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JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Radioactivity

  • question_answer
    \[{{C}^{14}}\] has half-life 5700 years. At the end of 11400 years, the actual amount left is                                            [MP PET 2005]

    A)            0.5 of original amount      

    B)            0.25 of original amount           

    C)            0.125 of original amount         

    D)            0.0625 of original amount

    Correct Answer: B

    Solution :

               \[N={{N}_{0}}\times {{\left( \frac{1}{2} \right)}^{11400/5700}}\]\[={{N}_{0}}{{\left( \frac{1}{2} \right)}^{2}}\] \[=0.25{{N}_{0}}\].


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