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Questions  

In a one dimensional collision between two identical particles A and B, B is stationary and A has momentum p before impact. During impact, B gives an impulse J to A. Then, coefficient of restitution
between the two is

a
2Jp-1
b
2Jp+1
c
Jp+1
d
Jp-1

detailed solution

Correct option is A

Let uA and uB be the velocities of A and B respectively before impact and vA and vB be the velocities of A and B after impact.Before impact, uB = 0                        p = muAAfter impact, p-J = mvA and J = mvBCoefficient of restitution, e =vB-vAuA-uB=J-(p-J)p                                            =2J-pp=2Jp-1

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