A hollow sphere (`i`) rolls and (`ii`) slides down an inclined plane. The ratio of the accelerations in the two cases is

Options

A. `3 : 4`
B. `3 : 5`
C. `2 : 3`
D. `5 : 7`

Explanation

`a_(1)=(gsin theta)/(1+k^(2)//R^(2))=(g sin 30^(@))/(1+2//3)=(3 g sin theta)/(5)`
`a_(2)= g sin theta`
`(a_(1))/(a_(2))=(3)/(5)`