JEE Main & Advanced Sample Paper JEE Main Sample Paper-9

  • question_answer
    The fossil bone \[^{14}C{{:}^{12}}C\]ratio is \[\frac{1}{16}th\] of that in living animal bone. If the half-life of \[^{14}C\] is 5730 years, then the age of the fossil bone is

    A)  11460 years                      

    B)  17190 years

    C)  22920 years                      

    D)  45840 years

    Correct Answer: C

    Solution :

    After n half-lives the number of nuclides left un decayed is,\[N=\frac{{{N}_{0}}}{{{2}^{n}}}\]where\[{{N}_{0}}\] is initial number of nuclides. Here in present case the activity decreases to \[1/16={{\left( \frac{1}{2} \right)}^{4}}\]times of initial one i.e. 4 half-life is the age of fossil bone.


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