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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
    What is the value of decay constant of a compound having half-life time \[{{T}_{1/2}}=2.95\] days            [AFMC 1997]

    A)                 \[2.7\times {{10}^{-5}}{{s}^{-1}}\]           

    B)                 \[2.7\times {{10}^{6}}{{s}^{-1}}\]

    C)                 \[2.7\times {{10}^{-6}}{{s}^{-1}}\]           

    D)                 \[3\times {{10}^{5}}{{s}^{-1}}\]

    Correct Answer: C

    Solution :

           \[{{t}_{1/2}}=2.95\]days  = 2.95 × 24 × 60 × 60s = 254880                                 \[\lambda =\frac{0.693}{{{t}_{1/2}}}=\frac{0.693}{254880}=2.7\times {{10}^{-6}}{{s}^{-1}}\]


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