Two particles A and B are moving in uniform circular motion in concentric circles of radii rA and rB with speed vA and vB respectively. Their time period of rotation is the same. The ratio of angular speed of A to that of B will be

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1 : 1

rA : rB

vA : vB

rB:rA

answer is A.

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Detailed Solution

Time period (T) = 2πωω = angular speedT1 = T2(given)2πω1 = 2πω2 ⇒ ω1 = ω2 ⇒ ω1:ω2 = 1 : 1

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