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AMU Medical AMU Solved Paper-2006

  • question_answer
    \[n\]alpha particles per second are emitted from \[N\]atoms of a radioactive element. The half-life of radioactive element is (in sec)

    A)  \[\frac{n}{N}\]                                

    B)  \[\frac{N}{n}\]

    C)   \[\frac{0.693N}{n}\]                     

    D)  \[\frac{0.693\,n}{N}\]

    Correct Answer: C

    Solution :

                     \[\frac{dN}{dt}=-\lambda \,N\] \[\Rightarrow \]               \[n=-\lambda N\] \[\therefore \]  Half-life \[=\frac{0.693}{\lambda }=\frac{0.693N}{n}\]


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