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 double, a satellite can now be in geostationary orbit around the planet if its distance from the centre of the planet is:

Q: 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 double, a satellite can now be in geostationary orbit around the planet if its distance from the centre of the planet is:

(a) $\frac{r}{2}$

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

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

(d) $\frac{r}{8^{1/3}}$