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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
    The half-life of \[_{6}{{C}^{14}}\] if its K or \[\lambda \] is \[2.31\times {{10}^{-4}}\] is [BHU 1999]

    A)                 \[2\times {{10}^{2}}yrs\]             

    B)                 \[3\times {{10}^{3}}yrs\]

    C)                 \[3.5\times {{10}^{4}}yrs\]          

    D)                 \[4\times {{10}^{3}}yrs\]

    Correct Answer: B

    Solution :

           \[{{t}_{1/2}}=\frac{0.693}{k}=\frac{0.693}{2.31\times {{10}^{-4}}}=0.3\times {{10}^{4}}yrs\]                                 \[=3.0\times {{10}^{3}}yrs.\]


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