Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2004

  • question_answer
    What fraction of a radioactive material will get disintegrated in a period of two half-lives?

    A)  Whole                                 

    B)  Half

    C)  One-fourth                       

    D)  Three-fourth

    Correct Answer: D

    Solution :

    Amount of radioactive material left after two half-lives \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{2T/T}}=\frac{{{N}_{0}}}{4}\] \[\therefore \] Radioactive material decayed                 \[={{N}_{0}}-\frac{{{N}_{0}}}{4}=\frac{3}{4}{{N}_{0}}\] Thus, three-fourth part of the radioactive  material will get disintegrated after two half-lives.


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