v_P$ and $v_A$ be speed of the planet when at perihelion and aphelion respectively. Which of the following relations is correct ?

823-1441

  • A

    $\frac{{{r_P}}}{{{r_A}}} = \frac{{{v_A}}}{{{v_P}}}$

  • B

    $\frac{{{r_P}}}{{{r_A}}} = \frac{{{v_P}}}{{{v_A}}}$

  • C

    $\frac{{{r_P}}}{{{r_A}}} = \sqrt {\frac{{{v_P}}}{{{v_A}}}} $

  • D

    $\frac{{{r_P}}}{{{r_A}}} = \sqrt {\frac{{{v_A}}}{{{v_P}}}} $

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