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JEE Main2010PhysicsCenter of Mass, Momentum and CollisionActual

Statement-1 : Two particles moving in the same direction do not lose all their energy in a completely inelastic collision. Statement-2 : Principle of conservation of momentum holds true for all kinds of collisions. Of the four choices given after the statements, choose the one that best describes the two statements. Of the four choices given after the statements, choose the one that best describes the two statements.

Options

  1. AStatement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.
  2. BStatement-1 is true, Statement-2 is true; Statement-2 is not the correct explanation of Statement1
  3. CStatement-1 is false, Statement-2 is true.
  4. DStatement-1 is true, Statement-2 is false.

Correct answer

A. Statement-1 is true, Statement-2 is true; Statement-2 is the correct explanation of Statement-1.

Step-by-step solution

If it is a completely inelastic collision then gathered m₁ v₁+m₂ v₂=m₁ v+m₂ v v= m₁ v₁+m₂ v₂ m₁+m₂ ~K E = p ₁^2 2 ~m ₁ + p ₂^2 2 ~m ₂ gathered as p ₁ and p ₂ both simultaneously cannot be zero therefore total KE cannot be lost.

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