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

  • question_answer
    16 gm sample of a radioactive element is taken from Bombay to Delhi in 2 hour and it was found that 1 gm of the element remained (undisintegrated). Half life of the element is                                  [MP PMT 1994]

    A)            2 hour                                     

    B)            1 hour

    C)            \[\frac{1}{2}hour\]            

    D)            \[\frac{1}{4}hour\]

    Correct Answer: C

    Solution :

               \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{t/{{T}_{1/2}}}}\]Þ \[1=16\,{{\left( \frac{1}{2} \right)}^{\frac{2}{{{T}_{1/2}}}}}\] Þ \[{{T}_{1/2}}=\frac{1}{2}hour\]


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