Two particles A and B are moving in uniform circular motion in concentric circles of radii `r_(A)` and `r_(B)` with speed `u_(A)` and `u_(B)` respectively. Their time period of rotation is the same. The ratio of angular speed of a to that of B will be:

Options

A. `1:1`
B. `r_(A): r_(B)`
C. `v_(A) : v_(B)`
D. `r_(B): r_(A)`

Answer

A

Explanation

Tiem period (T) `= (2pi)/(omega)`
`omega`= Angular speed
`T_(1)= T_(2)` (given)
`(2pi)/(omega_(1))= (2pi)/(omega_(2))`
`omega_(1)= omega_(2)`
`omega_(1) : omega_(2)= 1: 1`