DUMET Medical DUMET Medical Solved Paper-2005

  • question_answer
    \[_{72}{{X}^{180}}\xrightarrow{2\alpha }\xrightarrow{\beta }{{\xrightarrow{\gamma }}_{z}}{{X}^{A}},Z,A\] are:

    A)  69, 172       

    B)  172, 69

    C)  180, 70        

    D)  182, 68

    Correct Answer: A

    Solution :

    Key Idea: (i) Total mass of reactants = total mass of products (ii) When a-particle is ejected, atomic weight of atom decreases by 4 and atomic number decreases by 2. (iii) When a \[\beta \]-particle is ejected, atomic weight of atom remains same and atomic number is increased by 1. (iv) When a \[\gamma \]-particle is ejected atomic weight of atom and atomic number of atom remain same. \[\therefore \] \[_{72}{{X}^{180}}{{\xrightarrow{-2\alpha }}_{68}}{{A}^{172}}{{\xrightarrow{-\beta }}_{69}}{{B}^{172}}\]              \[{{\xrightarrow{-\gamma }}_{69}}{{X}^{172}}\] \[\therefore \] \[A=171\] and \[Z=69\]


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