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A particle of mass m moving with velocity v makes head-on elastic collision with a sationary particle of mass 2m. Kinetic energy lost by the lighter particle during period of deformation is

A

`(1)/(2)mv^(2)`

B

`(1)/(18)mv^(2)`

C

`(4)/(9)mv^(2)`

D

`(8)/(9)mv^(2)`

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The correct Answer is:
D
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