MGIMS WARDHA MGIMS WARDHA Solved Paper-2006

  • question_answer
    A radioactive substance has activity 64 times higher than the required normal level. If \[{{T}_{1/2}}=2h,\] then the time, after which it should             be possible to work with it, is:

    A) 16 h                                       

    B) 6 h

    C) 10h                                        

    D) 12h

    Correct Answer: D

    Solution :

    \[{{R}_{t}}={{R}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\] \[\therefore \] \[1=64{{\left( \frac{1}{2} \right)}^{n}}\] \[\Rightarrow \]               \[\frac{1}{64}={{\left( \frac{1}{2} \right)}^{n}}\] \[\Rightarrow \]               \[{{\left( \frac{1}{2} \right)}^{6}}={{\left( \frac{1}{2} \right)}^{n}}\] \[\Rightarrow \]               \[n=6\] \[\therefore \]Time required \[=n{{T}_{1/2}}\] \[=6\times 2=12h\]


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