RAJASTHAN PMT Rajasthan - PMT Solved Paper-2008

  • question_answer
    The half-life of a radioactive isotope is\[3\,\,h\]. If the initial mass of the isotope were \[256\,\,g\], the mass of it remaining undecayed after \[18\,\,h\] would be

    A) \[4.0\,\,g\]                         

    B)        \[8.0\,\,g\]

    C)        \[12.0\,\,g\]                      

    D)        \[16.0\,\,g\]

    Correct Answer: A

    Solution :

    \[C={{C}_{0}}{{\left( \frac{1}{2} \right)}^{y}}\]                 \[y=\frac{total\,\,time}{{{T}_{1/2}}}=\frac{18}{3}=6\]             \[{{C}_{0}}=256\,\,g\] \[\therefore \]  \[{{C}_{(undecayed)}}=256{{\left( \frac{1}{2} \right)}^{6}}=\frac{256}{64}=\mathbf{4}\,\,\mathbf{g}\]


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