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VIT Engineering VIT Engineering Solved Paper-2008

  • question_answer
    A certain radioactive material \[_{Z}{{X}^{A}}\]starts emitting \[\alpha \] and \[\beta \] panicles successively such that the end product is \[_{Z-3}{{Y}^{A-8}}.\]. The number of \[\alpha \]and \[\beta \] particles emitted are

    A)  4 and 3 respectively

    B)  2 and 1 respectively

    C)  3 and 4 respectively

    D)  3 and 8 respectively  

    Correct Answer: B

    Solution :

    Let there be x a-particles and y \[\beta \]-particles \[_{Z}{{X}^{A}}\xrightarrow{{}}xHe_{2}^{4}+y\beta _{-1}^{0}+Y_{Z-3}^{A-B}\] then equating the mass numbers \[A=4x+A-8\]            ...(i) and equating atomic numbers \[Z=2x-y+Z-3\]          ...(ii) Solving Eqs. (i) and (ii), we get \[x=2\]and \[y=1\] \[\therefore \] The number of a and p particles emitted are 2 and 1 respectively.


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