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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
    Radioactivity of a radioactive element remains \[\frac{1}{10}\] of the original radioactivity after 2.303 seconds. The half-life period is                                               [CPMT 1985]

    A)                 2.303    

    B)                 0.2303

    C)                 0.693    

    D)                 0.0693

    Correct Answer: C

    Solution :

           \[2.303=\frac{2.303}{0.693}\times {{t}_{1/2}}\log 10\]                                 \[\because \]   \[N=\frac{{{N}_{o}}}{10}\therefore \frac{{{N}_{o}}}{N}=10\].


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