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Two particles \( A \) and \( B \) are moving in uniform circular motion in concentric circles of radii \( r_{A} \) and \( r_{B} \) with speed \( v_{A} \) and \( v_{B} \), respectively. Their time period of rotation is the same. The ratio of angular speed of \( A \) to that of \( B \) will be
(a) \( v_{A}: v_{B} \)
(b) \( r_{B}: r_{A} \)
(c) \( 1: 1 \)
(d) \( r_{A}: r_{B} \)
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