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

  • question_answer
    A radioactive sample has \[{{N}_{0}}\] active atoms at \[t=0\]. If the rate of disintegration at any time is R and the number of atoms is N, then the ratio R/N varies with time as

    A)                                    

    B)                             

    C)                                    

    D)                            

    Correct Answer: D

    Solution :

                       Rate \[R=-\frac{dN}{dt}\] \[=\lambda \ {{N}_{0}}{{e}^{-\lambda t}}=\lambda N\]           Þ \[\frac{R}{N}\]= l (constant)                    i.e. graph between \[\frac{R}{N}\] and t, be a straight line parallel to the time axis.


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