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NEET Sample Paper NEET Sample Test Paper-46

  • question_answer
    Two radioactive samples have decay constant 15 x and 3 x. If they have the same number of nuclei initially, the ratio of number of nuclei after a time \[\frac{1}{6x}\] is -

    A) \[\frac{1}{e}\]

    B)                                \[\frac{e}{2}\]

    C) \[\frac{1}{{{e}^{4}}}\]                       

    D) \[\frac{1}{{{e}^{2}}}\]

    Correct Answer: D

    Solution :

    \[\frac{{{N}_{1}}}{{{N}_{0}}}=\,\,\frac{{{N}_{0}}{{e}^{-15x\times t}}}{{{N}_{0}}{{e}^{-3x\times t}}}\,\,=\,\,\frac{1}{{{e}^{2}}}\]


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