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 particle P is moving in a circle of radius a with a uniform speed u,

1.	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
Answer» `1:1` `1:2` `2:1` `4:1` Solution :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)`.