If a hollow cylinder and a solid cylinder are allowed to roll down an inclined plane, which will take more time to reach the bottom?

Options

A. Hollow cylinder
B. Solid cylinder
C. Same for both
D. One whose density is more

Answer

A

Explanation

`t prop sqrt(1+ (K^(2))/(R^(2))) rArr ((K^(2))/(R^(2)))_("solid cylinder") lt ((K^(2))/(R^(2)))_("hollow cylinder")`
`rArr t_("solid cylinder ") lt t_("hollow cylinder")`