$A$ planet is revolving around the sun in an elliptical orbit. Its closest distance from the sun is $r_{min}$,and the farthest distance from the sun is $r_{max}$. If the orbital angular velocity of the planet when it is nearest to the sun is $\omega$,then the orbital angular velocity at the point when it is at the farthest distance from the sun is:

  • A
    $\sqrt {\frac{{{r_{min}}}}{{{r_{\max }}}}} \,\omega $
  • B
    $\sqrt {\frac{{{r_{\max }}}}{{{r_{\min }}}}} \,\omega $
  • C
    $\frac{{{r^2}_{\max }}}{{{r^2}_{\min }}}\,\omega $
  • D
    $\frac{{{r^2}_{min}}}{{{r^2}_{\max }}}\,\omega $

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