CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2003

  • question_answer
    The number of \[\alpha \] and\[\beta \]particles emitted in the chain of reactions leading to the decay of \[_{92}^{238}U\]to\[_{82}^{206}Pb\]:

    A) \[8\beta \]particles and \[6\alpha \] particles

    B)  \[5\alpha \] particles and\[0\beta \]particles

    C)  \[8\alpha \] and\[6\beta \]particles

    D)  \[10\alpha \]particles and\[10\beta \]particles

    E)  \[5\alpha \]particles and\[2\beta \]particles

    Correct Answer: C

    Solution :

    \[_{92}^{238}U\xrightarrow[{}]{{}}_{82}^{206}Pb+m_{2}^{4}He+n_{-1}^{0}e\] \[238=206+4m\] \[\Rightarrow \]               \[m=8\] \[92=82+2m-n\] \[2m-n=10\] \[\Rightarrow \]               \[n=6\] \[\therefore \] \[\alpha \]particles emitted, \[m=8\] \[\beta \]particles emitted, \[n=6\]


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