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Two particles \( A \) and \( B \) are moving on two concentric circles of radii \( R_{1} \) and \( R_{2} \) with equal angular speed \( \omega \). At \( t=0 \), their positions and direction of motion are shown in the figure

The relative velocity \( \mathbf{v}_{A}-\mathbf{v}_{B} \) at \( t=\frac{\pi}{2 \omega} \) is given by
(a) \( \omega\left(R_{1}+R_{2}\right) \hat{\mathbf{i}} \)
(b) \( -\omega\left(R_{1}+R_{2}\right) \hat{\mathbf{i}} \)
(c) \( \omega\left(R_{1}-R_{2}\right) \hat{\mathbf{i}} \)
(d) \( \omega\left(R_{2}-R_{1}\right) \hat{\mathbf{i}} \)
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