JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Topic Test - Nuclear Physics and Radioactivity

  • question_answer
    The average life T and the decay constant \[\lambda \] of a radioactive nucleus are related as 

    A) \[T\lambda =1\]

    B) \[T=\frac{0.693}{\lambda }\]

    C) \[\frac{T}{\lambda }=1\]

    D) \[{{\lambda }_{1}},\ {{\lambda }_{2}},\ {{\lambda }_{3}}\]

    Correct Answer: A

    Solution :

    [a] Average life
    \[T=\frac{\text{Sum of all lives of all the atom}}{\text{Total number of atoms }}=\frac{1}{\lambda }\]
    \[\Rightarrow \,\,T\lambda =1\]


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