JEE Main & Advanced Chemistry Surface & Nuclear Chemistry / भूतल और नाभिकीय रसायन Question Bank Rate of decay and Half-life

  • question_answer
    The radioactivity due to \[{{C}^{14}}\] isotope (half-life 6000 years) of a sample of wood from an ancient tomb was found to be nearly half that of fresh wood, the tomb is therefore about [NCERT 1980, 81; MP PET 1989]

    A)                 3000 years old  

    B)                 6000 years old

    C)                 9000 years old  

    D)                 1200 years old

    Correct Answer: B

    Solution :

           \[N={{N}_{0}}\times {{\left( \frac{1}{2} \right)}^{n}}\]                    \[\frac{1}{2}=1\times {{\left( \frac{1}{2} \right)}^{n}}\]; \[n=1\]                                 \[t=n\times {{t}_{1/2}}=1\times 6000=6000\,\text{yrs}.\]


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