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Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2005

  • question_answer
    The half-life period of a radioactive element is \[140\]days. In \[560\,days\]a sample of this element would be reduced to ......of its initial mass.

    A)  \[1/2\]                                

    B)  \[1/4\]

    C)  \[1/8\]                                

    D)  \[1/16\]

    Correct Answer: D

    Solution :

    \[{{t}_{1/2}}=140\] days, \[T=560\] days, \[n=\frac{T}{{{t}_{1/2}}}=\frac{560}{140}=4\] \[(N)={{N}_{0}}\times {{\left( \frac{1}{2} \right)}^{n}}\]                 \[\because \]     \[{{N}_{0}}=1g\]                                 \[N=1\times {{\left( \frac{1}{2} \right)}^{4}}\]                                 \[N=\frac{1}{16}g\]


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