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
Select the correct option:
A
$3.2 \mathrm{~m} / \mathrm{s}$ and $12.6 \mathrm{~m} / \mathrm{s}$
B
$3.2 \mathrm{~m} / \mathrm{s}$ and $6.3 \mathrm{~m} / \mathrm{s}$
C
$6.5 \mathrm{~m} / \mathrm{s}$ and $3.2 \mathrm{~m} / \mathrm{s}$
D
$6.5 \mathrm{~m} / \mathrm{s}$ and $6.3 \mathrm{~m} / \mathrm{s}$
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