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VMMC VMMC Medical 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:

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

    B) \[\frac{N}{n}s\]

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

    D) \[\frac{0.693n}{N}s\]

    Correct Answer: C

    Solution :

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


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