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Haryana PMT Haryana PMT 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 \[=\frac{0.693}{\lambda }=\frac{0.693N}{n}\]


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