Manipal Medical Manipal Medical Solved Paper-2011

  • question_answer
    A radioactive material has a half-life of 8 yr. The activity of the material will decrease to about\[\frac{1}{8}\]th of its original value in

    A)  256 yr           

    B)  128 yr

    C)  64 yr            

    D)  24 yr

    Correct Answer: D

    Solution :

     \[R={{R}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\] \[\frac{R}{{{R}_{0}}}={{\left( \frac{1}{2} \right)}^{t/{{T}_{1/2}}}}\] \[\left( \frac{1}{8} \right)={{\left( \frac{1}{2} \right)}^{t/{{T}_{1/2}}}}\] \[{{\left( \frac{1}{2} \right)}^{3}}={{\left( \frac{1}{2} \right)}^{t/{{T}_{1/2}}}}\] \[\frac{t}{{{T}_{1/2}}}=3\] \[t=3{{T}_{1/2}}=3\times 8=24\,yr\]


You need to login to perform this action.
You will be redirected in 3 sec spinner