Uttarakhand PMT Uttarakhand PMT Solved Paper-2005

  • question_answer
    Radioactive lead, si^207 has a half life of 8 hours. Starting from 1 mg of\[_{82}P{{b}^{207}}\]how much will remain after 24 hours?

    A)  \[\frac{1}{2}mg\]              

    B)  \[\frac{1}{4}mg\]

    C)  \[\frac{1}{8}mg\]            

    D)  \[\frac{1}{6}mg\]

    Correct Answer: C

    Solution :

     We know that mass left = initial mass \[\frac{1}{2}\times \] number of half lives Here, initial mass = 1 mg, number of half lives\[=\frac{24}{8}=3\] \[\therefore \]mass left \[=1\times {{\left( \frac{1}{2} \right)}^{3}}=\frac{1}{8}mg\]


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