CET Karnataka Medical CET - Karnataka Medical Solved Paper-2008

  • question_answer
       \[_{92}{{u}^{235}}\]Undergoes successive disintegrations with the end product of\[_{82}P{{b}^{203}}\]. The number of \[\alpha \] and \[\beta \] particles emitted are

    A)  a = 6, p = 4      

    B)  a = 6, p = 0

    C)  a = 8, p = 6     

    D)  a = 3, p = 3

    Correct Answer: C

    Solution :

    Let number of \[\alpha \] particles decayed be x and number of \[\beta \] particles decayed be y. Then equation for the decay is given by \[_{92}{{U}^{235}}\xrightarrow[{}]{{}}x\alpha _{2}^{4}+y\beta _{-1}^{0}+Pb_{82}^{203}\] Equating the mass number on both sides \[235=4x+203\] ...(i) Equating atomic number on both sides \[92=2y-82\] ...(ii) Solving Eqs. (i) and (ii), we get \[x=8,y=6\] \[\therefore \]\[8\alpha \]particles and \[6\beta \]particles are emitted in disintegration.


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