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Question

Four identical particles A, B, C and D move with equal speed v, along the diagonal of a square towards the centroid O of the square, beginning at the vertices. After the collision at O, A and C retrace their path with speed 2v, and B retraces its path with speed \(v\sqrt{2}.\) Speed of the particle D after the collision is

A
v
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B
2v
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C
v2
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D
2v
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Solution

The correct option is D 2v

Initial momentum of the system of four particles = Zero =
Final momentum, as no external force on the system.
velocity of particle D is v' as shown
mv=2mv
v=2v

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