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

  • question_answer
    The activity of a radioactive sample is measured as 9750 counts per minute at t = 0 and as 975 counts per minute at t = 5 minutes. The decay constant is approximately [CBSE PMT 1997]

    A)            0.230 per minute                

    B)            0.461 per minute

    C)            0.691 per minute                

    D)            0.922 per minute

    Correct Answer: B

    Solution :

                       \[A={{A}_{0}}{{e}^{-\lambda t}}\Rightarrow 975=9750\ {{e}^{-\lambda \times 5}}\] \[\Rightarrow {{e}^{5\lambda }}=10\] \[\Rightarrow 5\lambda ={{\log }_{e}}10=2.3026{{\log }_{10}}10=2.3026\] \[\Rightarrow \lambda =0.461\]


You need to login to perform this action.
You will be redirected in 3 sec spinner