CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2004

  • question_answer
    A radioactive isotope has a half-life of 8 days. If today 125 mg is left over. What was its original weight 32 days earlier?

    A)  6g                                         

    B)  5g

    C)  4g                         

    D)         2g

    E)  1g

    Correct Answer: D

    Solution :

    \[{{t}_{1/2}}=8\] days, \[N=125\text{ }mg,\text{ }{{N}_{0}}=?,T=32days\] \[T=n\times {{t}_{1/2}}\]                 \[32=n\times 8\]                 \[n=4\]                 \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{4}}\]                 \[125={{N}_{0}}{{\left( \frac{1}{2} \right)}^{4}}\]                 \[125={{N}_{0}}\times \frac{1}{16}\] \[N=125\times 16=2000\text{ }mg=2g\]


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