RAJASTHAN ­ PET Rajasthan PET Solved Paper-2006

  • question_answer
    An \[\alpha \]-particle is emitted with velocity v from \[_{92}{{U}^{238}}\]nucleus placed at rest. The rebound velocity of the remaining nucleus will be

    A)  \[-\left( \frac{4v}{234} \right)\]

    B)  \[\left( \frac{v}{234} \right)\]

    C)  \[\left( \frac{v}{238} \right)\]

    D)  \[\frac{4v}{238}\]

    Correct Answer: A

    Solution :

     \[_{92}{{U}^{238}}{{\xrightarrow[{}]{{}}}_{90}}T{{h}^{234}}{{+}_{2}}H{{e}^{4}}\] The weight of remaining nucleus. From law of conservation \[{{m}_{1}}{{v}_{1}}={{m}_{2}}{{v}_{2}}=0\] \[4v+234v'=0\] or          \[v'=-\frac{4v}{234}\] where v' is rebound velocity of remaining nucleus.


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