Three particles α,β and γ of equal mass are moving with the same velocity v along the medians of an equilateral triangle. After collision, α becomes stationary, β retraces its path with velocity v, then the magnitude and direction of γ will be :
A
v and in the direction of β
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B
v and in the direction of γ
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C
v and opposite to β
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D
v and in the direction of α
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Solution
The correct option is Cv and opposite to β The particle of same mass and same magnitude of velocities on medians of an equilateral triangle, in total have zero momentum as they form a cyclic system. Ex. triangle. Hence the momentum after collision will also be zero. As α becomes stationary, β retraces its path with velocity v, so to make momentum 0, γhas to move opposite to β with same speed.