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Questions  

A ball   of mass m  moving with   a speed u  undergoes   a head - on elastic   collision   with a ball   of  mass nm  initially  at rest. The fraction   of the incident   energy   transferred   to the heavier   ball is

a
n1+n
b
n1+n2
c
2n1+n2
d
4n1+n2

detailed solution

Correct option is D

Let the  velocities of the two balls, after collision be v1  and  v2  is the direction of u which is taken   as positive.mu=mv1+nmv2,e=1v2−v1=u,v2=2un+1,Fractional   energy  transferred=K.E.of ball of mass nmincident  energy=12nm×2un+1212mu=4nn+12

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