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BHU PMT BHU PMT (Screening) Solved Paper-2010

  • question_answer
    3.8 days is the half-life period of a sample. After how many days; the sample will become\[\frac{1}{8}\]th of the original substance?

    A)  11.4                                      

    B)  3.8

    C)  3                                            

    D)  None of these

    Correct Answer: A

    Solution :

                     The fraction of sample remain undecayed, \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}\] \[\frac{1}{8}={{\left( \frac{1}{2} \right)}^{n}}\] \[n=3\] Now,      \[t=n\times {{T}_{1/2}}\] \[=3\times 3.8=11.4\text{ }days\]


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