Punjab Medical Punjab - MET Solved Paper-2009

  • question_answer
    The half-life of radioactive material is\[3h\]. If the initial amount is\[300g\]. Then after\[18h\], it will remain

    A) \[4.69\,\,g\]                      

    B) \[46.8\,\,g\]

    C) \[9.375\,\,g\]                    

    D) \[93.75\,\,g\]

    Correct Answer: A

    Solution :

    Number of half-lives            \[n=\frac{t}{{{t}_{1/2}}}=\frac{18h}{3h}=6\] Using the relation                 \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\]                 \[N=300\times {{\left( \frac{1}{2} \right)}^{6}}\] Hence,  \[N=300\times \frac{1}{64}=4.69g\]


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