A wheel is subjected to uniform angular acceleration about its axis with its angular velocity is zero . In the first two seconds , it rotates through an angle `theta _(1)` and in the next two seconds , it rotates through an angle `theta _(2)` then the ratio of `theta_(2)//theta_(1)`

Options

A. `1:1`
B. `2:1`
C. `3:1`
D. `4:1`

Answer

C

Explanation

`theta _(1)=omega_(0)t+(1)/(2)alphat_(1)^(2)" "thereforetheta_(1)=2alpha `
`theta_(2)=omega_(0)t+(1)/(2)alpha t_(2)^(2)" "thereforetheta_(2)=8alpha`
`theta_(2)=theta_(2)-theta_(1)=8lpha-2alpha" "therefore (theta_(2))/(theta_(1))=(3)/(1)`