Two particles are fired from the same point, with speeds \( 100 \mathrm{~m} / \mathrm{s} \) and ...

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Two particles are fired from the same point, with speeds \( 100 \mathrm{~m} / \mathrm{s} \) and \( 100 \mathrm{~m} / \mathrm{s} \), firing angles with horizontal \( =60^{\circ} \) and \( 120^{\circ} \) respectively. The time after which their velocity vectors becomes perpendicular to each other, is
(a) \( 5 \mathrm{~s} \)
(b) \( 5(\sqrt{3}-1) \mathrm{s} \)
(c) \( 5 \sqrt{3} \mathrm{~s} \)
(d) \( 5 \sqrt{3} / 2 \mathrm{~s} \)
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