A radioactive nucleus at rest having mass number A , emits an alpha-particle with speed v . The recoil speed…

A radioactive nucleus at rest having mass number A , emits an alpha-particle with speed v. The recoil speed of the daughter nucleus is

  1. 2v(A-4)
  2. 2v(A+4)
  3. 4v(A-4)
  4. 4v(A+4)

Solution

As per the law of conservation of momentum,
0=4v-A-4vr
∴ Recoil speed vr=4v(A-4)

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