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NEET Sample Paper NEET Sample Test Paper-29

  • question_answer
    A sample of radioactive element containing \[4\times {{10}^{16}}\]active nuclei. Half life of element is 10 days, then number of decayed nuclei after 30 days

    A)  \[0.5\times {{10}^{16}}\]               

    B)  \[2\times {{10}^{16}}\]

    C)  \[3.5\times {{10}^{16}}\]         

    D)  \[1\times {{10}^{16}}\]

    Correct Answer: C

    Solution :

    \[t=nT,\] \[X=\frac{{{X}_{0}}}{{{2}^{n}}},\] \[n=\frac{t}{T}=\frac{30}{10}=3\] Active nuclei \[X=\frac{4\times {{10}^{16}}}{{{(2)}^{3}}}\]and decayed nuclei \[X'=({{X}_{0}}-X)=3.5\times {{10}^{16}}\]           


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