An object of mass m 1 collides with another object of mass m 2 , which is at rest. After the collision the…

An object of mass m1 collides with another object of mass m2, which is at rest. After the collision the objects move with equal speeds in opposite direction. The ratio of the masses m2:m1 is :
  1. 3:1
  2. 2:1
  3. 1:2
  4. 1:1

Solution

m1v1=-m1v+m2v

v1=-v+m2 m1v

v1+vv=m2 m1

e=2vv1=1

v=v12

v1+v1/2v1/2=m2 m1

3=m2 m1

Asked in: JEE Main 2021 (18 Mar Shift 2)

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