JEE Physics · Hard

Center of Mass, Momentum and Collision: Explosion — Three Pieces MCQ

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

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Explosion — Three PiecesHardQuestion 30519

Question

A body at rest explodes into three equal pieces. Two pieces fly off at right angles to each other at the same speed v. Speed of the third piece is:
  1. A
    v
  2. B
    v√2
    Correct
  3. C
    2v
  4. D
    v/√2

Correct answer

v√2

Explanation

Momentum of two pieces: each p = mv, at 90° to each other. Their resultant = mv√2 at 45°. Third piece must have momentum mv√2 in the opposite direction. Speed = v√2.