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. `14:15`
C. `5:7`
D. `7:5`

Answer

B

Explanation

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