A satellite can be in a geostationary orbit around a planet at a distance $r$ from the centre of the planet. If the angular velocity of the planet about its axis doubles, a satellite can now be in a geostationary orbit around the planet if its distance from the centre of the planet is

  • A

    $\frac{r}{2}$

  • B

    $\frac{r}{{2\sqrt 2 }}$

  • C

    $\frac{r}{{{{\left( 4 \right)}^{1/3}}}}$

  • D

    $\frac{r}{{{{\left( 2 \right)}^{1/3}}}}$

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