CET Karnataka Medical CET - Karnataka Medical Solved Paper-2011

  • question_answer
    The fraction of the initial number of radioactive nuclei which remain undecayed after half of a half-life of the radioactive sample is

    A)  \[\frac{1}{4}\]

    B)  \[\frac{1}{2\sqrt{2}}\]

    C)  \[\frac{1}{2}\]

    D)  \[\frac{1}{\sqrt{2}}\]

    Correct Answer: D

    Solution :

    \[{{N}_{0}}={{2}^{n}}N\] \[N=\frac{{{N}_{0}}}{{{2}^{n}}}=\frac{{{N}_{0}}}{{{2}^{4/2}}}=\frac{{{N}_{0}}}{\sqrt{2}}\]


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