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Question
A particle A of mass m and initial velocity v collides with a particle B of mass m/2 which is at rest. The collision is head on, and elastic. The ratio of the de-Broglie wavelengths ${\lambda _A}$ to ${\lambda _B}$ after the collision is:
${{{\lambda _A}} \over {{\lambda _B}}} = {1 \over 3}$
${{{\lambda _A}} \over {{\lambda _B}}} = 2$
${{{\lambda _A}} \over {{\lambda _B}}} = {2 \over 3}$
${{{\lambda _A}} \over {{\lambda _B}}} = {1 \over 2}$

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