A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on an inclined plane. Both roll down without slipping. Which one will reach the bottom first ?

Options

A. Both together only when angle of inclination of plane is `45^(@)`
B. Both together
C. Hollow cylinder
D. Solid cylinder

Answer

B

Explanation

`t = 1/(sin theta ) sqrt((2h)/(g) (1+(k^(2))/(R^(2)))) ` If a solid and hollow body of same shape are allowed to roll down on inclined palne then as `(k^(2)/(R^(2))) _(s) lt ((k^(2))/(R^(2)))_(H)` , solid body will reach the bottom first with greater velocity .