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Manipal Medical Manipal Medical Solved Paper-2005

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

    A)  \[\frac{n}{N}\sec \]

    B)  \[\frac{N}{n}\sec \]

    C)  \[\frac{0.693}{n}\sec \]

    D)  \[\frac{0.693n}{N}\sec \]

    Correct Answer: C

    Solution :

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


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