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JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Radioactivity

  • 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 buried plants. The age of the wood is about                                       [NCERT 1982]

    A)            5700 years                             

    B)            2850 years

    C)            11,400 years                         

    D)            22,800 years

    Correct Answer: C

    Solution :

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


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