J & K CET Engineering J and K - CET Engineering Solved Paper-2008

  • question_answer
    If \[\lambda \] is decay constant and N the number of radioactive nuclei of an element, then the decay rate (R) of that element is

    A)  \[\lambda {{N}^{2}}\]           

    B)  \[\lambda N\]

    C)  \[\frac{\lambda }{N}\]

    D)  \[{{\lambda }^{2}}N\]

    Correct Answer: B

    Solution :

    At any instant the rate of decay of radioactive atoms is proportional to the number of atoms present at that instant ie, \[-\frac{dN}{dt}\propto N\] or \[-\frac{dN}{dt}=R=\lambda N\] where \[\lambda \] is decay constant,


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