BHU PMT BHU PMT (Mains) Solved Paper-2006

  • question_answer
    A radioactive substance decays to\[\frac{3}{4}\]th of its original value in 2h. The half-life of the substance is:

    A)  60 min                                 

    B)  30 min

    C)  90 min                                 

    D)  15 min

    Correct Answer: A

    Solution :

                     \[k=\frac{2.303}{t}\log \frac{{{N}_{0}}}{N}\] \[=\frac{2.303}{20}\log \frac{1}{1-\frac{3}{4}}=\frac{2.303}{120}\log 4\] \[=0.0116\text{ }mi{{n}^{-1}}\] \[{{t}_{1/2}}=\frac{0.693}{k}=\frac{0.693}{0.0116}=60\,\min \]


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