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

Answer

C

Explanation

We have, `theta_(1)=(1)/(2)(alpha)(2)^(2)=2 alpha`
`theta_(2)=(1)/(2)alpha(4)^(2)-(1)/(2)alpha(2)^(2)=6 alpha rArr (theta_(2))/(theta_(1))=(3)/(1)`.