Manipal Medical Manipal Medical Solved Paper-2006

  • question_answer
    The half-life period of a radioactive material is 15 min. What per cent of radioactivity of that material will remain after 45 minutes?

    A)  17.5%          

    B)  15%

    C)  12.5%          

    D)  10%

    Correct Answer: C

    Solution :

     \[T=45\text{ }min,\text{ }{{\text{t}}_{-1/2}}=15\text{ }min\] \[\because \] \[T=n\times {{t}_{1/2}}\Rightarrow n=\frac{45}{15}=3\] \[\Rightarrow \] \[n=3\] \[N={{N}_{0}}\times {{\left( \frac{1}{2} \right)}^{3}}\]Let\[{{N}_{0}}=1\] \[N=1\times \frac{1}{8},N=\frac{1}{8}\] \[N=\frac{1}{8}\times 100=12.5%\] \[N=12.5%\]


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