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A particle P is moving in a circle of ra...

A particle P is moving in a circle of radius a with a uniform speed u, C is the centre of the circle and AB is a diameter. The angular velocities of P about A and C are in the ratio

A

`1:1`

B

`1:2`

C

`2:1`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
B

From the property of a circle, if an arc subtend an angle `theta` at any point A on circumference, then it will subtend an angle `2 theta` at centre C. So in the same time interval a particle rotating in a circle turn double the angle with respect to centre point C compared to point A.
`:. omega_(c)=2 omega_(A)`.
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