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JEE Main & Advanced Chemistry Surface & Nuclear Chemistry / भूतल और नाभिकीय रसायन Question Bank Rate of decay and Half-life

  • question_answer
    The decay constant of a radioactive sample is \['\lambda '\]. The half-life and mean life of the sample are respectively [MNR 1990; IIT 1989]

    A)                 \[\frac{1}{\lambda },\,\frac{\ln \,2}{\lambda }\]                

    B)                 \[\frac{\ln \,2}{\lambda },\,\frac{1}{\lambda }\]

    C)                 \[\lambda \,\ln \,2,\,\frac{1}{\lambda }\]             

    D)                 \[\frac{\lambda }{\ln \,2},\,\frac{1}{\lambda }\]

    Correct Answer: B

    Solution :

              \[{{t}_{1/2}}=\frac{{{\log }_{e}}2}{\lambda }\], Average life \[=\frac{1}{\lambda }\]


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