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

  • question_answer
    The count rate of a Geiger- Muller counter for the radiation of a radioactive material of half life of 30 minutes decreases to 5\[{{s}^{-1}}\]after 2 hours. The initial count rate was [CBSE PMT 1995]

    A)            25\[{{s}^{-1}}\]                   

    B)            80\[{{s}^{-1}}\]

    C)            625\[{{s}^{-1}}\]                 

    D)            20\[{{s}^{-1}}\]

    Correct Answer: B

    Solution :

               \[A={{A}_{0}}{{\left( \frac{1}{2} \right)}^{t/{{T}_{1/2}}}}\]Þ\[5={{A}_{0}}{{\left( \frac{1}{2} \right)}^{\frac{2\times 60}{30}}}=\frac{{{A}_{0}}}{16}\]Þ\[{{A}_{0}}=80\,se{{c}^{-1}}\]


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