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Q.

A particle of mass 1kg with kinetic energy of 8 Joule makes an elastic head on collision with a stationary particle which has twice its mass. Then the fraction of energy transferred to the second body is

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a

34

b

925

c

2572

d

1736

answer is C.

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Detailed Solution

12mu2 = 8    ⇒ u = 161 m/s = 4m/s2×v2+1×v1 = 1×4 v1 = 4−2v2 ________(1)Also ,     v2−v1 = 1−0  ⇒ v2−4+2v2 = 1  ⇒ v2 = 53m/s              Fraction of energy transferred =12×2×53212×1×42 = 2572
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