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

  • question_answer
    The graph which represents the correct variation of logarithm of activity (log A) versus time, in figure is

    A)            A

    B)            B

    C)            C

    D)            D

    Correct Answer: D

    Solution :

               Activity \[A=\lambda \ {{N}_{0}}{{e}^{-\lambda t}}\] Þ\[{{\log }_{e}}A={{\log }_{e}}\lambda \,{{N}_{0}}+{{\log }_{e}}{{e}^{-\lambda t}}\]                    Þ \[{{\log }_{e}}A={{\log }_{e}}C-\lambda t\]                 (Take l N0 = C)                    Þ \[{{\log }_{e}}A=-\lambda t+{{\log }_{e}}C\]                    This is the equation of a straight line having negative slope (= ? l) and positive intercept on loge A axis.


You need to login to perform this action.
You will be redirected in 3 sec spinner