JEE Physics · Hard

Center of Mass, Momentum and Collision: JEE — Maximum Energy Transfer MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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JEE — Maximum Energy TransferHardQuestion 30562

Question

In a 1D elastic collision, maximum kinetic energy is transferred from m₁ to m₂ when:
  1. A
    m₁ = m₂
    Correct
  2. B
    m₁ >> m₂
  3. C
    m₁ << m₂
  4. D
    m₁ = 2m₂

Correct answer

m₁ = m₂

Explanation

Energy transferred = (4m₁m₂/(m₁+m₂)²) × KE₁. This is maximised when m₁ = m₂ (= 100% transfer for equal masses).