Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2006

  • question_answer
    If a radioactive substance decays \[\frac{1}{16}\]th of its original amount in 2 h, then the half-life of that substance is

    A)  15 min                                 

    B)  30 min

    C)  45 min                                 

    D)  None of these

    Correct Answer: B

    Solution :

    For a radioactive substance \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\] \[\frac{{{N}_{0}}}{16}={{N}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\]                 \[\therefore \]  \[n=4\]                 \[\because \]     \[t=n\times T\]                 \[\therefore \]  \[T=\frac{t}{n}=\frac{2}{4}h\]                                 \[=\frac{2\times 60}{4}\min =30\min \]


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