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

  • question_answer
    The plot of the number \[(N)\] of decayed atoms versus activity \[(A)\] of a radioactive substance is

    A)

    B)                       

    C)                                

    D)

    Correct Answer: D

    Solution :

                       \[N={{N}_{0}}{{e}^{{{-}^{\lambda t}}}}\]and \[A={{A}_{0}}{{e}^{-\lambda t}}\]\[=\lambda {{N}_{0}}{{e}^{-\lambda t}}\]                    \ Ndecayed = N0 ? N = N0 ? N0e-lt­­­Þ Ndecayed = \[{{N}_{0}}-\frac{A}{\lambda }\]                    This is equation of straight line with negative slope.


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