VIT Engineering VIT Engineering Solved Paper-2010

  • question_answer
    The activity of an old piece of wood is just 25% of the fresh piece of wood. If \[{{t}_{1/2}}\] of C-14 is 6000 yr, the age of piece of wood is

    A)  \[6000\text{ }yr\]        

    B)  \[3000\text{ }yr\]

    C)  \[9000\text{ }yr\]

    D)  \[12000\text{ }yr\]

    Correct Answer: D

    Solution :

     \[K=\frac{0.693}{{{t}_{1/2}}}=\frac{0.693}{6000}=1.155\times {{10}^{-4}}\] \[t=\frac{2.303}{k}\log \frac{{{N}_{0}}}{N}\] \[=\frac{2.303}{1.55\times {{10}^{-4}}}\log \frac{100}{25}\] \[=12000yr\]


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