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JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Mock Test - Modern Physics

  • question_answer
    Radioactive element decays to form a stable nuclide, then the rate of decay of reactant \[\left( \frac{dN}{dt} \right)\]will vary with time (t) as shown in figure

    A)     

    B)

    C)

    D)

    Correct Answer: C

    Solution :

    [c] \[N={{N}_{0}}{{e}^{-\lambda t}}\Rightarrow \frac{dN}{dt}=-{{N}_{0}}\lambda {{e}^{-\lambda t}}\] i.e., Rate of decay \[\left( \frac{dN}{dt} \right)\]varies exponentially with time (t).      


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