A wheel is subjected to uniform angular acceleration about its axis. Initially, its angular velocity is zero. In the first `2 sec`, it rotates through an angle `theta_(1)`, in the next `2 sec`, it rotates through an angle `theta_(2)`. The ratio of `theta_(2)//theta_(1)` is

Options

A. `1`
B. `2`
C. `3`
D. `5`

Explanation

`theta_(1)=(1)/(2)alpha(2)^(2)` (`i`)
`theta_(1)+theta_(2)=(1)/(2)alpha(2+2)^(2)` (`ii`)
`(theta_(1)+theta_(2))/(theta_(1))=4 implies theta_(2)=3theta_(1)implies (theta_(2))/(theta_(1))=3`