JEE Physics · Hard

Work, Power and Energy: Advanced — Head-on Elastic MCQ

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

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Advanced — Head-on ElasticHardQuestion 30473

Question

Mass m collides elastically with 2m at rest. Fraction of KE transferred to 2m is:
  1. A
    1/2
  2. B
    8/9
    Correct
  3. C
    2/3
  4. D
    4/9

Correct answer

8/9

Explanation

v₂' = 2mv/(m+2m) = 2v/3. KE_transferred = ½(2m)(2v/3)² = ½×2m×4v²/9 = 4mv²/9. Fraction = (4mv²/9)/(½mv²) = 8/9.