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JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Self Evaluation Test - Nuclei

  • question_answer
    An archaeologist analyses the wood in a prehistoric structure and finds that \[{{C}^{14}}\] (Half-life = 5700 years) to \[{{C}^{12}}\]is only one-fourth of that found in the cells of buried plants. The age of the wood is about

    A)  5700 years

    B)  2850 years

    C)  11,400 years

    D)  22,800 years

    Correct Answer: C

    Solution :

    [c] \[\frac{{{C}_{14}}}{{{C}_{12}}}=\frac{1}{4}={{\left( \frac{1}{2} \right)}^{t/5700}}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\frac{t}{5700}=2\Rightarrow t=11400\] years


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