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Two particles of masses \( M \) and \( 2 M \) moving as shown, with speeds of \( 10 \mathrm{~m} / \mathrm{s} \) and \( 5 \mathrm{~m} / \mathrm{s} \), collide elastically at the origin. After the collision, they move along the indicated directions with speeds \( v_{1} \) and \( v_{2} \) respectively. The values of \( v_{1} \) and \( v_{2} \) are nearly
[JEE (Main) 2019]
(a) \( 6.5 \mathrm{~m} / \mathrm{s} \) and \( 3.2 \mathrm{~m} / \mathrm{s} \)
(b) \( 3.2 \mathrm{~m} / \mathrm{s} \) and \( 6.3 \mathrm{~m} / \mathrm{s} \)
(c) \( 6.5 \mathrm{~m} / \mathrm{s} \) and \( 6.3 \mathrm{~m} / \mathrm{s} \)
(d) \( 3.2 \mathrm{~m} / \mathrm{s} \) and \( 12.6 \mathrm{~m} / \mathrm{s} \)
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