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JEE Main2012PhysicsCenter of Mass, Momentum and CollisionActual

A moving particle of mass m , makes a head on elastic collision with another particle of mass 2 m , which is initially at rest. The percentage loss in energy of the colliding particle on collision, is close to

Options

  1. A33 %
  2. B67 %
  3. C90 %
  4. D10 %

Correct answer

C. 90 %

Step-by-step solution

Fractional decrease in kinetic energy of mass m aligned & =1- ( m₂-m₁ m₂+m₁ )^2=1- ( 2-1 2+1 )^2 & =1- ( 1 3 )^2=1- 1 9 = 8 9 aligned

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