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

Options

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

Answer

C

Explanation

`alpha` = constant
`therefore" "theta=(1)/(2)propt^(2)`
`therefore" "theta prop t^(2)`
or `(theta_(2)+theta_(1))/(theta_(1))=((2+2)/(2))^(2)=4 " or "(theta_(2))/(theta_(1))=3`