The angular velocity of a particle increases from O to `omega` as it completest x rotations .Then number of rotation completes by it when its angular velocity becomes 2 `omega`.

Options

A. `xx`
B. `2xx`
C. `3xx`
D. `4xx`

Answer

D

Explanation

`omega _(2)^(2)- omega_(1)^(2)=2alphatheta_(1)`
`omega^(2)-0=2alpha theta_(1)`
`omega _(2)^(2)-omega _(1)^(2)=2 alpha theta _(2)`
`4 omega ^(2)-0=2alphatheta_(2)`
`(theta_(2))/(theta_(1))=(4omega^(2))/(omega^(2))=4`
`(x_(2))/(x_(1))=4`
`x_(2)=4x`