Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2005

  • question_answer
    The disintegration constant of a radioactive element is\[\lambda .\]Its half-life and means life are respectively

    A) \[1\text{/ }\!\!\lambda\!\!\text{ }\] and In \[\text{2/ }\!\!\lambda\!\!\text{ }\]               

    B)  In \[\text{2/ }\!\!\lambda\!\!\text{ }\] and \[\text{1/ }\!\!\lambda\!\!\text{ }\]

    C) \[\text{ }\!\!\lambda\!\!\text{ }\] (In 2)and \[\text{1/ }\!\!\lambda\!\!\text{ }\]              

    D)  \[\text{ }\!\!\lambda\!\!\text{ /}\](In 2) and \[\text{1/ }\!\!\lambda\!\!\text{ }\]

    Correct Answer: B

    Solution :

    Half-life \[{{T}_{1/2}}=\frac{{{\log }_{e}}2}{\lambda }=\frac{In\,2}{\lambda }\] and average life \[=\frac{1}{\lambda }\]


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