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

`theta_1=1/2 alpha (2)^2` , and `theta_1+theta_2=1/2 alpha (4)^2 =4theta_1`,
`therefore theta_2=3theta_1`