JIPMER Jipmer Medical Solved Paper-2010

  • question_answer
    The half-life of a radio-isotope is 4h. If initial mass of the isotope was 200g, 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 :

    \[M={{M}_{0}}{{\left( \frac{1}{2} \right)}^{t/{{t}_{1/2}}}}\] \[\therefore \]  \[M=200\,{{\left( \frac{1}{2} \right)}^{24/4}}\]       \[=200{{\left( \frac{1}{2} \right)}^{6}}=\frac{200}{64}=3.125\,g\]


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