Two particles start moving on circles of radius \( R_{1}=1 \mathrm{~m} \) and \( R_{2}=3 \mathrm...

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Two particles start moving on circles of radius \( R_{1}=1 \mathrm{~m} \) and \( R_{2}=3 \mathrm{~m} \) shown with velocity \( v_{1}=2 \mathrm{~m} / \mathrm{s}, v_{2}=15 \mathrm{~m} / \mathrm{s} \), respectively. The minimum time after which the particles will again be collinear with centre is equal to
(1) \( \frac{2 \pi}{3} \sec \)
(2) \( \frac{2 \pi}{5} \sec \)
(3) \( 2 \pi \mathrm{sec} \)
(4) \( \frac{\pi}{3} \sec \)
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