JIPMER Jipmer Medical Solved Paper-2013

  • question_answer
    The half-life of radio isotope is 4 h. If initial mass of the isotope was 200 g, then mass remaining after 24 h will be

    A)  1.042 g          

    B)         2.084 g

    C)  3.125 g          

    D)         4.167 g

    Correct Answer: C

    Solution :

    From radioactive decay equation \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{t/{{t}_{1/2}}}}\] \[\therefore \] \[N=200\,\,{{\left( \frac{1}{2} \right)}^{24/2}}\]      \[=200\,\,{{\left( \frac{1}{2} \right)}^{6}}\]      \[=\frac{200}{64}=3.125\,g\]


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