A particle of mass ' \( m \) ' is moving with speed ' \( 2 v^{\prime} \) and collides with a mas...

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A particle of mass ' \( m \) ' is moving with speed ' \( 2 v^{\prime} \) and collides with a mass ' \( 2 \mathrm{~m} \) ' moving with speed ' \( v \) ' in the same direction. After collision, the first mass is stopped completely while the second one splits into two particles each of mass ' \( m \) ', which move at angle \( 45^{\circ} \) with respect to the original direction. The speed of each of the moving particle will be
[JEE (Main) 2019]
(a) \( v /(2 \sqrt{2}) \)
(b) \( \sqrt{2} v \)
(c) \( v / \sqrt{2} \)
(d) \( 2 \sqrt{2} v \)
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