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Two particles A and B are moving in unif...

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:

A

`1 : 1`

B

`r_(A) : r_(B)`

C

`v_(A) : v_(B)`

D

`r_(B) : r_(A)`

Text Solution

Verified by Experts

The correct Answer is:
A
Time 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`
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