JEE Main & Advanced Chemistry Surface & Nuclear Chemistry / भूतल और नाभिकीय रसायन Question Bank Artificial Transmutation

  • question_answer
    Half-life period of a radioactive element is 10.6 yrs. How much time will it take in its 99% decomposition     [RPET 1999]

    A)                 7046 yrs               

    B)                 7.046 yrs

    C)                 704.6 yrs             

    D)                 70.4 yrs

    Correct Answer: D

    Solution :

           \[t=\frac{2.303}{k}\log \frac{a}{0.99a},(a-x)=\frac{99}{100}=0.99a\]                    But \[k=\frac{0.693}{{{t}_{1/2}}}=\frac{0.693}{10.6}=0.0653\] year?1                                    \[t=\frac{2.303}{0.0653}\log \frac{1}{0.99}=70.4yrs.\]


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