A spherical cloud of dust in space has a uniform density \rho_{0} and a radius R_{0}. The gravitational acceleration of free fall at the surface of the cloud due to the mass of the cloud is g_{0}. A process occurs (heat expansion) that causes the cloud to suddenly grow to a radius 2 R_{0}, while maintaining a uniform (but not constant) density. The gravitational acceleration of free fall at a point R_{0} away from the center of the cloud due to the mass of the cloud is now
Answer Choices
A. g_{0} / 32
B. g_{0} / 16
C. g_{0} / 8
D. g_{0} / 4
E. g_{0} / 2