The Roche Limit Tells Us About the Point on a Rotating

Multiple Choice

The Roche Limit tells us about the point on a rotating planet where the gravitational force at the equator is just equal to the necessary centripetal force needed for rotation.Assuming the planet to be a uniform sphere of density 5520 kg/m³,find the shortest period of rotation possible before exceeding the Roche Limit.(G = 6.67 $\times$ 10^-11 N·m²/kg²)

A) none of the following
B) 50 mins
C) 150 mins
D) 48 mins
E) 85 mins