A solid sphere and a solid cylinder having the same mass and radius, rolls down the same incline. The ratio of their acceleration will be

Options

A. `(15)/(14)`
B. `(11)/(14)`
C. `(13)/(14)`
D. `(17)/(14)`

Answer

A

Explanation

`(a_(s))/(a_(d))=(g sin theta)/((1+K^(2)//R^(2))_(s))xx((1+K^(2)//R^(2))_(d))/(g sin theta)`
`= (1+(1)/(2))/(1+(2)/(5))=((3)/(2))/((7)/(5))=(3)/(2)xx(5)/(7)=(15)/(14)`.