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

  • question_answer
    87.5% decomposition of a radioactive substance complete in 3 hours. What is the half-life of that substance        [MP PMT 2003]

    A)                 2 hours                

    B)                 3 hours

    C)                 90 minutes         

    D)                 1 hours

    Correct Answer: D

    Solution :

           \[\frac{0.693}{{{t}_{1/2}}}=\frac{2.303}{180}\times \log \frac{100}{12.5}\]                                 \[{{t}_{1/2}}=\frac{0.693\times 180}{2.303\times 3\times 0.3010}=60min=1\,hr.\]


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