A planet is revolving ground the sun in an elliptical orbit. Its closest distance from the sun is $r_{min}$, the farthest distance from the sun is $r_{max}$. If the orbital angular velocity of the planet when it is the 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 planet is revolving ground the sun in an elliptical orbit. Its closest distance from the sun is $r_{min}$, the farthest distance from the sun is $r_{max}$. If the orbital angular velocity of the planet when it is the 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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- [JEE MAIN 2021]