2. Questions Bank
  3. JEE Main & Advanced
  4. Chemistry
  5. Surface & Nuclear Chemistry / भूतल और नाभिकीय रसायन

JEE Main & Advanced Chemistry Surface & Nuclear Chemistry / भूतल और नाभिकीय रसायन Question Bank Artificial Transmutation

  • question_answer
    The \[{{C}^{14}}\]to \[{{C}^{12}}\] ratio in a wooden article is 13% that of the fresh wood. Calculate the age of the wooden article. Given that the half-life of \[{{C}^{14}}\] is 5770 years       [Pb.CET 2004]

    A)                 16989 years       

    B)                 16858 years

    C)                 15675 years       

    D)                 17700 years

    Correct Answer: A

    Solution :

               \[\frac{N}{{{N}_{o}}}={{\left( \frac{1}{2} \right)}^{\frac{T}{{{t}_{1/2}}}}}\Rightarrow \frac{13}{100}={{\left( \frac{1}{2} \right)}^{\frac{T}{5770}}}\]                                 Taking log \[\Rightarrow \log \frac{13}{100}=\frac{T}{5770}\log 1/2\Rightarrow 16989\,yrs\]


You need to login to perform this action.
You will be redirected in 3 sec spinner