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

  • question_answer
    The fraction f of radioactive material that has decayed in time t, varies with time t. The correct variation is given by the curve

    A)            A

    B)            B

    C)            C

    D)            D

    Correct Answer: B

    Solution :

               Number of atoms undecayed \[N={{N}_{0}}{{e}^{-\lambda t}}\] Number of atoms decayed \[={{N}_{0}}-N={{N}_{0}}(1-{{e}^{-\lambda t}})\] Þ Decayed fraction \[f=\frac{{{N}_{0}}-N}{{{N}_{0}}}=1-{{e}^{-\lambda t}}\] i.e. fraction will rise up to 1, following exponential path as shown in graph .


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