Four objects are placed at rest at the top of an inclined plane and allowed to roll without slipping to the bottom in the absence of rolling resistance and air resistance.
Object A is a solid brass ball of diameter d.
Object B is a solid brass ball of diameter 2 d.
Object \mathrm{C} is a hollow brass sphere of diameter d.
Object \mathrm{D} is a solid aluminum ball of diameter d. (Aluminum is less dense than brass.)
The balls are placed so that their centers of mass all travel the same distance. In each case, the time of motion T is measured. Which of the following statements is correct?
Answer Choices
A. T_{B}>T_{C}>T_{A}=T_{D}
B. T_{A}=T_{B}=T_{C}>T_{D}
C. T_{B}>T_{A}=T_{C}=T_{D}
D. T_{C}>T_{A}=T_{B}=T_{D}
E. T_{A}=T_{B}=T_{C}=T_{D}