Two identical spheres are rolling down the slope. One is solid and other is hollow, the ratio of moment of inertia of solid sphere (axis of rotation is diameter) to that of the hollow is …………….

Options

A. `(3)/(5)`
B. `(2)/(3)`
C. `(2)/(5)`
D. `(1)/(3)`

Answer

A

Explanation

`("Moment of inertia of solid cylinder")/("Moment of inertia of hollow cylinder")=((2)/(5)MR^(2))/((2)/(3)MR^(2))=(3)/(5)`