RAJASTHAN PMT Rajasthan - PMT Solved Paper-1996

  • question_answer
    The percentage quantity of a radioactive substance remained after five half-lives will be:

    A)  \[31%\]                                              

    B)         \[3.125%\]

    C)        \[0.3%\]                                              

    D)         \[1%\]

    Correct Answer: B

    Solution :

    Remaining quantity \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\] \[={{N}_{0}}{{\left( \frac{1}{2} \right)}^{5}}=\frac{{{N}_{0}}}{32}\] \[=\frac{100}{32}=3.125%\]


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