NEET Sample Paper NEET Sample Test Paper-82

  • question_answer
    A radioactive nucleus of mass number A, initially at rest, emits an \[\alpha -particle\] with a speed v. The recoil speed of the daughter nucleus will be

    A)  \[\frac{2\,v}{A-4}\]                  

    B)  \[\frac{2\,v}{A+4}\]

    C)  \[\frac{4\,v}{A-4}\]                  

    D)  \[\frac{4\,v}{A+4}\]

    Correct Answer: C

    Solution :

    The initial momentum of the nucleus would be equal to \[4{{u}_{H}}v\]. Where an is unit mass of hydrogen. Since the mass of hydrogen is 1. So the initial momentum can be given by 4v. \[{{\operatorname{P}}_{i}}={{P}_{t}}\] \[\Rightarrow \,\,\,\,\,\,4v=\left( A-4 \right)V\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,V=\frac{4v}{A-4}\]


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