JEE Main & Advanced Sample Paper JEE Main Sample Paper-33

  • question_answer
    A radioactive sample P having activity \[10\mu C\] has twice the number of nuclei as another sample Q which has an activity \[20\mu C\], The half lives of P and Q can be:

    A)  20 years and 5 years respectively

    B)  20 years and 10 years respectively

    C)  10 years each

    D)  5 years each

    Correct Answer: A

    Solution :

    \[\frac{\frac{0.693}{\left( {{T}_{1/2}} \right){{ & }_{P}}}2N=10}{\frac{0.693}{{{\left( {{T}_{1/2}} \right)}_{Q}}}\,N=20}\,\Rightarrow \,\frac{{{T}_{Q}}}{{{T}_{P}}}=\frac{1}{4}\,\Rightarrow \,{{T}_{P}}=\,4{{T}_{Q}}\]


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