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

  • question_answer
    A radioactive material has a half-life of 8 years. The activity of the material will decrease to about 1/8 of its original value in                                                                                            [UPSEAT 2005]

    A)            256 year                                 

    B)            128 year                                         

    C)            64 year                                   

    D)            24 year

    Correct Answer: D

    Solution :

               \[\frac{A}{{{A}_{0}}}={{\left( \frac{1}{2} \right)}^{t/{{T}_{1/2}}}}\]Þ \[\frac{1}{8}={{\left( \frac{1}{2} \right)}^{t/8}}\] Þ \[t=24\,years.\]                       


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