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AIIMS2004PhysicsCenter of Mass, Momentum and Collision

A nucleus of mass number A , originally at rest, emits an -particle with speed v . The daughter nucleus recoils with a speed

Options

  1. A2 v A+4
  2. B4 v A+4
  3. C4 v A-4
  4. D2 v A-4

Correct answer

C. 4 v A-4

Step-by-step solution

^A X ^ A-4 Y+ ^4 (parent nucleus) (daughter nucleus) As the parent nucleus is at rest, then according to conservation of momentum. aligned & 0=m_Y v_Y+m_ v_ & 0=(A-4) v_Y+4 v aligned v_Y= 4 v A-4 , the recoil speed of daughter nucleus.

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