Two uniform solid spheres having unequal radii are released from rest from the same height on a rough incline. If the spheres roll without slipping

Options

A. The heavier sphere reaches the bottom first
B. The bigger sphere reaches the bottom first
C. The two spheres reach the bottom together
D. The information given is not sufficient to tell which sphere will reach the bottom first

Answer

C

Explanation

`a=(gsintheta)/(1+(K^(2))/(R^(2))),` For any sphere `(K^(2))/(R^(2))=2/5`
So, acceleration is independent of mass of radius.